Edit Profile (opens in new tab) Martínez Gamba, Irene Compute Distance To: Compute 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 Documents Indexed: 97 Publications since 1986 3 Contributions as Editor Co-Authors: 73 Co-Authors with 87 Joint Publications 2,420 Co-Co-Authors all top 5 Co-Authors 13 single-authored 11 Shu, Chi-Wang 10 Bobylev, Alexandre Vasiljévitch 8 Alonso, Ricardo J. 8 Carrillo de la Plata, José Antonio 8 Cheng, Yingda 6 Ben Abdallah, Naoufel 6 Cercignani, Carlo 6 Majorana, Armando 5 Levermore, C. David 4 Arnold, Anton 4 Degond, Pierre 4 Gualdani, Maria Pia 4 Haack, Jeffrey R. 4 Panferov, Vladislav A. 4 Tharkabhushanam, Sri Harsha 3 Bostan, Mihai 3 Jin, Shi 3 Jüngel, Ansgar 3 Liu, Liu 3 Morrison, Philip J. 3 Pavlović, Nataša 3 Ren, Kui 3 Rjasanow, Sergej 3 Taskovic, Maja 3 Villani, Cédric 3 Zhang, Chenglong 2 Glassey, Robert Thomas 2 Jerome, Joseph W. 2 Morales Escalante, José A. 2 Mouhot, Clément 2 Ringhofer, Christian A. 2 Sparber, Christof 2 Squeff, Maria Cristina J. 2 Synge Morawetz, Cathleen 2 Vasseur, Alexis F. 2 Wagner, Wolfgang 1 Ampatzoglou, Ioakeim 1 Bardos, Claude Williams 1 Cáceres, María-José 1 Cañizo, José Alfredo 1 Carneiro, Emanuel 1 Chelikowsky, James R. 1 Douglas, Jim jun. 1 Golse, François 1 Goudon, Thierry 1 Harmon, Michael 1 Hauck, Cory D. 1 He, Yuan 1 Heath, R. E. 1 Hu, Jingwei 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 Motsch, Sébastien 1 Munafò, Alessandro 1 Muscato, Orazio 1 Nair, Anjali N. 1 Pavić-Čolić, Milana 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 Tran, Minh-Binh 1 Yu, Cheng 1 Zhang, Ping all top 5 Serials 13 Journal of Computational Physics 9 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 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 Journal of Mathematical Physics 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 63 Statistical mechanics, structure of matter (82-XX) 62 Partial differential equations (35-XX) 58 Fluid mechanics (76-XX) 26 Numerical analysis (65-XX) 13 Optics, electromagnetic theory (78-XX) 5 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 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 88 Publications have been cited 1,267 times in 718 Documents Cited by ▼ Year ▼ On some properties of kinetic and hydrodynamic equations for inelastic interactions. Zbl 1056.76071Bobylev, A. V.; Carrillo, J. A.; Gamba, I. M. 86 2000 Stationary transonic solutions of a one-dimensional hydrodynamic model for semiconductors. Zbl 0748.35049Martínez Gamba, Irene 66 1992 Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states. Zbl 1159.82320Gamba, Irene M.; Tharkabhushanam, Sri Harsha 63 2009 Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions. Zbl 1097.82021Bobylev, A. V.; Gamba, I. M.; Panferov, V. A. 59 2004 A discontinuous Galerkin method for the Vlasov-Poisson system. Zbl 1244.82081Heath, R. E.; Gamba, I. M.; Morrison, P. J.; Michler, C. 56 2012 On the Boltzmann equation for diffusively excited granular media. Zbl 1106.82031Gamba, I. M.; Panferov, V.; Villani, C. 56 2004 A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices: Performance and comparisons with Monte Carlo methods. Zbl 1034.82063Carrillo, José A.; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 47 2003 Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation. Zbl 1273.76373Gamba, I. M.; Panferov, V.; Villani, C. 43 2009 A fast spectral method for the Boltzmann collision operator with general collision kernels. Zbl 1394.35310Gamba, Irene M.; Haack, Jeffrey R.; Hauck, Cory D.; Hu, Jingwei 37 2017 A viscous approximation for a 2-D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow. Zbl 0863.76029Gamba, Irene M.; Morawetz, Cathleen S. 30 1996 Discontinuous Galerkin methods for the Vlasov-Maxwell equations. Zbl 1307.76051Cheng, Yingda; Gamba, Irene M.; Li, Fengyan; Morrison, Philip J. 28 2014 Positive solutions to singular second and third order differential equations for quantum fluids. Zbl 1013.76009Gamba, Irene M.; Jüngel, Ansgar 27 2001 On the self-similar asymptotics for generalized nonlinear kinetic Maxwell models. Zbl 1192.35126Bobylev, A. V.; Cercignani, C.; Gamba, I. M. 26 2009 Shock and boundary structure formation by spectral-Lagrangian methods for the inhomogeneous Boltzmann transport equation. Zbl 1228.76138Gamba, Irene M.; Tharkabhushanam, Sri Harsha 26 2010 Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems. Zbl 1281.82028Cheng, Yingda; Gamba, Irene M.; Morrison, Philip J. 26 2013 A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano-devices. Zbl 1229.82005Cheng, Yingda; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 24 2009 Boltzmann equations for mixtures of Maxwell gases: exact solutions and power like tails. Zbl 1134.82032Bobylev, A. V.; Gamba, I. M. 23 2006 2D semiconductor device simulations by WENO-Boltzmann schemes: efficiency, boundary conditions and comparison to Monte Carlo methods. Zbl 1098.82033Carrillo, José A.; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 23 2006 High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor. Zbl 0894.76072Cercignani, C.; Gamba, I. M.; Levermore, C. D. 21 1997 Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209Gamba, Irene M.; Jüngel, Ansgar; Vasseur, Alexis 20 2009 Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations. Zbl 1233.82036Cheng, Yingda; Gamba, Irene M.; Proft, Jennifer 20 2012 A conservative spectral method for the Boltzmann equation with anisotropic scattering and the grazing collisions limit. Zbl 1349.82080Gamba, Irene M.; Haack, Jeffrey R. 20 2014 Device benchmark comparisons via kinetic, hydrodynamic, and high-field models. Zbl 0966.76080Cercignani, Carlo; Gamba, Irene M.; Jerome, Joseph W.; Shu, Chi-Wang 18 2000 Galerkin-Petrov approach for the Boltzmann equation. Zbl 1406.65094Gamba, Irene M.; Rjasanow, Sergej 18 2018 Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with Integrable angular cross section. Zbl 1194.82080Alonso, Ricardo J.; Gamba, Irene M. 17 2009 Global weak solutions for Kolmogorov-Vicsek type equations with orientational interactions. Zbl 1348.35276Gamba, Irene M.; Kang, Moon-Jin 17 2016 Convolution inequalities for the Boltzmann collision operator. Zbl 1206.35187Alonso, Ricardo J.; Carneiro, Emanuel; Gamba, Irene M. 16 2010 A new approach to the creation and propagation of exponential moments in the Boltzmann equation. Zbl 1280.82008Alonso, Ricardo; Cañizo, José A.; Gamba, Irene; Mouhot, Clément 14 2013 A drift-collision balance for a Boltzmann–Poisson system in bounded domains. Zbl 0987.82012Cercignani, C.; Gamba, I. M.; Levermore, C. D. 14 2001 On the blowing up of solutions to quantum hydrodynamic models on bounded domains. Zbl 1173.35106Gamba, Irene M.; Gualdani, Maria Pia; Zhang, Ping 14 2009 Low and high field scaling limits for the Vlasov- and Wigner-Poisson-Fokker-Planck systems. Zbl 1106.82381Arnold, A.; Carrillo, J. A.; Gamba, I.; Shu, C.-W. 14 2001 Coupling one-dimensional time-dependent classical and quantum transport models. Zbl 1052.82027Ben Abdallah, N.; Degond, P.; Gamba, I. M. 14 2002 Direct simulation of the uniformly heated granular Boltzmann equation. Zbl 1088.35049Gamba, I. M.; Rjasanow, S.; Wagner, W. 13 2005 Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model. Zbl 1220.82099Cheng, Yingda; Gamba, Irene M.; Ren, Kui 12 2011 Computational macroscopic approximations to the one-dimensional relaxation-time kinetic system for semiconductors. Zbl 0976.82053Carrillo, Jose A.; Gamba, Irene M.; Shu, Chi-Wang 12 2000 A spectral-Lagrangian Boltzmann solver for a multi-energy level gas. Zbl 1349.76720Munafò, Alessandro; Haack, Jeffrey R.; Gamba, Irene M.; Magin, Thierry E. 12 2014 Generalized kinetic Maxwell type models of granular gases. Zbl 1298.76209Bobylev, A. V.; Cercignani, C.; Gamba, I. M. 11 2008 Global solutions of the Boltzmann equation over \({\mathbb{R}^D}\) near global Maxwellians with small mass. Zbl 1361.35125Bardos, Claude; Gamba, Irene M.; Golse, François; Levermore, C. David 11 2016 Simulation of the transient behavior of a one-dimensional semiconductor device. Zbl 0625.65123Douglas, Jim jun.; Martínez-Gamba, Irene; Squeff, M. Cristina J. 10 1986 A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations. Zbl 1242.65202Cheng, Yingda; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 10 2011 Asymptotic limits for quantum trajectory models. Zbl 1006.35081Gamba, Irene M.; Jüngel, Ansgar 9 2002 Numerical study of one-dimensional Vlasov-Poisson equations for infinite homogeneous stellar systems. Zbl 1243.85008Cheng, Yingda; Gamba, Irene M. 8 2012 A conservative scheme for Vlasov Poisson Landau modeling collisional plasmas. Zbl 1376.76029Zhang, Chenglong; Gamba, Irene M. 8 2017 On