Hostname: page-component-7b9c58cd5d-sk4tg Total loading time: 0 Render date: 2025-03-15T16:44:23.846Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  12 July 2007

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)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Copyright
Copyright © Royal Society of Edinburgh 2004