On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient.
Karlsen, Kenneth H., Risebro, Nils H., Towers, John D. (2002)
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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Neves, Wladimir, Serre, Denis (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bougoffa, Lazhar, Moula, Mohamed Said (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Alberto Bressan (2002)
Journées équations aux dérivées partielles
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This paper provides a survey of recent results concerning the stability and convergence of viscous approximations, for a strictly hyperbolic system of conservation laws in one space dimension. In the case of initial data with small total variation, the vanishing viscosity limit is well defined. It yields the unique entropy weak solution to the corresponding hyperbolic system.
Akhmetov, Denis R., Lavrentiev, Mikhail M.jun., Spigler, Renato (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Benzoni-Gavage, Sylvie, Danchin, Raphaël, Descombes, Stéphane (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cardetti, Fabiana, Choi, Yung-Sze (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Mitrovic, Darko, Susic, Jela (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Colli, Pierluigi, Grasselli, Maurizio, Ito, Akio (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Han, Jianlong (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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El Hachimi, Abderrahmane, El Ouardi, Hamid (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Joseph, Kayyunnapara Thomas (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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