Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-26T19:16:36.944Z Has data issue: false hasContentIssue false
  • English
  • Français

Well-posedness for the spatially homogeneous Landau–Fermi–Dirac equation for hard potentials

Published online by Cambridge University Press:  12 July 2007

Véronique Bagland
Véronique Bagland
Affiliation:
Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier–Toulouse 3, 118 route de Narbonne, F-31062 Toulouse Cedex 4, France (bagland@mip.ups-tlse.fr)
Get access Rights & Permissions [Opens in a new window]

Abstract

We study the Cauchy problem for the spatially homogeneous Landau equation for Fermi–Dirac particles, in the case of hard and Maxwellian potentials. We establish existence and uniqueness of a weak solution for a large class of initial data.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 3 , June 2004 , pp. 415 - 447
Copyright
Copyright © Royal Society of Edinburgh 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)