# zbMATH — the first resource for mathematics

## Gualdani, Maria Pia

Compute Distance To:
 Author ID: gualdani.maria-pia Published as: Gualdani, Maria Pia; Gualdani, Maria; Gualdani, M. P.; Gualdani, Maria P.; Gualdini, Maria Pia; Gualdani, M. Homepage: https://web.ma.utexas.edu/users/gualdani/ External Links: MGP · Google Scholar · ResearchGate · dblp
 Documents Indexed: 27 Publications since 2003
all top 5

#### Co-Authors

 2 single-authored 7 González, María del Mar 6 Zamponi, Nicola 4 Carrillo de la Plata, José Antonio 4 Martínez Gamba, Irene 3 Jüngel, Ansgar 2 Daus, Esther S. 2 Guillen, Nestor 2 Mouhot, Clément 2 Sparber, Christof 2 Toscani, Giuseppe 1 Arnold, Anton 1 Caffarelli, Luis Ángel 1 Chayes, Lincoln 1 Di Francesco, Marco 1 Kim, Inwon Christina 1 Mischler, Stéphane 1 Schonbek, Maria Elena 1 Shahgholian, Henrik 1 Sharp, Richard W. 1 Solà-Morales, Joan 1 Xu, Jingjing 1 Zhang, Ping 1 Zhang, Xinyu
all top 5

#### Serials

 3 SIAM Journal on Mathematical Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Applicandae Mathematicae 2 Communications in Partial Differential Equations 2 Communications in Mathematical Sciences 1 Applied Mathematics and Optimization 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Applied Mathematics Letters 1 Publicacions Matemàtiques 1 European Journal of Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Calculus of Variations and Partial Differential Equations 1 Bulletin des Sciences Mathématiques 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Kinetic and Related Models 1 Analysis & PDE
all top 5

