Solutions globales du problème de Cauchy pour l'équation de Boltzmann
Patrick Gérard (1987/1988)
Séminaire Bourbaki
Giovanni Naldi, Lorenzo Pareschi, Giuseppe Toscani (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
In this paper we introduce numerical schemes for a one-dimensional kinetic model of the Boltzmann equation with dissipative collisions and variable coefficient of restitution. In particular, we study the numerical passage of the Boltzmann equation with singular kernel to nonlinear friction equations in the so-called quasi elastic limit. To this aim we introduce a Fourier spectral method for the Boltzmann equation [25, 26] and show that the kernel modes that define the spectral method have the correct...
Giovanni Naldi, Lorenzo Pareschi, Giuseppe Toscani (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
In this paper we introduce numerical schemes for a one-dimensional kinetic model of the Boltzmann equation with dissipative collisions and variable coefficient of restitution. In particular, we study the numerical passage of the Boltzmann equation with singular kernel to nonlinear friction equations in the so-called quasi elastic limit. To this aim we introduce a Fourier spectral method for the Boltzmann equation [CITE] and show that the kernel modes that define the spectral method have the correct...
K. Voronjec (1971)
Publications de l'Institut Mathématique [Elektronische Ressource]
Laurent Desvillettes (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Taranov, Volodymyr B. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Leif Arkeryd (1989)
Journées équations aux dérivées partielles
Nevena D. Stevanović, Vladan D. Djordjević (2012)
Publications de l'Institut Mathématique
G. Toscani (1998)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Jan Kyncl (1981)
Aplikace matematiky
Kleber Carrapatoso (2014/2015)
Séminaire Laurent Schwartz — EDP et applications
I present in this note recent results on the uniqueness and stability for the parabolic-parabolic Keller-Segel equation on the plane, obtained in collaboration with S. Mischler in [11].
F. Nicolò, J. Renn, A. Steinmann (1986)
Annales de l'I.H.P. Physique théorique
Leif Arkeryd, Anne Nouri (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
An -existence theorem is proved for the nonlinear stationary Boltzmann equation for soft and hard forces in with given indata on the boundary, when the collision operator is truncated for small velocities.
Leif Arkeryd, Anne Nouri (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
D. Serero, S. H. Noskowicz, I. Goldhirsch (2010)
Mathematical Modelling of Natural Phenomena
A computer-aided method for accurately carrying out the Chapman-Enskog expansion of the Boltzmann equation, including its inelastic variant, is presented and employed to derive a hydrodynamic description of a dilute binary mixture of smooth inelastic spheres. Constitutive relations, formally valid for all physical values of the coefficients of restitution, are calculated by carrying out the pertinent Chapman-Enskog expansion to sufficient high orders in the Sonine polynomials to ensure numerical...
Abourabia, A.M., Mahmoud, M.A., Kareem, W.S.Abdel (2002)
Journal of Applied Mathematics
В.Р. Кирейтов (1998)
Sibirskij matematiceskij zurnal
А Сакабеков (1991)
Sibirskij matematiceskij zurnal
А. Сакабеков (1991)
Sibirskij matematiceskij zurnal
Г.А. Михайлов (1979)
Sibirskij matematiceskij zurnal