Mittag-Leffler moments for the Boltzmann equation for hard potentials without cutoff. Zbl 1386.35319Tasković, Maja; Alonso, Ricardo J.; Gamba, Irene M.; Pavlović, Nataša 8 2018 Propagation of \(L^1\) and \(L^\infty \) Maxwellian weighted bounds for derivatives of solutions to the homogeneous elastic Boltzmann equation. Zbl 1388.76334Alonso, Ricardo J.; Gamba, Irene M. 8 2008 The Wigner-Fokker-Planck equation: stationary states and large time behavior. Zbl 1253.82065Arnold, Anton; Gamba, Irene M.; Gualdani, Maria Pia; Mischler, Stéphane; Mouhot, Clement; Sparber, Christof 8 2012 Simulation of the transient behavior of a one-dimensional semiconductor device. II. Zbl 0669.65086Martínez Gamba, Irene; Squeff, Maria Cristina J. 7 1989 On some properties of the Landau kinetic equation. Zbl 1333.35151Bobylev, Alexander; Gamba, Irene; Potapenko, Irina 7 2015 Upper Maxwellian bounds for the Boltzmann equation with pseudo-Maxwell molecules. Zbl 1353.76075Bobylev, Alexander V.; Gamba, Irene M. 7 2017 Spectral method for a kinetic swarming model. Zbl 1349.76682Gamba, Irene M.; Haack, Jeffrey R.; Motsch, Sebastien 7 2015 An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation. Zbl 1185.65180Gamba, Irene M.; Gualdani, Maria Pia; Sharp, Richard W. 6 2009 Gain of integrability for the Boltzmann collisional operator. Zbl 1429.35168Alonso, Ricardo J.; Gamba, Irene M. 6 2011 Deterministic kinetic solvers for charged particle transport in semiconductor devices. Zbl 1203.82109Cáceres, M. J.; Carrillo, J. A.; Gamba, I. M.; Majorana, A.; Shu, C.-W. 6 2007 Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. Zbl 1236.82062Bostan, Mihai; Gamba, Irene M.; Thierry; Vasseur, Alexis 6 2010 On the minimization problem of sub-linear convex functionals. Zbl 1251.35168Ben Abdallah, Naoufel; Gamba, Irene M.; Toscani, Giuseppe 6 2011 Constraints on possible singularities for the unsteady transonic small disturbance (UTSD) equations. Zbl 0928.35033Gamba, Irene M.; Rosales, Rodolfo R.; Tabak, Esteban G. 6 1999 Convergence and error estimates for the Lagrangian-based conservative spectral method for Boltzmann equations. Zbl 1404.76185Alonso, Ricardo J.; Gamba, Irene M.; Tharkabhushanam, Sri Harsha 6 2018 On the modeling and simulation of reaction-transfer dynamics in semiconductor-electrolyte solar cells. Zbl 1351.82113He, Yuan; Gamba, Irene M.; Lee, Heung-Chan; Ren, Kui 6 2015 A domain decomposition method for Silicon devices. Zbl 1028.82021Cercignani, Carlo; Gamba, Irene M.; Jerome, Joseph W.; Shu, Chi-Wang 5 2000 On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures. Zbl 1434.35036Gamba, Irene M.; Pavić-Čolić, Milana 4 2020 On the rate of relaxation for the Landau kinetic equation and related models. Zbl 1377.35202Bobylev, Alexander; Gamba, Irene M.; Zhang, Chenglong 4 2017 Erratum on: On some properties of kinetic and hydrodynamic equations for inelastic interactions”. Zbl 1126.82323Bobylev, A. V.; Carrillo, J. A.; Gamba, I. M. 4 2001 Comparison of Monte Carlo and deterministic simulations of a silicon diode. Zbl 1041.82524Carrillo, Jose A.; Gamba, Irene M.; Muscato, Orazio; Shu, Chi-Wang 4 2004 Impact of strong magnetic fields on collision mechanism for transport of charged particles. Zbl 1267.82125Bostan, Mihai; Gamba, Irene M. 4 2012 On pointwise exponentially weighted estimates for the Boltzmann equation. Zbl 1453.35132Gamba, Irene M.; Pavlović, Nataša; Tasković, Maja 4 2019 A note on the time decay of solutions for the linearized Wigner-Poisson system. Zbl 1180.35435Gamba, Irene M.; Gualdani, Maria Pia; Sparber, Christof 3 2009 Asymptotic behavior at the boundary of a semiconductor device in two space dimensions. Zbl 0791.35012Martínez Gamba, Irene 3 1993 A conservative discontinuous Galerkin solver for the space homogeneous Boltzmann equation for binary interactions. Zbl 1403.65079Zhang, Chenglong; Gamba, Irene M. 3 2018 Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations. Zbl 1451.76112Gamba, Irene M.; Jin, Shi; Liu, Liu 3 2019 An existence and uniqueness result of a nonlinear two-dimensional elliptic boundary value problem. Zbl 0840.35026Gamba, Irene M. 2 1995 A revision on classical solutions to the Cauchy Boltzmann problem for soft potentials. Zbl 1219.82135Alonso, Ricardo J.; Gamba, Irene M. 2 2011 Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells. Zbl 