Renormalized entropy solutions for degenerate nonlinear evolution problems.
Ammar, Kaouther (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ammar, Kaouther (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ammar, Kaouther, Redwane, Hicham (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ouaro, Stanislas, Toure, Hamidou (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Eymard, R., Gallouët, T., Herbin, R.
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Mostafa Bendahmane, Mazen Saad (2005)
Revista Matemática Complutense
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In this paper, we study the question of existence and uniqueness of entropy solutions for a system of nonlinear partial differential equations with general anisotropic diffusivity and transport effects, supplemented with no-flux boundary conditions, modeling the spread of an epidemic disease through a heterogeneous habitat.
Hoel, Hakon A. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Petitta, Francesco (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Karlsen, Kenneth H., Risebro, Nils H., Towers, John D. (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Jan Goncerzewicz, Danielle Hilhorst (2000)
Banach Center Publications
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% We study the large time behaviour of entropy solutions of the Cauchy problem for a possibly degenerate nonlinear diffusion equation with a nonlinear convection term. The initial function is assumed to have bounded total variation. We prove the convergence of the solution to the entropy solution of a Riemann problem for the corresponding first order conservation law.