Edit Profile (opens in new tab) Martínez Gamba, Irene Co-Author Distance Author ID: gamba.irene-m Published as: Gamba, Irene M.; Gamba, I. M.; Martínez Gamba, Irene; Gamba, Irene Martínez; Gamba, Irene; Gamba, Irene Martinez; Martínez-Gamba, Irene; Gamba, Irène; Gamba, I. more...less Homepage: https://www.ma.utexas.edu/users/gamba/ External Links: MGP · Wikidata · Google Scholar · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 116 Publications since 1986, including 16 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 84 Co-Authors with 106 Joint Publications 3,058 Co-Co-Authors all top 5 Co-Authors 13 single-authored 12 Alonso, Ricardo J. 12 Shu, Chi-Wang 10 Bobylev, Alexandre Vasiljévitch 8 Carrillo de la Plata, José Antonio 8 Cheng, Yingda 7 Majorana, Armando 6 Ben Abdallah, Naoufel 6 Cercignani, Carlo 6 Haack, Jeffrey R. 5 Arnold, Anton 5 Gualdani, Maria Pia 5 Levermore, C. David 5 Taskovic, Maja 4 Degond, Pierre 4 Morales Escalante, José A. 4 Panferov, Vladislav A. 4 Pavlović, Nataša 4 Tharkabhushanam, Sri Harsha 4 Zhang, Chenglong 3 Bostan, Mihai 3 Jin, Shi 3 Jüngel, Ansgar 3 Liu, Liu 3 Morrison, Philip J. 3 Pavić-Čolić, Milana 3 Ren, Kui 3 Rjasanow, Sergej 3 Sparber, Christof 3 Villani, Cédric 2 Abdelmalik, Michael R. A. 2 Ampatzoglou, Ioakeim 2 Glassey, Robert Thomas 2 Hauck, Cory D. 2 Huang, Kun 2 Jerome, Joseph W. 2 Mouhot, Clément 2 Ringhofer, Christian A. 2 Squeff, Maria Cristina J. 2 Synge Morawetz, Cathleen 2 Tran, Minh-Binh 2 Vasseur, Alexis F. 2 Wagner, Wolfgang 1 Akopian, Sona 1 Baidoo, Frimpong A. 1 Bardos, Claude Williams 1 Breizman, Boris 1 Cáceres, María-José 1 Cañizo, José Alfredo 1 Carneiro, Emanuel 1 Chelikowsky, James R. 1 Čolić, Milana 1 de la Canal, Erica 1 Douglas, Jim jun. 1 Endeve, Eirik 1 Golse, François 1 Goudon, Thierry 1 Harmon, Michael 1 He, Yuan 1 Heath, R. E. 1 Hu, Jingwei 1 Hughes, Thomas J. R. 1 Kang, Moon-Jin 1 Klar, Axel 1 Lee, Heung-Chan 1 Li, Fengyan 1 Li, Qin 1 Magin, Thierry E. 1 Michler, Christian 1 Mischler, Stéphane 1 Morales, José Antonio 1 Motsch, Sébastien 1 Munafò, Alessandro 1 Muscato, Orazio 1 Nair, Anjali N. 1 Pennie, Clark A. 1 Potapenko, Irina F. 1 Proft, Jennifer 1 Rosales, Rodolfo Ruben 1 Sharp, Richard W. 1 Smith, Leslie M. 1 Tabak, Esteban G. 1 Toscani, Giuseppe 1 Yu, Cheng 1 Zhang, Ping all top 5 Serials 14 Journal of Computational Physics 10 Journal of Statistical Physics 4 Archive for Rational Mechanics and Analysis 4 Communications in Mathematical Physics 4 SIAM Journal on Numerical Analysis 4 SIAM Journal on Applied Mathematics 4 Kinetic and Related Models 3 Computer Methods in Applied Mechanics and Engineering 3 Communications on Pure and Applied Mathematics 3 Communications in Partial Differential Equations 2 Journal of Mathematical Physics 2 Transport Theory and Statistical Physics 2 Applied Mathematics Letters 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Communications in Mathematical Sciences 2 The IMA Volumes in Mathematics and its Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Physics of Fluids, A 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Advances in Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Computational Mathematics 1 Physica D 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Matemática Aplicada e Computacional 1 SIAM Journal on Scientific Computing 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Mathematical Fluid Mechanics 1 Communications in Nonlinear Science and Numerical Simulation 1 Oberwolfach Reports 1 International Journal for Uncertainty Quantification 1 S\(\vec{\text{e}}\)MA Journal all top 5 Fields 70 Statistical mechanics, structure of matter (82-XX) 66 Partial differential equations (35-XX) 61 Fluid mechanics (76-XX) 32 Numerical analysis (65-XX) 13 Optics, electromagnetic theory (78-XX) 9 Integral equations (45-XX) 3 General and overarching topics; collections (00-XX) 3 Mechanics of deformable solids (74-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 1,568 times in 899 Documents Cited by ▼ Year ▼ On some properties of kinetic and hydrodynamic equations for inelastic interactions. Zbl 1056.76071 Bobylev, A. V.; Carrillo, J. A.; Gamba, I. M. 97 2000 Stationary transonic solutions of a one-dimensional hydrodynamic model for semiconductors. Zbl 0748.35049 Martínez Gamba, Irene 79 1992 Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states. Zbl 1159.82320 Gamba, Irene M.; Tharkabhushanam, Sri Harsha 79 2009 A discontinuous Galerkin method for the Vlasov-Poisson system. Zbl 1244.82081 Heath, R. E.; Gamba, I. M.; Morrison, P. J.; Michler, C. 75 2012 Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions. Zbl 1097.82021 Bobylev, A. V.; Gamba, I. M.; Panferov, V. A. 65 2004 On the Boltzmann equation for diffusively excited granular media. Zbl 1106.82031 Gamba, I. M.; Panferov, V.; Villani, C. 64 2004 A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: Performance and comparisons with Monte Carlo