Asymptotic behavior of the plasma equation with homogeneous dirichlet boundary condition and non-negative initial data

Abstract

We study the asymptotic behaviour of the plasma equation at its extinction time (The first time T' after which the solution vanishes). We establish the Berryman-Holland result [3] for weak solutions of the equation eliminating the strong regularity assumptions of [3]

Keywords:

• Asymptotic
• Dirichlet boundary condition
• initial data
• plasma equation

AMS(MOS)::

• 35B40
• 35K55
• 35K65