1373.82101Harmon, Michael; Gamba, Irene M.; Ren, Kui 2 2016 Boundary-layer formation for viscosity approximations in transonic flow. Zbl 0748.76066Gamba, Irene Martínez 2 1992 Inflow boundary conditions for the time dependent one-dimensional Schrödinger equation. Zbl 1158.35344Ben Abdallah, Naoufel; Degond, Pierre; Gamba, Irène 2 2000 Viscosity approximating solutions to ODE systems that admit shocks, and their limits. Zbl 0799.34056Gamba, Irene Martinez 2 1994 The Milne problem for high field kinetic equations. Zbl 1126.82009Ben Abdallah, N.; Gamba, I. M.; Klar, Axel 2 2004 Spectral solvers to non-conservative transport for non-linear interactive systems of Boltzmann type. Zbl 1323.76070Gamba, I. M.; Tharkabhushanam, S. H. 2 2008 The linear Boltzmann equation with space periodic electric field. Zbl 1208.35099Bostan, Mihai; Gamba, Irene M.; Goudon, Thierry 1 2010 Asymptotic boundary conditions for an oxide region in a semiconductor device. Zbl 0801.35134Gamba, Irene Martínez 1 1993 Behavior of the potential at the pn-junction for a model in semiconductor theory. Zbl 0759.35048Martínez Gamba, Irene 1 1990 Sharp uniform bounds for steady potential fluid-Poisson systems. Zbl 0883.35093Gamba, Irene M. 1 1997 Higher order asymptotic boundary conditions for an oxide region in a semiconductor device. Zbl 0883.35033Gamba, Irene M. 1 1997 On the inelastic Boltzmann equation with diffusive forcing. Zbl 1032.76065Gamba, Irene M.; Panferov, Vladislav; Villani, Cedric 1 2002 Viscous approximation to transonic gas dynamics: Flow past profiles and charged-particle systems. Zbl 0938.76047Gamba, I. M.; Morawetz, C. S. 1 1998 On the wave turbulence theory for stratified flows in the ocean. Zbl 1442.35461Gamba, Irene M.; Smith, Leslie M.; Tran, Minh-Binh 1 2020 Global weak solutions to compressible Navier-Stokes-Vlasov-Boltzmann systems for spray dynamics. Zbl 1448.35394Gamba, Irene M.; Yu, Cheng 1 2020 Deterministic solvers for nonlinear collisional kinetic flows: a conservative spectral scheme for Boltzmann type flows. Zbl 1457.76136Gamba, I. M. 1 2017 Asymptotic-preserving schemes for two-species binary collisional kinetic system with disparate masses. I: Time discretization and asymptotic analysis. Zbl 1433.35211Gamba, Irene M.; Jin, Shi; Liu, Liu 1 2019 On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures. Zbl 1434.35036Gamba, Irene M.; Pavić-Čolić, Milana 4 2020 On the wave turbulence theory for stratified flows in the ocean. Zbl 1442.35461Gamba, Irene M.; Smith, Leslie M.; Tran, Minh-Binh 1 2020 Global weak solutions to compressible Navier-Stokes-Vlasov-Boltzmann systems for spray dynamics. Zbl 1448.35394Gamba, Irene M.; Yu, Cheng 1 2020 On pointwise exponentially weighted estimates for the Boltzmann equation. Zbl 1453.35132Gamba, Irene M.; Pavlović, Nataša; Tasković, Maja 4 2019 Micro-macro decomposition based asymptotic-preserving numerical schemes and numerical moments conservation for collisional nonlinear kinetic equations. Zbl 1451.76112Gamba, Irene M.; Jin, Shi; Liu, Liu 3 2019 Asymptotic-preserving schemes for two-species binary collisional kinetic system with disparate masses. I: Time discretization and asymptotic analysis. Zbl 1433.35211Gamba, Irene M.; Jin, Shi; Liu, Liu 1 2019 Galerkin-Petrov approach for the Boltzmann equation. Zbl 1406.65094Gamba, Irene M.; Rjasanow, Sergej 18 2018 On Mittag-Leffler moments for the Boltzmann equation for hard potentials without cutoff. Zbl 1386.35319Tasković, Maja; Alonso, Ricardo J.; Gamba, Irene M.; Pavlović, Nataša 8 2018 Convergence and error estimates for the Lagrangian-based conservative spectral method for Boltzmann equations. Zbl 1404.76185Alonso, Ricardo J.; Gamba, Irene M.; Tharkabhushanam, Sri Harsha 6 2018 A conservative discontinuous Galerkin solver for the space homogeneous Boltzmann equation for binary interactions. Zbl 1403.65079Zhang, Chenglong; Gamba, Irene M. 3 2018 A fast spectral method for the Boltzmann collision operator with general collision kernels. Zbl 1394.35310Gamba, Irene M.; Haack, Jeffrey R.; Hauck, Cory D.; Hu, Jingwei 37 2017 A conservative scheme for Vlasov Poisson Landau modeling collisional plasmas. Zbl 1376.76029Zhang, Chenglong; Gamba, Irene M. 8 2017 Upper Maxwellian bounds for the Boltzmann equation with pseudo-Maxwell molecules. Zbl 1353.76075Bobylev, Alexander V.; Gamba, Irene M. 7 2017 On the rate of