The Cauchy problem for the Vlasov-Maxwell equations
Glassey, Robert T., Schaeffer, Jack (1989)
Portugaliae mathematica
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Glassey, Robert T., Schaeffer, Jack (1989)
Portugaliae mathematica
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Pierre-Emmanuel Jabin, Benoît Perthame (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We present a new class of averaging lemmas directly motivated by the question of regularity for different nonlinear equations or variational problems which admit a kinetic formulation. In particular they improve the known regularity for systems like in isentropic gas dynamics or in some variational problems arising in thin micromagnetic films. They also allow to obtain directly the best known regularizing effect in multidimensional scalar conservation laws. The new ingredient here...
Eric A. Carlen, José A. Carrillo, Maria C. Carvalho (2009)
Annales de l'I.H.P. Analyse non linéaire
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Didier Bresch, Benoît Desjardins, Bernard Ducomet (2005)
Annales de l'I.H.P. Analyse non linéaire
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Mario Pulvirenti (1999)
Journées équations aux dérivées partielles
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In this lecture i present some open mathematical problems concerning some PDE arising in the study of one-dimensional models for granular media.
Nikolaos Bournaveas, Vincent Calvez (2009)
Annales de l'I.H.P. Analyse non linéaire
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