methods. Zbl 1034.82063 Carrillo, José A.; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 52 2003 Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation. Zbl 1273.76373 Gamba, I. M.; Panferov, V.; Villani, C. 48 2009 A fast spectral method for the Boltzmann collision operator with general collision kernels. Zbl 1394.35310 Gamba, Irene M.; Haack, Jeffrey R.; Hauck, Cory D.; Hu, Jingwei 46 2017 Discontinuous Galerkin methods for the Vlasov-Maxwell equations. Zbl 1307.76051 Cheng, Yingda; Gamba, Irene M.; Li, Fengyan; Morrison, Philip J. 42 2014 A viscous approximation for a 2-D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow. Zbl 0863.76029 Gamba, Irene M.; Morawetz, Cathleen S. 40 1996 Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems. Zbl 1281.82028 Cheng, Yingda; Gamba, Irene M.; Morrison, Philip J. 33 2013 On the self-similar asymptotics for generalized nonlinear kinetic Maxwell models. Zbl 1192.35126 Bobylev, A. V.; Cercignani, C.; Gamba, I. M. 31 2009 A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano-devices. Zbl 1229.82005 Cheng, Yingda; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 30 2009 Positive solutions to singular second and third order differential equations for quantum fluids. Zbl 1013.76009 Gamba, Irene M.; Jüngel, Ansgar 29 2001 Shock and boundary structure formation by spectral-Lagrangian methods for the inhomogeneous Boltzmann transport equation. Zbl 1228.76138 Gamba, Irene M.; Tharkabhushanam, Sri Harsha 28 2010 Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209 Gamba, Irene M.; Jüngel, Ansgar; Vasseur, Alexis 27 2009 Boltzmann equations for mixtures of Maxwell gases: exact solutions and power like tails. Zbl 1134.82032 Bobylev, A. V.; Gamba, I. M. 27 2006 High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor. Zbl 0894.76072 Cercignani, C.; Gamba, I. M.; Levermore, C. D. 26 1997 Galerkin-Petrov approach for the Boltzmann equation. Zbl 1406.65094 Gamba, Irene M.; Rjasanow, Sergej 26 2018 2D semiconductor device simulations by WENO-Boltzmann schemes: efficiency, boundary conditions and comparison to Monte Carlo methods. Zbl 1098.82033 Carrillo, José A.; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 25 2006 Global weak solutions for Kolmogorov-Vicsek type equations with orientational interactions. Zbl 1348.35276 Gamba, Irene M.; Kang, Moon-Jin 24 2016 Device benchmark comparisons via kinetic, hydrodynamic, and high-field models. Zbl 0966.76080 Cercignani, Carlo; Gamba, Irene M.; Jerome, Joseph W.; Shu, Chi-Wang 22 2000 Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations. Zbl 1233.82036 Cheng, Yingda; Gamba, Irene M.; Proft, Jennifer 22 2012 Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with Integrable angular cross section. Zbl 1194.82080 Alonso, Ricardo J.; Gamba, Irene M. 21 2009 A conservative spectral method for the Boltzmann equation with anisotropic scattering and the grazing collisions limit. Zbl 1349.82080 Gamba, Irene M.; Haack, Jeffrey R. 21 2014 Convolution inequalities for the Boltzmann collision operator. Zbl 1206.35187 Alonso, Ricardo J.; Carneiro, Emanuel; Gamba, Irene M. 19 2010 Low and high field scaling limits for the Vlasov- and Wigner-Poisson-Fokker-Planck systems. Zbl 1106.82381 Arnold, A.; Carrillo, J. A.; Gamba, I.; Shu, C.-W. 19 2001 A new approach to the creation and propagation of exponential moments in the Boltzmann equation. Zbl 1280.82008 Alonso, Ricardo; Cañizo, José A.; Gamba, Irene; Mouhot, Clément 19 2013 On the blowing up of solutions to quantum hydrodynamic models on bounded domains. Zbl 1173.35106 Gamba, Irene M.; Gualdani, Maria Pia; Zhang, Ping 17 2009 A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations. Zbl 1242.65202 Cheng, Yingda; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 16 2011 Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model. Zbl 1220.82099 Cheng, Yingda; Gamba, Irene M.; Ren, Kui 15 2011 A drift-collision balance for a Boltzmann–Poisson system in bounded domains. Zbl 0987.82012 Cercignani, C.; Gamba, I. M.; Levermore, C. D. 15 2001 Coupling one-dimensional time-dependent classical and quantum transport models. Zbl 1052.82027 Ben Abdallah, N.; Degond, P.; Gamba, I. M. 14 2002 A spectral-Lagrangian Boltzmann solver for a multi-energy level gas. Zbl 1349.76720 Munafò, Alessandro; Haack, Jeffrey R.; Gamba, Irene M.; Magin, Thierry E. 14 2014 Direct simulation of the uniformly heated granular Boltzmann equation. Zbl 1088.35049 Gamba, I. M.; Rjasanow, S.; Wagner, W. 13 2005 Generalized kinetic Maxwell type models of granular gases. Zbl 1298.76209 Bobylev, A. V.; Cercignani, C.; Gamba, I. M. 13 2008 On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures. Zbl 1434.35036 Gamba, Irene M.; Pavić-Čolić, Milana 13 2020 A conservative scheme for Vlasov Poisson Landau modeling collisional plasmas. Zbl 1376.76029 Zhang, Chenglong; Gamba, Irene M. 13 2017 On the wave turbulence theory for stratified