relaxation for the Landau kinetic equation and related models. Zbl 1377.35202Bobylev, Alexander; Gamba, Irene M.; Zhang, Chenglong 4 2017 Deterministic solvers for nonlinear collisional kinetic flows: a conservative spectral scheme for Boltzmann type flows. Zbl 1457.76136Gamba, I. M. 1 2017 Global weak solutions for Kolmogorov-Vicsek type equations with orientational interactions. Zbl 1348.35276Gamba, Irene M.; Kang, Moon-Jin 17 2016 Global solutions of the Boltzmann equation over \({\mathbb{R}^D}\) near global Maxwellians with small mass. Zbl 1361.35125Bardos, 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 1373.82101Harmon, Michael; Gamba, Irene M.; Ren, Kui 2 2016 On some properties of the Landau kinetic equation. Zbl 1333.35151Bobylev, Alexander; Gamba, Irene; Potapenko, Irina 7 2015 Spectral method for a kinetic swarming model. Zbl 1349.76682Gamba, Irene M.; Haack, Jeffrey R.; Motsch, Sebastien 7 2015 On the modeling and simulation of reaction-transfer dynamics in semiconductor-electrolyte solar cells. Zbl 1351.82113He, Yuan; Gamba, Irene M.; Lee, Heung-Chan; Ren, Kui 6 2015 Discontinuous Galerkin methods for the Vlasov-Maxwell equations. Zbl 1307.76051Cheng, Yingda; Gamba, Irene M.; Li, Fengyan; Morrison, Philip J. 28 2014 A conservative spectral method for the Boltzmann equation with anisotropic scattering and the grazing collisions limit. Zbl 1349.82080Gamba, Irene M.; Haack, Jeffrey R. 20 2014 A spectral-Lagrangian Boltzmann solver for a multi-energy level gas. Zbl 1349.76720Munafò, Alessandro; Haack, Jeffrey R.; Gamba, Irene M.; Magin, Thierry E. 12 2014 Study of conservation and recurrence of Runge-Kutta discontinuous Galerkin schemes for Vlasov-Poisson systems. Zbl 1281.82028Cheng, Yingda; Gamba, Irene M.; Morrison, Philip J. 26 2013 A new approach to the creation and propagation of exponential moments in the Boltzmann equation. Zbl 1280.82008Alonso, Ricardo; Cañizo, José A.; Gamba, Irene; Mouhot, Clément 14 2013 A discontinuous Galerkin method for the Vlasov-Poisson system. Zbl 1244.82081Heath, R. E.; Gamba, I. M.; Morrison, P. J.; Michler, C. 56 2012 Positivity-preserving discontinuous Galerkin schemes for linear Vlasov-Boltzmann transport equations. Zbl 1233.82036Cheng, Yingda; Gamba, Irene M.; Proft, Jennifer 20 2012 Numerical study of one-dimensional Vlasov-Poisson equations for infinite homogeneous stellar systems. Zbl 1243.85008Cheng, Yingda; Gamba, Irene M. 8 2012 The Wigner-Fokker-Planck equation: stationary states and large time behavior. Zbl 1253.82065Arnold, Anton; Gamba, Irene M.; Gualdani, Maria Pia; Mischler, Stéphane; Mouhot, Clement; Sparber, Christof 8 2012 Impact of strong magnetic fields on collision mechanism for transport of charged particles. Zbl 1267.82125Bostan, Mihai; Gamba, Irene M. 4 2012 Recovering doping profiles in semiconductor devices with the Boltzmann-Poisson model. Zbl 1220.82099Cheng, Yingda; Gamba, Irene M.; Ren, Kui 12 2011 A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations. Zbl 1242.65202Cheng, Yingda; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 10 2011 Gain of integrability for the Boltzmann collisional operator. Zbl 1429.35168Alonso, Ricardo J.; Gamba, Irene M. 6 2011 On the minimization problem of sub-linear convex functionals. Zbl 1251.35168Ben Abdallah, Naoufel; Gamba, Irene M.; Toscani, Giuseppe 6 2011 A revision on classical solutions to the Cauchy Boltzmann problem for soft potentials. Zbl 1219.82135Alonso, Ricardo J.; Gamba, Irene M. 2 2011 Shock and boundary structure formation by spectral-Lagrangian methods for the inhomogeneous Boltzmann transport equation. Zbl 1228.76138Gamba, Irene M.; Tharkabhushanam, Sri Harsha 26 2010 Convolution inequalities for the Boltzmann collision operator. Zbl 1206.35187Alonso, Ricardo J.; Carneiro, Emanuel; Gamba, Irene M. 16 2010 Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. Zbl 1236.82062Bostan, Mihai; Gamba, Irene M.; Thierry; Vasseur, Alexis 6 2010 The linear Boltzmann equation with space periodic electric field. Zbl 1208.35099Bostan, Mihai; Gamba, Irene M.; Goudon, Thierry 1 2010 Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states. Zbl 1159.82320Gamba, Irene M.; Tharkabhushanam, Sri Harsha 63 2009 Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation. Zbl 1273.76373Gamba, I. M.; Panferov, V.; Villani, C. 43 2009 On the self-similar