Dario Benedetto, Mario Pulvirenti (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider a Boltzmann equation for inelastic particles on the line and prove existence and uniqueness for the solutions.
Carlo Cercignani (2007)
Bollettino dell'Unione Matematica Italiana
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The paper is subdivided into two parts. The first presents a recent result by the author concerning the existence of the solution of the Boltzmann equation for Maxwell molecules, without any cutoff in the collision kernel, when the solution depends on just one variable. At variance with the well-known theorem of DiPerna- Lions, conservation of energy is also shown to hold. The second part will concern rarefied gas dynamics problems, governed by the Boltzmann equation and con- cerning...
Mario Pulvirenti (1999)
Journées équations aux dérivées partielles
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In this lecture i present some open mathematical problems concerning some PDE arising in the study of one-dimensional models for granular media.
Dolan, P., Zenios, A.C. (1984)
International Journal of Mathematics and Mathematical Sciences
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Yakov P. Terletsky (1964)
Annales de l'I.H.P. Physique théorique
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Yaremko, Yurij (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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P. Žáček, Vladimír Vanýsek (1981)
Acta Universitatis Carolinae. Mathematica et Physica
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