#### Fields

 26 Partial differential equations (35-XX) 7 Fluid mechanics (76-XX) 7 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 205 times in 165 Documents Cited by Year
Factorization of non-symmetric operators and exponential $$H$$-theorem. Zbl 06889665
Gualdani, M. P.; Mouhot, C.
2017
Analysis of the viscous quantum hydrodynamic equations for semiconductors. Zbl 1076.82049
Gualdini, Maria Pia; Jüngel, Ansgar
2004
Classical solutions for a nonlinear Fokker-Planck equation arising in computational neuroscience. Zbl 1282.35382
Carrillo, José A.; González, María D. M.; Gualdani, Maria P.; Schonbek, Maria E.
2013
Exponential decay in time of solutions of the viscous quantum hydrodynamic equations. Zbl 1042.82047
Gualdani, M. P.; Jüngel, A.; Toscani, G.
2003
Finite speed of propagation in porous media by mass transportation methods. Zbl 1049.35110
Carrillo, José Antonio; Gualdani, Maria Pia; Toscani, Giuseppe
2004
Global existence and uniqueness of solutions to a model of price formation. Zbl 1228.35007
Chayes, Lincoln; Del Mar González, María; Gualdani, Maria Pia; Kim, Inwon
2009
Estimates for radial solutions of the homogeneous Landau equation with Coulomb potential. Zbl 1378.35325
Gualdani, Maria; Guillen, Nestor
2016
A nonlinear fourth-order parabolic equation with nonhomogeneous boundary conditions. Zbl 1102.35045
Gualdani, Maria Pia
2006
On the blowing up of solutions to quantum hydrodynamic models on bounded domains. Zbl 1173.35106
Gamba, Irene M.; Gualdani, Maria Pia; Zhang, Ping
2009
Asymptotics for a free boundary model in price formation. Zbl 1215.35173
González, María del Mar; Gualdani, Maria Pia
2011
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
2012
Asymptotics for a symmetric equation in price formation. Zbl 1175.91067
González, María del Mar; Gualdani, Maria Pia
2009
An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation. Zbl 1185.65180
Gamba, Irene M.; Gualdani, Maria Pia; Sharp, Richard W.
2009
On $$A_p$$ weights and the Landau equation. Zbl 1404.35078
Gualdani, Maria; Guillen, Nestor
2019
Convergence of an entropic semi-discretization for nonlinear Fokker-Planck equations in $$\mathbb R^d$$. Zbl 1152.35317
Carrillo, J. A.; Gualdani, M. P.; Jüngel, A.
2008
Semidiscretization and long-time asymptotics of nonlinear diffusion equations. Zbl 1145.35028
Carrillo, José A.; di Francesco, Marco; Gualdani, Maria P.
2007
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
2009
A discrete Bernoulli free boundary problem. Zbl 1333.35352
del Mar Gonzalez, M.; Gualdani, M.; Shahgholian, H.
2014
Longtime behavior and weak-strong uniqueness for a nonlocal porous media equation. Zbl 1427.35113
Daus, Esther S.; Gualdani, Maria; Zamponi, Nicola
2020
Some non-standard Sobolev spaces, interpolation and its application to PDE. Zbl 1257.35108
González, María del Mar; Gualdani, Maria Pia
2012
Instability and bifurcation in a trend depending price formation model. Zbl 1345.35141
González, María del Mar; Gualdani, Maria Pia; Solà-Morales, Joan
2016
Existence of weak solutions to a continuity equation with space time nonlocal Darcy law. Zbl 1459.35233
Caffarelli, Luis; Gualdani, Maria; Zamponi, Nicola
2020
Longtime behavior and weak-strong uniqueness for a nonlocal porous media equation. Zbl 1427.35113
Daus, Esther S.; Gualdani, Maria; Zamponi, Nicola
2020
Existence of weak solutions to a continuity equation with space time nonlocal Darcy law. Zbl 1459.35233
Caffarelli, Luis; Gualdani, Maria; Zamponi, Nicola
2020
On $$A_p$$ weights and the Landau equation. Zbl 1404.35078
Gualdani, Maria; Guillen, Nestor
2019
Factorization of non-symmetric operators and exponential $$H$$-theorem. Zbl 06889665
Gualdani, M. P.; Mouhot, C.
2017
Estimates for radial solutions of the homogeneous Landau equation with Coulomb potential. Zbl 1378.35325
Gualdani, Maria; Guillen, Nestor
2016
Instability and bifurcation in a trend depending price formation model. Zbl 1345.35141
González, María del Mar; Gualdani, Maria Pia; Solà-Morales, Joan
2016
A discrete Bernoulli free boundary problem. Zbl 1333.35352
del Mar Gonzalez, M.; Gualdani, M.; Shahgholian, H.
2014
Classical solutions for a nonlinear Fokker-Planck equation arising in computational neuroscience. Zbl 1282.35382
Carrillo, José A.; González, María D. M.; Gualdani, Maria P.; Schonbek, Maria E.
2013
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
2012
Some non-standard Sobolev spaces, interpolation and its application to PDE. Zbl 1257.35108
González, María del Mar; Gualdani, Maria Pia
2012
Asymptotics for a free boundary model in price formation. Zbl 1215.35173
González, María del Mar; Gualdani, Maria Pia
2011
Global existence and uniqueness of solutions to a model of price formation. Zbl 1228.35007
Chayes, Lincoln; Del Mar González, María; Gualdani, Maria Pia; Kim, Inwon
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
2009
Asymptotics for a symmetric equation in price formation. Zbl 1175.91067
González, María del Mar; Gualdani, Maria Pia
2009
An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation. Zbl 1185.65180
Gamba, Irene M.; Gualdani, Maria Pia; Sharp, Richard W.
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
2009
Convergence of an entropic semi-discretization for nonlinear Fokker-Planck equations in $$\mathbb R^d$$. Zbl 1152.35317
Carrillo, J. A.; Gualdani, M. P.; Jüngel, A.
2008
Semidiscretization and long-time asymptotics of nonlinear diffusion equations. Zbl 1145.35028
Carrillo, José A.; di Francesco, Marco; Gualdani, Maria P.
2007
A nonlinear fourth-order parabolic equation with nonhomogeneous boundary conditions. Zbl 1102.35045
Gualdani, Maria Pia
2006
Analysis of the viscous quantum hydrodynamic equations for semiconductors. Zbl 1076.82049
Gualdini, Maria Pia; Jüngel, Ansgar
2004
Finite speed of propagation in porous media by mass transportation methods. Zbl 1049.35110
Carrillo, José Antonio; Gualdani, Maria Pia; Toscani, Giuseppe
2004
Exponential decay in time of solutions of the viscous quantum hydrodynamic equations. Zbl 1042.82047
Gualdani, M. P.; Jüngel, A.; Toscani, G.
2003
all top 5