flows in the ocean. Zbl 1442.35461 Gamba, Irene M.; Smith, Leslie M.; Tran, Minh-Binh 12 2020 On Mittag-Leffler moments for the Boltzmann equation for hard potentials without cutoff. Zbl 1386.35319 Tasković, Maja; Alonso, Ricardo J.; Gamba, Irene M.; Pavlović, Nataša 12 2018 Computational macroscopic approximations to the one-dimensional relaxation-time kinetic system for semiconductors. Zbl 0976.82053 Carrillo, Jose A.; Gamba, Irene M.; Shu, Chi-Wang 12 2000 Convergence and error estimates for the Lagrangian-based conservative spectral method for Boltzmann equations. Zbl 1404.76185 Alonso, Ricardo J.; Gamba, Irene M.; Tharkabhushanam, Sri Harsha 12 2018 The Wigner-Fokker-Planck equation: stationary states and large time behavior. Zbl 1253.82065 Arnold, Anton; Gamba, Irene M.; Gualdani, Maria Pia; Mischler, Stéphane; Mouhot, Clement; Sparber, Christof 11 2012 Global solutions of the Boltzmann equation over \({\mathbb{R}^D}\) near global Maxwellians with small mass. Zbl 1361.35125 Bardos, Claude; Gamba, Irene M.; Golse, François; Levermore, C. David 11 2016 Asymptotic limits for quantum trajectory models. Zbl 1006.35081 Gamba, Irene M.; Jüngel, Ansgar 10 2002 Simulation of the transient behavior of a one-dimensional semiconductor device. Zbl 0625.65123 Douglas, Jim jun.; Martínez-Gamba, Irene; Squeff, M. Cristina J. 10 1986 Spectral method for a kinetic swarming model. Zbl 1349.76682 Gamba, Irene M.; Haack, Jeffrey R.; Motsch, Sebastien 10 2015 Numerical study of one-dimensional Vlasov-Poisson equations for infinite homogeneous stellar systems. Zbl 1243.85008 Cheng, Yingda; Gamba, Irene M. 9 2012 On the minimization problem of sub-linear convex functionals. Zbl 1251.35168 Ben Abdallah, Naoufel; Gamba, Irene M.; Toscani, Giuseppe 9 2011 Propagation of \(L^1\) and \(L^\infty \) Maxwellian weighted bounds for derivatives of solutions to the homogeneous elastic Boltzmann equation. Zbl 1388.76334 Alonso, Ricardo J.; Gamba, Irene M. 8 2008 Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations. Zbl 1451.76112 Gamba, Irene M.; Jin, Shi; Liu, Liu 8 2019 Upper Maxwellian bounds for the Boltzmann equation with pseudo-Maxwell molecules. Zbl 1353.76075 Bobylev, Alexander V.; Gamba, Irene M. 8 2017 An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation. Zbl 1185.65180 Gamba, Irene M.; Gualdani, Maria Pia; Sharp, Richard W. 7 2009 Simulation of the transient behavior of a one-dimensional semiconductor device. II. Zbl 0669.65086 Martínez Gamba, Irene; Squeff, Maria Cristina J. 7 1989 Gain of integrability for the Boltzmann collisional operator. Zbl 1429.35168 Alonso, Ricardo J.; Gamba, Irene M. 7 2011 Deterministic kinetic solvers for charged particle transport in semiconductor devices. Zbl 1203.82109 Cáceres, M. J.; Carrillo, J. A.; Gamba, I. M.; Majorana, A.; Shu, C.-W. 7 2007 On some properties of the Landau kinetic equation. Zbl 1333.35151 Bobylev, Alexander; Gamba, Irene; Potapenko, Irina 7 2015 On the Cauchy problem for Boltzmann equation modeling a polyatomic gas. Zbl 1511.76089 Gamba, Irene M.; Pavić-Čolić, Milana 7 2023 On the rate of relaxation for the Landau kinetic equation and related models. Zbl 1377.35202 Bobylev, Alexander; Gamba, Irene M.; Zhang, Chenglong 7 2017 Constraints on possible singularities for the unsteady transonic small disturbance (UTSD) equations. Zbl 0928.35033 Gamba, Irene M.; Rosales, Rodolfo R.; Tabak, Esteban G. 6 1999 On pointwise exponentially weighted estimates for the Boltzmann equation. Zbl 1453.35132 Gamba, Irene M.; Pavlović, Nataša; Tasković, Maja 6 2019 Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. Zbl 1236.82062 Bostan, Mihai; Gamba, Irene M.; Thierry; Vasseur, Alexis 6 2010 Global well-posedness of a binary-ternary Boltzmann equation. Zbl 1509.35173 Ampatzoglou, Ioakeim; Gamba, Irene M.; Pavlović, Nataša; Tasković, Maja 6 2022 On the modeling and simulation of reaction-transfer dynamics in semiconductor-electrolyte solar cells. Zbl 1351.82113 He, Yuan; Gamba, Irene M.; Lee, Heung-Chan; Ren, Kui 6 2015 A domain decomposition method for Silicon devices. Zbl 1028.82021 Cercignani, Carlo; Gamba, Irene M.; Jerome, Joseph W.; Shu, Chi-Wang 5 2000 Impact of strong magnetic fields on collision mechanism for transport of charged particles. Zbl 1267.82125 Bostan, Mihai; Gamba, Irene M. 5 2012 Erratum on: On some properties of kinetic and hydrodynamic equations for inelastic interactions”. Zbl 1126.82323 Bobylev, A. V.; Carrillo, J. A.; Gamba, I. M. 4 2001 Comparison of Monte Carlo and deterministic simulations of a silicon diode. Zbl 1041.82524 Carrillo, Jose A.; Gamba, Irene M.; Muscato, Orazio; Shu, Chi-Wang 4 2004 A note on the time decay of solutions for the linearized Wigner-Poisson system. Zbl 1180.35435 Gamba, Irene M.; Gualdani, Maria Pia; Sparber, Christof 4 2009 Global weak solutions to compressible Navier-Stokes-Vlasov-Boltzmann systems for spray dynamics. Zbl 1448.35394 Gamba, Irene M.; Yu, Cheng 