Lipschitz regularity and approximate differentiability of the Diperna-Lions flow
Luigi Ambrosio, Myriam Lecumberry, Stefania Maniglia (2005)
Rendiconti del Seminario Matematico della Università di Padova
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Luigi Ambrosio, Myriam Lecumberry, Stefania Maniglia (2005)
Rendiconti del Seminario Matematico della Università di Padova
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Sébastien Novo, Antonín Novotný, Milan Pokorný (2001)
Rendiconti del Seminario Matematico della Università di Padova
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Luigi Ambrosio (2004)
Journées Équations aux dérivées partielles
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Jesús Ildefonso Díaz, Juan Francisco Padial (1996)
Publicacions Matemàtiques
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In this paper we present some results on the uniqueness and existence of a class of weak solutions (the so called BV solutions) of the Cauchy-Dirichlet problem associated to the doubly nonlinear diffusion equation b(u)t - div (|∇u - k(b(u))e|p-2 (∇u - k(b(u))e)) + g(x,u) = f(t,x). This problem arises in the study of some turbulent regimes: flows of incompressible turbulent fluids through porous media, gases flowing in pipelines,...
Alberto Bressan (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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This note is concerned with the Cauchy problem for hyperbolic systems of conservation laws in several space dimensions. We first discuss an example of ill-posedness, for a special system having a radial symmetry property. Some conjectures are formulated, on the compactness of the set of flow maps generated by vector fields with bounded variation.
Song Jiang (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Busuioc, V. (2002)
Portugaliae Mathematica. Nova Série
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