Kinetic formulation for heterogeneous scalar conservation laws
Anne-Laure Dalibard (2006)
Annales de l'I.H.P. Analyse non linéaire
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Anne-Laure Dalibard (2006)
Annales de l'I.H.P. Analyse non linéaire
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Patrizia Pucci, Raffaella Servadei (2008)
Annales de l'I.H.P. Analyse non linéaire
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Pavel Krejčí, Lucia Panizzi (2011)
Applications of Mathematics
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Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, and continuous data dependence of solutions to a coupled parabolic system in a smooth bounded 3D domain, with nonlinear and nonhomogeneous boundary conditions. The nonlinear coupling takes place in the diffusion coefficient. The proofs are based on anisotropic estimates in tangential and normal directions, and on a refined variant of the Gronwall lemma.
Simon Haller, Günther Hörmann (2008)
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Hofmann, Steve, Lewis, John L., Nyström, Kaj (2003)
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N. Ghoussoub, X. S. Kang (2004)
Annales de l'I.H.P. Analyse non linéaire
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