4 2020 A conservative discontinuous Galerkin solver for the space homogeneous Boltzmann equation for binary interactions. Zbl 1403.65079 Zhang, Chenglong; Gamba, Irene M. 4 2018 Error estimate of a bifidelity method for kinetic equations with random parameters and multiple scales. Zbl 1498.35377 Gamba, Irene M.; Jin, Shi; Liu, Liu 4 2021 Asymptotic behavior at the boundary of a semiconductor device in two space dimensions. Zbl 0791.35012 Martínez Gamba, Irene 3 1993 Boundary-layer formation for viscosity approximations in transonic flow. Zbl 0748.76066 Gamba, Irene Martínez 2 1992 An existence and uniqueness result of a nonlinear two-dimensional elliptic boundary value problem. Zbl 0840.35026 Gamba, Irene M. 2 1995 The Milne problem for high field kinetic equations. Zbl 1126.82009 Ben Abdallah, N.; Gamba, I. M.; Klar, Axel 2 2004 Viscosity approximating solutions to ODE systems that admit shocks, and their limits. Zbl 0799.34056 Gamba, Irene Martinez 2 1994 A revision on classical solutions to the Cauchy Boltzmann problem for soft potentials. Zbl 1219.82135 Alonso, Ricardo J.; Gamba, Irene M. 2 2011 The Cauchy problem for Boltzmann bi-linear systems: the mixing of monatomic and polyatomic gases. Zbl 1532.35331 Alonso, Ricardo J.; Čolić, Milana; Gamba, Irene M. 2 2024 Inflow boundary conditions for the time dependent one-dimensional Schrödinger equation. Zbl 1158.35344 Ben Abdallah, Naoufel; Degond, Pierre; Gamba, Irène 2 2000 Reconstructing the thermal phonon transmission coefficient at solid interfaces in the phonon transport equation. Zbl 1482.35273 Gamba, Irene M.; Li, Qin; Nair, Anjali 2 2022 Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells. Zbl 1373.82101 Harmon, Michael; Gamba, Irene M.; Ren, Kui 2 2016 Spectral solvers to non-conservative transport for non-linear interactive systems of Boltzmann type. Zbl 1323.76070 Gamba, I. M.; Tharkabhushanam, S. H. 2 2008 Higher order asymptotic boundary conditions for an oxide region in a semiconductor device. Zbl 0883.35033 Gamba, Irene M. 1 1997 Behavior of the potential at the pn-junction for a model in semiconductor theory. Zbl 0759.35048 Martínez Gamba, Irene 1 1990 Asymptotic boundary conditions for an oxide region in a semiconductor device. Zbl 0801.35134 Gamba, Irene Martínez 1 1993 Viscous approximation to transonic gas dynamics: Flow past profiles and charged-particle systems. Zbl 0938.76047 Gamba, I. M.; Morawetz, C. S. 1 1998 Sharp uniform bounds for steady potential fluid-Poisson systems. Zbl 0883.35093 Gamba, Irene M. 1 1997 Asymptotic-preserving schemes for two-species binary collisional kinetic system with disparate masses. I: Time discretization and asymptotic analysis. Zbl 1433.35211 Gamba, Irene M.; Jin, Shi; Liu, Liu 1 2019 On the inelastic Boltzmann equation with diffusive forcing. Zbl 1032.76065 Gamba, Irene M.; Panferov, Vladislav; Villani, Cedric 1 2002 The linear Boltzmann equation with space periodic electric field. Zbl 1208.35099 Bostan, Mihai; Gamba, Irene M.; Goudon, Thierry 1 2010 Discontinuous Galerkin deterministic solvers for a Boltzmann-Poisson model of hot electron transport by averaged empirical pseudopotential band structures. Zbl 1439.82062 Morales-Escalante, José; Gamba, Irene M.; Cheng, Yingda; Majorana, Armando; Shu, Chi-Wang; Chelikowsky, James 1 2017 Deterministic solvers for nonlinear collisional kinetic flows: a conservative spectral scheme for Boltzmann type flows. Zbl 1457.76136 Gamba, I. M. 1 2017 Galerkin methods for Boltzmann-Poisson transport with reflection conditions on rough boundaries. Zbl 1395.65083 Morales Escalante, José A.; Gamba, Irene M. 1 2018 The Cauchy problem for Boltzmann bi-linear systems: the mixing of monatomic and polyatomic gases. Zbl 1532.35331 Alonso, Ricardo J.; Čolić, Milana; Gamba, Irene M. 2 2024 On the Cauchy problem for Boltzmann equation modeling a polyatomic gas. Zbl 1511.76089 Gamba, Irene M.; Pavić-Čolić, Milana 7 2023 Global well-posedness of a binary-ternary Boltzmann equation. Zbl 1509.35173 Ampatzoglou, Ioakeim; Gamba, Irene M.; Pavlović, Nataša; Tasković, Maja 6 2022 Reconstructing the thermal phonon transmission coefficient at solid interfaces in the phonon transport equation. Zbl 1482.35273 Gamba, Irene M.; Li, Qin; Nair, Anjali 2 2022 Error estimate of a bifidelity method for kinetic equations with random parameters and multiple scales. Zbl 1498.35377 Gamba, Irene M.; Jin, Shi; Liu, Liu 4 2021 On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures. Zbl 1434.35036 Gamba, Irene M.; Pavić-Čolić, Milana 13 2020 On the wave turbulence theory for stratified flows in the ocean. Zbl 1442.35461 Gamba, Irene M.; Smith, Leslie M.; Tran, Minh-Binh 12 2020 Global weak solutions to compressible Navier-Stokes-Vlasov-Boltzmann systems for spray dynamics. Zbl 1448.35394 Gamba, Irene M.; Yu, Cheng 4 2020 Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations. Zbl 1451.76112 Gamba, Irene M.; Jin, Shi; Liu, Liu 