asymptotics for generalized nonlinear kinetic Maxwell models. Zbl 1192.35126Bobylev, A. V.; Cercignani, C.; Gamba, I. M. 26 2009 A discontinuous Galerkin solver for Boltzmann-Poisson systems in nano-devices. Zbl 1229.82005Cheng, Yingda; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 24 2009 Global existence of solutions to one-dimensional viscous quantum hydrodynamic equations. Zbl 1181.35209Gamba, Irene M.; Jüngel, Ansgar; Vasseur, Alexis 20 2009 Distributional and classical solutions to the Cauchy Boltzmann problem for soft potentials with Integrable angular cross section. Zbl 1194.82080Alonso, Ricardo J.; Gamba, Irene M. 17 2009 On the blowing up of solutions to quantum hydrodynamic models on bounded domains. Zbl 1173.35106Gamba, Irene M.; Gualdani, Maria Pia; Zhang, Ping 14 2009 An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation. Zbl 1185.65180Gamba, Irene M.; Gualdani, Maria Pia; Sharp, Richard W. 6 2009 A note on the time decay of solutions for the linearized Wigner-Poisson system. Zbl 1180.35435Gamba, Irene M.; Gualdani, Maria Pia; Sparber, Christof 3 2009 Generalized kinetic Maxwell type models of granular gases. Zbl 1298.76209Bobylev, A. V.; Cercignani, C.; Gamba, I. M. 11 2008 Propagation of \(L^1\) and \(L^\infty \) Maxwellian weighted bounds for derivatives of solutions to the homogeneous elastic Boltzmann equation. Zbl 1388.76334Alonso, Ricardo J.; Gamba, Irene M. 8 2008 Spectral solvers to non-conservative transport for non-linear interactive systems of Boltzmann type. Zbl 1323.76070Gamba, I. M.; Tharkabhushanam, S. H. 2 2008 Deterministic kinetic solvers for charged particle transport in semiconductor devices. Zbl 1203.82109Cáceres, M. J.; Carrillo, J. A.; Gamba, I. M.; Majorana, A.; Shu, C.-W. 6 2007 Boltzmann equations for mixtures of Maxwell gases: exact solutions and power like tails. Zbl 1134.82032Bobylev, A. V.; Gamba, I. M. 23 2006 2D semiconductor device simulations by WENO-Boltzmann schemes: efficiency, boundary conditions and comparison to Monte Carlo methods. Zbl 1098.82033Carrillo, José A.; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 23 2006 Direct simulation of the uniformly heated granular Boltzmann equation. Zbl 1088.35049Gamba, I. M.; Rjasanow, S.; Wagner, W. 13 2005 Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions. Zbl 1097.82021Bobylev, A. V.; Gamba, I. M.; Panferov, V. A. 59 2004 On the Boltzmann equation for diffusively excited granular media. Zbl 1106.82031Gamba, I. M.; Panferov, V.; Villani, C. 56 2004 Comparison of Monte Carlo and deterministic simulations of a silicon diode. Zbl 1041.82524Carrillo, Jose A.; Gamba, Irene M.; Muscato, Orazio; Shu, Chi-Wang 4 2004 The Milne problem for high field kinetic equations. Zbl 1126.82009Ben 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 1034.82063Carrillo, José A.; Gamba, Irene M.; Majorana, Armando; Shu, Chi-Wang 47 2003 Coupling one-dimensional time-dependent classical and quantum transport models. Zbl 1052.82027Ben Abdallah, N.; Degond, P.; Gamba, I. M. 14 2002 Asymptotic limits for quantum trajectory models. Zbl 1006.35081Gamba, Irene M.; Jüngel, Ansgar 9 2002 On the inelastic Boltzmann equation with diffusive forcing. Zbl 1032.76065Gamba, Irene M.; Panferov, Vladislav; Villani, Cedric 1 2002 Positive solutions to singular second and third order differential equations for quantum fluids. Zbl 1013.76009Gamba, Irene M.; Jüngel, Ansgar 27 2001 A drift-collision balance for a Boltzmann–Poisson system in bounded domains. Zbl 0987.82012Cercignani, C.; Gamba, I. M.; Levermore, C. D. 14 2001 Low and high field scaling limits for the Vlasov- and Wigner-Poisson-Fokker-Planck systems. Zbl 1106.82381Arnold, A.; Carrillo, J. A.; Gamba, I.; Shu, C.