A Glimm type functional for a special Jin–Xin relaxation model
Stefano Bianchini (2001)
Annales de l'I.H.P. Analyse non linéaire
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Stefano Bianchini (2001)
Annales de l'I.H.P. Analyse non linéaire
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N. Cancrini, F. Martinelli, C. Roberto (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Amine Asselah, Paolo Dai Pra (1997)
Annales de l'I.H.P. Probabilités et statistiques
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P. Gonçalves, C. Landim, C. Toninelli (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We study the hydrodynamic limit for some conservative particle systems with degenerate rates, namely with nearest neighbor exchange rates which vanish for certain configurations. These models belong to the class of (KCLG) which have been introduced and intensively studied in physical literature as simple models for the liquid/glass transition. Due to the degeneracy of rates there exist which do not evolve under the dynamics and in general the hyperplanes of configurations with a fixed...
Pierre Louis Lions, Giuseppe Toscani (1997)
Revista Matemática Iberoamericana
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We investigate, in the diffusive scaling, the limit to the macroscopic description of finite-velocity Boltzmann kinetic models, where the rate coefficient in front of the collision operator is assumed to be dependent of the mass density. It is shown that in the limit the flux vanishes, while the evolution of the mass density is governed by a nonlinear parabolic equation of porous medium type. In the last part of the paper we show that our method adapts to prove the so-called Rosseland...
F Berthelin, F Bouchut (2003)
Annales de l'I.H.P. Analyse non linéaire
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