8 2019 On pointwise exponentially weighted estimates for the Boltzmann equation. Zbl 1453.35132 Gamba, Irene M.; Pavlović, Nataša; Tasković, Maja 6 2019 Asymptotic-preserving schemes for two-species binary collisional kinetic system with disparate masses. I: Time discretization and asymptotic analysis. Zbl 1433.35211 Gamba, Irene M.; Jin, Shi; Liu, Liu 1 2019 Galerkin-Petrov approach for the Boltzmann equation. Zbl 1406.65094 Gamba, Irene M.; Rjasanow, Sergej 26 2018 On Mittag-Leffler moments for the Boltzmann equation for hard potentials without cutoff. Zbl 1386.35319 Tasković, Maja; Alonso, Ricardo J.; Gamba, Irene M.; Pavlović, Nataša 12 2018 Convergence and error estimates for the Lagrangian-based conservative spectral method for Boltzmann equations. Zbl 1404.76185 Alonso, Ricardo J.; Gamba, Irene M.; Tharkabhushanam, Sri Harsha 12 2018 A conservative discontinuous Galerkin solver for the space homogeneous Boltzmann equation for binary interactions. Zbl 1403.65079 Zhang, Chenglong; Gamba, Irene M. 4 2018 Galerkin methods for Boltzmann-Poisson transport with reflection conditions on rough boundaries. Zbl 1395.65083 Morales Escalante, José A.; Gamba, Irene M. 1 2018 A fast spectral method for the Boltzmann collision operator with general collision kernels. Zbl 1394.35310 Gamba, Irene M.; Haack, Jeffrey R.; Hauck, Cory D.; Hu, Jingwei 46 2017 A conservative scheme for Vlasov Poisson Landau modeling collisional plasmas. Zbl 1376.76029 Zhang, Chenglong; Gamba, Irene M. 13 2017 Upper Maxwellian bounds for the Boltzmann equation with pseudo-Maxwell molecules. Zbl 1353.76075 Bobylev, Alexander V.; Gamba, Irene M. 8 2017 On the rate of relaxation for the Landau kinetic equation and related models. Zbl 1377.35202 Bobylev, Alexander; Gamba, Irene M.; Zhang, Chenglong 7 2017 Discontinuous Galerkin deterministic solvers for a Boltzmann-Poisson model of hot electron transport by averaged empirical pseudopotential band structures. Zbl 1439.82062 Morales-Escalante, José; Gamba, Irene M.; Cheng, Yingda; Majorana, Armando; Shu, Chi-Wang; Chelikowsky, James 1 2017 Deterministic solvers for nonlinear collisional kinetic flows: a conservative spectral scheme for Boltzmann type flows. Zbl 1457.76136 Gamba, I. M. 1 2017 Global weak solutions for Kolmogorov-Vicsek type equations with orientational interactions. Zbl 1348.35276 Gamba, Irene M.; Kang, Moon-Jin 24 2016 Global solutions of the Boltzmann equation over \({\mathbb{R}^D}\) near global Maxwellians with small mass. Zbl 1361.35125 Bardos, Claude; Gamba, Irene M.; Golse, François; Levermore, C. David 11 2016 Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells. Zbl 1373.82101 Harmon, Michael; Gamba, Irene M.; Ren, Kui 2 2016 Spectral method for a kinetic swarming model. Zbl 1349.76682 Gamba, Irene M.; Haack, Jeffrey R.; Motsch, Sebastien 10 2015 On some properties of the Landau kinetic equation. Zbl 1333.35151 Bobylev, Alexander; Gamba, Irene; Potapenko, Irina 7 2015 On the modeling and simulation of reaction-transfer dynamics in semiconductor-electrolyte solar cells. Zbl 1351.82113 He, Yuan; Gamba, Irene M.; Lee, Heung-Chan; Ren, Kui 6 2015 Discontinuous Galerkin methods for the Vlasov-Maxwell equations. Zbl 1307.76051 Cheng, Yingda; Gamba, Irene M.; Li, Fengyan; Morrison, Philip J. 42 2014 A conservative spectral method for the Boltzmann equation with anisotropic scattering and the grazing collisions limit. Zbl 1349.82080 Gamba, Irene M.; Haack, Jeffrey R. 21 2014 A spectral-Lagrangian Boltzmann solver for a multi-energy level gas. Zbl 1349.76720 Munafò, Alessandro; Haack, Jeffrey R.; Gamba, Irene M.; Magin, Thierry E. 14 2014 Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems. Zbl 1281.82028 Cheng, Yingda; Gamba, Irene M.; Morrison, Philip J. 33 2013 A new approach to the creation and propagation of exponential moments in the Boltzmann equation. Zbl 1280.82008 Alonso, Ricardo; Cañizo, José A.; Gamba, Irene; Mouhot, Clément 19 2013 A discontinuous Galerkin method for the Vlasov-Poisson system. Zbl 1244.82081 Heath, R. E.; Gamba, I. M.; Morrison, P. J.; Michler, C. 75 2012 Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations. Zbl 1233.82036 Cheng, Yingda; Gamba, Irene M.; Proft, Jennifer 22 2012 The Wigner-Fokker-Planck equation: stationary states and large time behavior. Zbl 1253.82065 Arnold, Anton; Gamba, Irene M.; Gualdani, Maria Pia; Mischler, Stéphane; Mouhot, Clement; Sparber, Christof 11 2012 Numerical study of one-dimensional Vlasov-Poisson equations for infinite homogeneous stellar systems. Zbl 1243.85008 Cheng, Yingda; Gamba, Irene M. 9 2012 Impact of strong magnetic fields on collision mechanism for transport of charged particles. Zbl 1267.82125 Bostan, Mihai; Gamba, Irene M. 5 2012 A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations. Zbl 1242.65202 Cheng, Yingda; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 16 2011 Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model. Zbl 