Hydrodynamic limits : some improvements of the relative entropy method
Laure Saint-Raymond (2009)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “On the one-dimensional Boltzmann equation for granular flows”
Hydrodynamic limits : some improvements of the relative entropy method
The Boltzmann-Enskog equation with large data; wellposedness and regularity
Leif Arkeryd (1989)
Journées équations aux dérivées partielles
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Weak solutions to the one-dimensional non-isentropic gas dynamics by the vanishing viscosity method.
Ito, Kazufumi (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations
Gui-Qiang Chen, Benoît Perthame (2003)
Annales de l'I.H.P. Analyse non linéaire
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Kinetic approach to systems of conservation laws
Benoît Perthame (1992)
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Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics
Marzia Bisi, Laurent Desvillettes, Giampiero Spiga (2009)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We show that the entropy method, that has been used successfully in order to prove exponential convergence towards equilibrium with explicit constants in many contexts, among which reaction-diffusion systems coming out of reversible chemistry, can also be used when one considers a reaction-diffusion system corresponding to an irreversible mechanism of dissociation/recombination, for which no natural entropy is available.
High-electric-field limit for the Vlasov–Maxwell–Fokker–Planck system
Mihai Bostan, Thierry Goudon (2008)
Annales de l'I.H.P. Analyse non linéaire
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