On the Cauchy problem with large data for a space-dependent Boltzmann–Nordheim boson equation - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Communications in Mathematical Sciences Année : 2017

On the Cauchy problem with large data for a space-dependent Boltzmann–Nordheim boson equation

Résumé

This paper studies a Boltzmann-Nordheim equation in a slab with two-dimensional velocity space and pseudo-Maxwellian forces. Strong solutions are obtained for the Cauchy problem with large initial data in an $ L^1 \cap L^{\infty} $ setting. The main results are existence, uniqueness, and stability of solutions conserving mass, momentum, and energy. The solutions either explode in the $ L^\infty$-norm in finite time, or exist globally in time. They are obtained as limits of solutions to corresponding anyon equations.

Dates et versions

hal-01579351 , version 2 (31-08-2017)
hal-01579351 , version 1 (31-08-2017)

Identifiants

Citer

Leif Arkeryd, Anne Nouri. On the Cauchy problem with large data for a space-dependent Boltzmann–Nordheim boson equation. Communications in Mathematical Sciences, 2017, 15 (5), pp.1247 - 1264. ⟨10.4310/CMS.2017.v15.n5.a4⟩. ⟨hal-01579351v2⟩
145 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More