Blow-up of ion-sound waves in plasma with non-linear sources on the boundary
type: Item
instance of: scholarly article
title: Blow-up of ion-sound waves in plasma with non-linear sources on the boundary
zbMATH Open document ID: 1248.35026
author: M. O. Korpusov
published in: Izvestiya: Mathematics
publication date: 2012-06-08T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 82D10
zbMATH DE Number: 6043633
zbMATH Keywords: Sobolev equations
zbMATH Keywords: nonlinear boundary conditions
zbMATH Keywords: energy method
MaRDI profile type: Publication
DOI: 10.1070/IM2012V076N02ABEH002584
review text: This paper considers a model problem for the linear equations of ion-sound waves in plasma occupying a bounded domain where the boundary is a smooth manifold. It is supposed that the boundary carries nonlinear sources localized on some part of the boundary. The main objective of the paper is to derive sufficient conditions for the blow-up of the weak generalized solution of the governing system of equations using the energy method.
description: scientific article; zbMATH DE number 6043633