Asymptotic Behaviour of the Plasma Equation.
Abstract
This paper is concerned with a plasma equation. It is known that there exists a finite extinction time T* such that the solution decays to zero at T*. Recently, Berryman and Holland investigated the stability of the profile of the solution as t approaches limit of T*. However, they obtained their results at the expense of some very strong regularity assumptions. This paper, proves the same kind of results without those strong regularity assumptions. By invoking both the nonlinear semi-group theory and a standard regularizing scheme for the equation, the author measures rate of decay of the solution and obtains estimates on the time derivative as t infinity T*. As motivated by the regularity assumptions, both the interior and boundary regularities of the solution are studied. Finally, he perturbs the nonlinearity of the plasma equation and studies the same aspects for the perturbed equation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1984
- Accession Number
- ADA147242
Entities
People
- Y. C. Kwong
Organizations
- University of Wisconsin–Madison