-W. 14 2001 Erratum on: On some properties of kinetic and hydrodynamic equations for inelastic interactions”. Zbl 1126.82323Bobylev, A. V.; Carrillo, J. A.; Gamba, I. M. 4 2001 On some properties of kinetic and hydrodynamic equations for inelastic interactions. Zbl 1056.76071Bobylev, A. V.; Carrillo, J. A.; Gamba, I. M. 86 2000 Device benchmark comparisons via kinetic, hydrodynamic, and high-field models. Zbl 0966.76080Cercignani, Carlo; Gamba, Irene M.; Jerome, Joseph W.; Shu, Chi-Wang 18 2000 Computational macroscopic approximations to the one-dimensional relaxation-time kinetic system for semiconductors. Zbl 0976.82053Carrillo, Jose A.; Gamba, Irene M.; Shu, Chi-Wang 12 2000 A domain decomposition method for Silicon devices. Zbl 1028.82021Cercignani, Carlo; Gamba, Irene M.; Jerome, Joseph W.; Shu, Chi-Wang 5 2000 Inflow boundary conditions for the time dependent one-dimensional Schrödinger equation. Zbl 1158.35344Ben Abdallah, Naoufel; Degond, Pierre; Gamba, Irène 2 2000 Constraints on possible singularities for the unsteady transonic small disturbance (UTSD) equations. Zbl 0928.35033Gamba, Irene M.; Rosales, Rodolfo R.; Tabak, Esteban G. 6 1999 Viscous approximation to transonic gas dynamics: Flow past profiles and charged-particle systems. Zbl 0938.76047Gamba, I. M.; Morawetz, C. S. 1 1998 High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor. Zbl 0894.76072Cercignani, C.; Gamba, I. M.; Levermore, C. D. 21 1997 Sharp uniform bounds for steady potential fluid-Poisson systems. Zbl 0883.35093Gamba, Irene M. 1 1997 Higher order asymptotic boundary conditions for an oxide region in a semiconductor device. Zbl 0883.35033Gamba, Irene M. 1 1997 A viscous approximation for a 2-D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow. Zbl 0863.76029Gamba, Irene M.; Morawetz, Cathleen S. 30 1996 An existence and uniqueness result of a nonlinear two-dimensional elliptic boundary value problem. Zbl 0840.35026Gamba, Irene M. 2 1995 Viscosity approximating solutions to ODE systems that admit shocks, and their limits. Zbl 0799.34056Gamba, Irene Martinez 2 1994 Asymptotic behavior at the boundary of a semiconductor device in two space dimensions. Zbl 0791.35012Martínez Gamba, Irene 3 1993 Asymptotic boundary conditions for an oxide region in a semiconductor device. Zbl 0801.35134Gamba, Irene Martínez 1 1993 Stationary transonic solutions of a one-dimensional hydrodynamic model for semiconductors. Zbl 0748.35049Martínez Gamba, Irene 66 1992 Boundary-layer formation for viscosity approximations in transonic flow. Zbl 0748.76066Gamba, Irene Martínez 2 1992 Behavior of the potential at the pn-junction for a model in semiconductor theory. Zbl 0759.35048Martínez Gamba, Irene 1 1990 Simulation of the transient behavior of a one-dimensional semiconductor device. II. Zbl 0669.65086Martínez Gamba, Irene; Squeff, Maria Cristina J. 7 1989 Simulation of the transient behavior of a one-dimensional semiconductor device. Zbl 0625.65123Douglas, Jim jun.; Martínez-Gamba, Irene; Squeff, M. Cristina J. 10 1986 all cited Publications top 5 cited Publications all top 5 Cited by 851 Authors 56 Martínez Gamba, Irene 21 Carrillo de la Plata, José Antonio 21 Shu, Chi-Wang 17 Toscani, Giuseppe 14 Alonso, Ricardo J. 14 Mischler, Stéphane 14 Zhang, Kaijun 13 Cheng, Yingda 12 Hu, Jingwei 12 Mouhot, Clément 12 Wang, Yanli 11 Degond, Pierre 11 Li, Yeping 10 Dimarco, Giacomo 10 Hauck, Cory D. 10 Jüngel, Ansgar 10 Lods, Bertrand 10 Mei, Ming 10 Pareschi, Lorenzo 10 Romano, Vittorio 10 Wang, Li 9 Bisi, Marzia 9 Filbet, Francis 9 Li, Qin 9 Majorana, Armando 9 Qiu, Jingmei 9 Zhang, Guojing 8 Bobylev, Alexandre Vasiljévitch 8 Jin, Shi 8 Velázquez, Juan J. L. 7 Ben Abdallah, Naoufel 7 Cai, Zhenning 7 Christlieb, Andrew J. 7 Haack, Jeffrey R. 7 Li, Hailiang 7 Schürrer, Ferdinand 7 Spiga, Giampiero 6 Bae, Myoungjean 6 Cáceres, María-José 6 Guo, Boling 6 Guo, Wei 6 Ha, Seung-Yeal 6 Jang, Jin Woo 6 Li, Ruo 6 Loubère, Raphaël 6 Merino-Aceituno, Sara 6 Negulescu, Claudia 6 Pavlović, Nataša 6 Ren, Kui 6 Russo, Giovanni 6 Strain, Robert M. 6 Wang, Guangwu 6 Yang, Jianwei 5 Alekseenko, Alexander M. 5 Bassetti, Federico 5 Cai, Xiaofeng 5 Crouseilles, Nicolas 5 Laurençot, Philippe 5 Nastasi, Giovanni 5 Nota, Alessia 5 Taskovic, Maja 5 Wagner, Wolfgang 4 Asadzadeh, Mohammad Sina 4 Bagland, Véronique 4 Bostan, Mihai 4 Briant, Marc 4 Cañizo, José Alfredo 4 Cercignani, Carlo 4 Chen, Gui-Qiang G. 4 Diez, Antoine 4 Dong, Jianwei 4 Fournier, Nicolas 4 Galler, Martin 4 Goudon, Thierry 4 Guo, Yan 4 Hsiao, Ling 4 Hu, Zhicheng 4 Huang, Feimin 4 Hwang, Hyung Ju 4 Jaiswal, Shashank 4 Jerome, Joseph W. 4 Ju, Qiangchang 4 Liu, Liu 4 Liu, Yunxian 4 Lu, Tiao 4 Markowich, Peter Alexander 4 Ni, Guoxi 4 Pinaud, Olivier 4 Reese, Jason M. 4 Rey, Thomas 4 Rjasanow, Sergej 4 Sadr, Mohsen 4 Sarna, Neeraj 4 Soler, Juan S. 4 Standar, Christoffer 4 Tan, Zhong 4 Tran, Minh-Binh 4 Vasseur, Alexis F. 4 Wang, Shu 4 Wang, Yong ...and 751 more Authors all top 5 Cited in 130 