1220.82099 Cheng, Yingda; Gamba, Irene M.; Ren, Kui 15 2011 On the minimization problem of sub-linear convex functionals. Zbl 1251.35168 Ben Abdallah, Naoufel; Gamba, Irene M.; Toscani, Giuseppe 9 2011 Gain of integrability for the Boltzmann collisional operator. Zbl 1429.35168 Alonso, Ricardo J.; Gamba, Irene M. 7 2011 A revision on classical solutions to the Cauchy Boltzmann problem for soft potentials. Zbl 1219.82135 Alonso, Ricardo J.; Gamba, Irene M. 2 2011 Shock and boundary structure formation by spectral-Lagrangian methods for the inhomogeneous Boltzmann transport equation. Zbl 1228.76138 Gamba, Irene M.; Tharkabhushanam, Sri Harsha 28 2010 Convolution inequalities for the Boltzmann collision operator. Zbl 1206.35187 Alonso, Ricardo J.; Carneiro, Emanuel; Gamba, Irene M. 19 2010 Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. Zbl 1236.82062 Bostan, Mihai; Gamba, Irene M.; Thierry; Vasseur, Alexis 6 2010 The linear Boltzmann equation with space periodic electric field. Zbl 1208.35099 Bostan, Mihai; Gamba, Irene M.; Goudon, Thierry 1 2010 Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states. Zbl 1159.82320 Gamba, Irene M.; Tharkabhushanam, Sri Harsha 79 2009 Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation. Zbl 1273.76373 Gamba, I. M.; Panferov, V.; Villani, C. 48 2009 On the self-similar asymptotics for generalized nonlinear kinetic Maxwell models. Zbl 1192.35126 Bobylev, A. V.; Cercignani, C.; Gamba, I. M. 31 2009 A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano-devices. Zbl 1229.82005 Cheng, Yingda; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 30 2009 Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209 Gamba, Irene M.; Jüngel, Ansgar; Vasseur, Alexis 27 2009 Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with Integrable angular cross section. Zbl 1194.82080 Alonso, Ricardo J.; Gamba, Irene M. 21 2009 On the blowing up of solutions to quantum hydrodynamic models on bounded domains. Zbl 1173.35106 Gamba, Irene M.; Gualdani, Maria Pia; Zhang, Ping 17 2009 An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation. Zbl 1185.65180 Gamba, Irene M.; Gualdani, Maria Pia; Sharp, Richard W. 7 2009 A note on the time decay of solutions for the linearized Wigner-Poisson system. Zbl 1180.35435 Gamba, Irene M.; Gualdani, Maria Pia; Sparber, Christof 4 2009 Generalized kinetic Maxwell type models of granular gases. Zbl 1298.76209 Bobylev, A. V.; Cercignani, C.; Gamba, I. M. 13 2008 Propagation of \(L^1\) and \(L^\infty \) Maxwellian weighted bounds for derivatives of solutions to the homogeneous elastic Boltzmann equation. Zbl 1388.76334 Alonso, Ricardo J.; Gamba, Irene M. 8 2008 Spectral solvers to non-conservative transport for non-linear interactive systems of Boltzmann type. Zbl 1323.76070 Gamba, I. M.; Tharkabhushanam, S. H. 2 2008 Deterministic kinetic solvers for charged particle transport in semiconductor devices. Zbl 1203.82109 Cáceres, M. J.; Carrillo, J. A.; Gamba, I. M.; Majorana, A.; Shu, C.-W. 7 2007 Boltzmann equations for mixtures of Maxwell gases: exact solutions and power like tails. Zbl 1134.82032 Bobylev, A. V.; Gamba, I. M. 27 2006 2D semiconductor device simulations by WENO-Boltzmann schemes: efficiency, boundary conditions and comparison to Monte Carlo methods. Zbl 1098.82033 Carrillo, José A.; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 25 2006 Direct simulation of the uniformly heated granular Boltzmann equation. Zbl 1088.35049 Gamba, I. M.; Rjasanow, S.; Wagner, W. 13 2005 Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions. Zbl 1097.82021 Bobylev, A. V.; Gamba, I. M.; Panferov, V. A. 65 2004 On the Boltzmann equation for diffusively excited granular media. Zbl 1106.82031 Gamba, I. M.; Panferov, V.; Villani, C. 64 2004 Comparison of Monte Carlo and deterministic simulations of a silicon diode. Zbl 1041.82524 Carrillo, Jose A.; Gamba, Irene M.; Muscato, Orazio; Shu, Chi-Wang 4 2004 The Milne problem for high field kinetic equations. Zbl 1126.82009 Ben Abdallah, N.; Gamba, I. M.; Klar, Axel 2 2004 A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: Performance and comparisons with Monte Carlo methods. Zbl 1034.82063 Carrillo, José A.; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 52 2003 Coupling one-dimensional time-dependent classical and quantum transport models. Zbl 1052.82027 Ben Abdallah, N.; Degond, P.; Gamba, I. M. 14 2002 Asymptotic limits for quantum trajectory models. Zbl 1006.35081 Gamba, Irene M.; Jüngel, Ansgar 10 2002 On the inelastic Boltzmann equation with diffusive forcing. Zbl 1032.76065 Gamba, Irene M.; Panferov, Vladislav; Villani, Cedric 1 2002 Positive solutions to singular second and third order differential equations for quantum fluids. Zbl 1013.76009 Gamba, Irene M.; Jüngel, Ansgar 29 2001 Low and high field scaling limits for the Vlasov- and Wigner-Poisson-Fokker-Planck systems. Zbl 1106.82381 Arnold, A.; Carrillo, J. A.; Gamba, I.; Shu, C.