#### Cited by 228 Authors

 11 Gualdani, Maria Pia 9 Carrillo de la Plata, José Antonio 7 Mischler, Stéphane 6 Cáceres, María-José 6 López, José Luis 5 Carrapatoso, Kleber 5 Chen, Li 5 Dong, Jianwei 5 Dreher, Michael 5 González, María del Mar 4 Caffarelli, Luis Ángel 4 Guo, Boling 4 Jüngel, Ansgar 4 Markowich, Peter Alexander 4 Tanré, Etienne 4 Tristani, Isabelle 4 Wang, Guangwu 4 Wu, Kung-Chien 4 Yang, Jianwei 4 Zamponi, Nicola 3 Cañizo, José Alfredo 3 Chen, Xiuqing 3 Delarue, François 3 Duan, Renjun 3 Dumont, Grégory 3 Inglis, James D. 3 Lods, Bertrand 3 Perthame, Benoît 3 Schneider, Ricarda 3 Toscani, Giuseppe 3 Wagner, Wolfgang 3 Wolfram, Marie-Therese 3 Zhu, Junhui 2 Alonso, Ricardo J. 2 Bagland, Véronique 2 Briant, Marc 2 Burger, Martin 2 Ciraolo, Giulio 2 Di Francesco, Marco 2 Evans, Josephine 2 Martínez Gamba, Irene 2 Henry, Jacques 2 Hwang, Hyung Ju 2 Imbert, Cyril 2 Jang, Jin Woo 2 Ju, Qiangchang 2 Lafleche, Laurent 2 Lattanzio, Corrado 2 Ledger, Sean 2 Li, Fucai 2 Liang, Bo 2 Lin, Yu-Chu 2 Lou, Guangpu 2 Magnanini, Rolando 2 Matthes, Daniel 2 Montejo-Gámez, Jesús 2 Mouhot, Clément 2 Muscato, Orazio 2 Nieto, Juanjo 2 Osberger, Horst 2 Pietschmann, Jan-Frederik 2 Rubenthaler, Sylvain 2 Salort, Delphine 2 Schnur, Johannes 2 Shahgholian, Henrik 2 Silvestre, Luis E. 2 Snelson, Stanley 2 Søjmark, Andreas 2 Soler, Juan S. 2 Strain, Robert M. 2 Sun, Baoyan 2 Tang, Tong 2 Tarniceriu, Carmen Oana 2 Wang, Yong 2 Yang, Tong 2 Yang, Yong 2 Zhao, Huijiang 1 Abdallah, Mohamed Ahmed 1 Abedin, Farhan 1 Amster, Pablo 1 Antonelli, Paolo 1 Arnold, Anton 1 Bae, Hantaek 1 Balagué, Daniel 1 Bansil, Mohit 1 Bouin, Emeric 1 Calvez, Vincent 1 Cao, Chuqi 1 Cao, Yunbai 1 Carnevale, Giada Cianfarani 1 Chen, Jingrun 1 Cheng, Ming 1 Chevallier, Julien 1 Choi, Young-Pil 1 Cont, Rama 1 Cormier, Quentin 1 Daus, Esther S. 1 Deng, Chubo 1 Desvillettes, Laurent 1 Di Michele, Federica ...and 128 more Authors
all top 5

#### Cited in 75 Serials

 10 Kinetic and Related Models 9 Archive for Rational Mechanics and Analysis 8 SIAM Journal on Mathematical Analysis 7 Journal of Differential Equations 6 Journal of Mathematical Analysis and Applications 6 Journal of Statistical Physics 6 Communications in Partial Differential Equations 5 Acta Applicandae Mathematicae 4 Journal of Mathematical Physics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Multiscale Modeling & Simulation 3 Communications in Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Monatshefte für Mathematik 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Discrete and Continuous Dynamical Systems 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Applicable Analysis 2 Journal of Computational Physics 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Physica D 2 Applied Numerical Mathematics 2 The Annals of Applied Probability 2 Stochastic Processes and their Applications 2 NoDEA. Nonlinear Differential Equations and Applications 2 Bulletin des Sciences Mathématiques 2 Journal de l’École Polytechnique – Mathématiques 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Nonlinearity 1 Theoretical and Mathematical Physics 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Chinese Annals of Mathematics. Series B 1 International Journal of Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 St. Petersburg Mathematical Journal 1 Computational and Applied Mathematics 1 Electronic Journal of Probability 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Theoretical and Applied Finance 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Foundations of Computational Mathematics 1 Complex Variables and Elliptic Equations 1 Frontiers of Mathematics in China 1 Mathematical Modelling of Natural Phenomena 1 SIAM Journal on Financial Mathematics 1 The Journal of Mathematical Neuroscience 1 Journal of Theoretical Biology 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 EMS Surveys in Mathematical Sciences 1 Annals of PDE 1 Séminaire Laurent Schwartz. EDP et Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Annales Henri Lebesgue
all top 5

#### Cited in 23 Fields

 139 Partial differential equations (35-XX) 61 Statistical mechanics, structure of matter (82-XX) 44 Fluid mechanics (76-XX) 18 Biology and other natural sciences (92-XX) 17 Operator theory (47-XX) 15 Probability theory and stochastic processes (60-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Numerical analysis (65-XX) 10 Quantum theory (81-XX) 8 Ordinary differential equations (34-XX) 6 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Relativity and gravitational theory (83-XX)