Article ID Journal Published Year Pages File Type
4590443 Journal of Functional Analysis 2013 30 Pages PDF
Abstract

This study deals with the generalized Zakharov system with magnetic field. First of all, we construct a kind of blow-up solutions and establish the existence of blow-up solutions to the system through considering an elliptic system. Next, we show the nonlinear instability for a kind of periodic solutions. In addition, we consider the concentration properties of blow-up solutions for the system under study. At the end of this paper, we establish the global existence of weak solutions to the Cauchy problem of the system under consideration.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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