-W. 19 2001 A drift-collision balance for a Boltzmann–Poisson system in bounded domains. Zbl 0987.82012 Cercignani, C.; Gamba, I. M.; Levermore, C. D. 15 2001 Erratum on: On some properties of kinetic and hydrodynamic equations for inelastic interactions”. Zbl 1126.82323 Bobylev, A. V.; Carrillo, J. A.; Gamba, I. M. 4 2001 On some properties of kinetic and hydrodynamic equations for inelastic interactions. Zbl 1056.76071 Bobylev, A. V.; Carrillo, J. A.; Gamba, I. M. 97 2000 Device benchmark comparisons via kinetic, hydrodynamic, and high-field models. Zbl 0966.76080 Cercignani, Carlo; Gamba, Irene M.; Jerome, Joseph W.; Shu, Chi-Wang 22 2000 Computational macroscopic approximations to the one-dimensional relaxation-time kinetic system for semiconductors. Zbl 0976.82053 Carrillo, Jose A.; Gamba, Irene M.; Shu, Chi-Wang 12 2000 A domain decomposition method for Silicon devices. Zbl 1028.82021 Cercignani, Carlo; Gamba, Irene M.; Jerome, Joseph W.; Shu, Chi-Wang 5 2000 Inflow boundary conditions for the time dependent one-dimensional Schrödinger equation. Zbl 1158.35344 Ben Abdallah, Naoufel; Degond, Pierre; Gamba, Irène 2 2000 Constraints on possible singularities for the unsteady transonic small disturbance (UTSD) equations. Zbl 0928.35033 Gamba, Irene M.; Rosales, Rodolfo R.; Tabak, Esteban G. 6 1999 Viscous approximation to transonic gas dynamics: Flow past profiles and charged-particle systems. Zbl 0938.76047 Gamba, I. M.; Morawetz, C. S. 1 1998 High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor. Zbl 0894.76072 Cercignani, C.; Gamba, I. M.; Levermore, C. D. 26 1997 Higher order asymptotic boundary conditions for an oxide region in a semiconductor device. Zbl 0883.35033 Gamba, Irene M. 1 1997 Sharp uniform bounds for steady potential fluid-Poisson systems. Zbl 0883.35093 Gamba, Irene M. 1 1997 A viscous approximation for a 2-D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow. Zbl 0863.76029 Gamba, Irene M.; Morawetz, Cathleen S. 40 1996 An existence and uniqueness result of a nonlinear two-dimensional elliptic boundary value problem. Zbl 0840.35026 Gamba, Irene M. 2 1995 Viscosity approximating solutions to ODE systems that admit shocks, and their limits. Zbl 0799.34056 Gamba, Irene Martinez 2 1994 Asymptotic behavior at the boundary of a semiconductor device in two space dimensions. Zbl 0791.35012 Martínez Gamba, Irene 3 1993 Asymptotic boundary conditions for an oxide region in a semiconductor device. Zbl 0801.35134 Gamba, Irene Martínez 1 1993 Stationary transonic solutions of a one-dimensional hydrodynamic model for semiconductors. Zbl 0748.35049 Martínez Gamba, Irene 79 1992 Boundary-layer formation for viscosity approximations in transonic flow. Zbl 0748.76066 Gamba, Irene Martínez 2 1992 Behavior of the potential at the pn-junction for a model in semiconductor theory. Zbl 0759.35048 Martínez Gamba, Irene 1 1990 Simulation of the transient behavior of a one-dimensional semiconductor device. II. Zbl 0669.65086 Martínez Gamba, Irene; Squeff, Maria Cristina J. 7 1989 Simulation of the transient behavior of a one-dimensional semiconductor device. Zbl 0625.65123 Douglas, Jim jun.; Martínez-Gamba, Irene; Squeff, M. Cristina J. 10 1986 all cited Publications top 5 cited Publications all top 5 Cited by 1,063 Authors 60 Martínez Gamba, Irene 25 Shu, Chi-Wang 22 Carrillo de la Plata, José Antonio 18 Mei, Ming 18 Toscani, Giuseppe 16 Alonso, Ricardo J. 16 Cheng, Yingda 16 Hu, Jingwei 16 Zhang, Kaijun 15 Wang, Yanli 14 Mischler, Stéphane 14 Zhang, Guojing 13 Degond, Pierre 13 Pareschi, Lorenzo 12 Hauck, Cory D. 12 Li, Qin 12 Li, Yeping 12 Mouhot, Clément 12 Romano, Vittorio 12 Wang, Li 11 Bisi, Marzia 11 Crouseilles, Nicolas 11 Dimarco, Giacomo 11 Filbet, Francis 11 Jin, Shi 11 Jüngel, Ansgar 11 Velázquez, Juan J. L. 10 Lods, Bertrand 10 Majorana, Armando 9 Bobylev, Alexandre Vasiljévitch 9 Cai, Zhenning 9 Qiu, Jingmei 8 Pavlović, Nataša 8 Tran, Minh-Binh 7 Ben Abdallah, Naoufel 7 Christlieb, Andrew J. 7 Guo, Wei 7 Ha, Seung-Yeal 7 Haack, Jeffrey R. 7 Jang, Jin Woo 7 Li, Ruo 7 Liu, Liu 7 Merino-Aceituno, Sara 7 Nastasi, Giovanni 7 Negulescu, Claudia 7 Nota, Alessia 7 Russo, Giovanni 7 Schürrer, Ferdinand 7 Spiga, Giampiero 7 Strain, Robert M. 7 Zhong, Xinghui 6 Bae, Myoungjean 6 Bassetti, Federico 6 Briant, Marc 6 Cáceres, María-José 6 Cai, Xiaofeng 6 Chen, Gui-Qiang G. 6 Duan, Ben 6 Guo, Boling 6 Guo, Yan 6 Laurençot, Philippe 6 Li, Hailiang 6 Liu, Yunxian 6 Loubère, Raphaël 6 Ni, Guoxi 6 Ren, Kui 6 Rey, Thomas 6 Wang, Guangwu 6 Yang, Jianwei 5 Alekseenko, Alexander M. 5 Chen, Liang 5 Diez, Antoine 5 Duan, Renjun 5 Hu, Zhicheng 5 Hwang, Hyung Ju 5 Lu, Tiao 5 Qi, Kunlun 5 Rjasanow, Sergej 5 Sadr, Mohsen 5 Taskovic, Maja 5 Torrilhon, Manuel 5 Wagner, Wolfgang 5 Wang, Shu 5 Wang, Yi 5 Yao, Wenqi 5 Yun, Seok-Bae 4 Ampatzoglou, Ioakeim 4 Asadzadeh, Mohammad Sina 4 Bagland, Véronique 4 Battiato, Marco 4 Bernhoff, Niclas 