Serials 117 Journal of Computational Physics 59 Journal of Statistical Physics 29 Journal of Differential Equations 27 Kinetic and Related Models 25 Journal of Mathematical Analysis and Applications 22 Archive for Rational Mechanics and Analysis 22 Communications in Mathematical Physics 21 Journal of Scientific Computing 21 SIAM Journal on Scientific Computing 16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 16 SIAM Journal on Mathematical Analysis 14 Journal of Mathematical Physics 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Computer Methods in Applied Mechanics and Engineering 10 Transport Theory and Statistical Physics 10 Applied Mathematics Letters 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 SIAM Journal on Numerical Analysis 9 Multiscale Modeling & Simulation 8 Nonlinear Analysis. Real World Applications 7 Computers and Fluids 7 Mathematics of Computation 7 Physica D 7 Discrete and Continuous Dynamical Systems 7 Communications in Computational Physics 6 Applied Numerical Mathematics 6 Communications in Partial Differential Equations 5 Computers & Mathematics with Applications 5 Advances in Mathematics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Hyperbolic Differential Equations 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Inverse Problems 4 Journal of Fluid Mechanics 4 Mathematical Methods in the Applied Sciences 4 Journal of Functional Analysis 4 Quarterly of Applied Mathematics 4 Acta Applicandae Mathematicae 4 COMPEL 4 SIAM Journal on Applied Mathematics 4 Communications on Pure and Applied Analysis 3 Journal of Computational and Applied Mathematics 3 Mathematical and Computer Modelling 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Stochastic Processes and their Applications 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Journal of Statistical Mechanics: Theory and Experiment 3 Networks and Heterogeneous Media 3 Science China. Mathematics 3 Annals of PDE 3 Journal of Computational and Theoretical Transport 2 Applicable Analysis 2 Nonlinearity 2 Physica A 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Inventiones Mathematicae 2 Ricerche di Matematica 2 Acta Mathematicae Applicatae Sinica. English Series 2 Probability Theory and Related Fields 2 Science in China. Series A 2 The Annals of Applied Probability 2 Bulletin of the American Mathematical Society. New Series 2 Continuum Mechanics and Thermodynamics 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 Communications in Nonlinear Science and Numerical Simulation 2 Communications in Contemporary Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Acta Numerica 2 Discrete and Continuous Dynamical Systems. Series S 2 Nonlinear Analysis. Theory, Methods & Applications 2 Communications on Applied Mathematics and Computation 1 Communications on Pure and Applied Mathematics 1 Theoretical and Mathematical Physics 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Journal of Philosophical Logic 1 Monatshefte für Mathematik 1 SIAM Journal on Control and Optimization 1 Synthese 1 Theory and Decision 1 Zeitschrift für Analysis und ihre Anwendungen 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Boletim da Sociedade Brasileira de Matemática. Nova Série ...and 30 more Serials all top 5 Cited in 40 Fields 451 Partial differential equations (35-XX) 388 Statistical mechanics, structure of matter (82-XX) 342 Fluid mechanics (76-XX) 223 Numerical analysis (65-XX) 46 Optics, electromagnetic theory (78-XX) 33 Integral equations (45-XX) 30 Probability theory and stochastic processes (60-XX) 22 Quantum theory (81-XX) 20 Biology and other natural sciences (92-XX) 14 Ordinary differential equations (34-XX) 13 Operator theory (47-XX) 13 Mechanics of deformable solids (74-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Astronomy and astrophysics (85-XX) 5 Real functions (26-XX) 5 Special functions (33-XX) 5 Mechanics of particles and systems (70-XX) 5 Operations research, mathematical programming (90-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Statistics (62-XX) 4 Relativity and gravitational theory (83-XX) 4 Information and communication theory, circuits (94-XX) 3 Approximations and expansions (41-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-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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