Large time behavior for nonlinear higher order convection–diffusion equations
Mahmoud Qafsaoui (2006)
Annales de l'I.H.P. Analyse non linéaire
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Mahmoud Qafsaoui (2006)
Annales de l'I.H.P. Analyse non linéaire
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Barza, Sorina, Johansson, Maria, Persson, Lars-Erik (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Salvatore A. Marano (1992)
Annales Polonici Mathematici
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Kechriniotis, Aristides I. (2008)
Applied Mathematics E-Notes [electronic only]
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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.
Anne-Laure Dalibard (2006)
Annales de l'I.H.P. Analyse non linéaire
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