4 Boscheri, Walter 4 Bostan, Mihai 4 Brull, Stephane 4 Cañizo, José Alfredo 4 Cao, Yong 4 Carlen, Eric Anders 4 Cercignani, Carlo 4 Dong, Jianwei 4 Dreher, Michael ...and 963 more Authors all top 5 Cited in 147 Serials 139 Journal of Computational Physics 68 Journal of Statistical Physics 38 Journal of Differential Equations 38 Kinetic and Related Models 28 SIAM Journal on Mathematical Analysis 27 SIAM Journal on Scientific Computing 26 Journal of Scientific Computing 25 Journal of Mathematical Analysis and Applications 24 Archive for Rational Mechanics and Analysis 23 Communications in Mathematical Physics 18 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 17 Journal of Mathematical Physics 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 Computer Methods in Applied Mechanics and Engineering 13 SIAM Journal on Numerical Analysis 13 Applied Mathematics Letters 12 Communications in Computational Physics 11 Multiscale Modeling & Simulation 10 Transport Theory and Statistical Physics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Computers and Fluids 8 Computer Physics Communications 8 Mathematical Methods in the Applied Sciences 8 Physica D 8 Nonlinear Analysis. Real World Applications 7 Mathematics of Computation 7 Journal of Computational and Applied Mathematics 7 Applied Numerical Mathematics 7 Discrete and Continuous Dynamical Systems 6 Computers & Mathematics with Applications 6 Communications in Partial Differential Equations 6 Journal of Statistical Mechanics: Theory and Experiment 5 Journal of Fluid Mechanics 5 Advances in Mathematics 5 Journal of Functional Analysis 5 Quarterly of Applied Mathematics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Stochastic Processes and their Applications 5 Communications on Pure and Applied Analysis 5 Journal of Hyperbolic Differential Equations 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Inverse Problems 4 Acta Applicandae Mathematicae 4 COMPEL 4 SIAM Journal on Applied Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 4 Acta Numerica 4 Oberwolfach Reports 4 Communications on Applied Mathematics and Computation 4 Journal of Computational and Theoretical Transport 3 Nonlinearity 3 Physica A 3 Ricerche di Matematica 3 Mathematical and Computer Modelling 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Continuum Mechanics and Thermodynamics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Communications in Contemporary Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Networks and Heterogeneous Media 3 Science China. Mathematics 3 SIAM/ASA Journal on Uncertainty Quantification 3 Annals of PDE 2 Applicable Analysis 2 Communications on Pure and Applied Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 BIT 2 Inventiones Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Probability Theory and Related Fields 2 Science in China. Series A 2 International Journal of Mathematics 2 The Annals of Applied Probability 2 Journal of Nonlinear Science 2 NoDEA. Nonlinear Differential Equations and Applications 2 Electronic Journal of Probability 2 Mathematics and Mechanics of Solids 2 Journal of Mathematical Fluid Mechanics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Analysis and Applications (Singapore) 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 2 S\(\vec{\text{e}}\)MA Journal 2 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Computational Physics: X 1 Physics Letters. A 1 Theoretical and Mathematical Physics 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Automatica 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Journal of Philosophical Logic 1 Monatshefte für Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Control and Optimization ...and 47 more Serials all top 5 Cited in 39 Fields 583 Partial differential equations (35-XX) 478 Statistical mechanics, structure of matter (82-XX) 435 Fluid mechanics (76-XX) 293 Numerical analysis (65-XX) 63 Optics, electromagnetic theory (78-XX) 44 Integral equations (45-XX) 40 Probability theory and stochastic processes (60-XX) 35 Quantum theory (81-XX) 25 Biology and other natural sciences (92-XX) 19 Mechanics of deformable solids (74-XX) 17 Ordinary differential equations (34-XX) 16 Operator theory (47-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Mechanics of particles and systems (70-XX) 8 Computer science (68-XX) 8 Astronomy and astrophysics (85-XX) 6 General and overarching topics; collections (00-XX) 6 Special functions (33-XX) 6 Statistics (62-XX) 6 Operations research, mathematical programming (90-XX) 5 Real functions (26-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Relativity and gravitational theory (83-XX) 5 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Geophysics (86-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Difference and functional equations (39-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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