RESEARCH ANNOUNCEMENTS Initial Boundary Value Problem for a Two-dimensional Generalized Zakharov Equations

0 Introduetion The Zakharov system,describing the coupling between Langmuir and ion-acoustic waves,is one of the basic plasma models.This system     

Langmuir扰动方程和Zakharov方程:光滑性与近似

考虑了一类带参数H,用于描述Langmuir扰动的方程.研究了当参数H趋于0时,这一类扰动方程的渐近行为.通过建立一个弱收敛结果和一个强收敛结果,得到了这类扰动方程初值问题的解(EH,nH)收敛到Zakharov方程初值问题的解(E,n)的结论.     

Equations of Langmuir turbulence and Zakharov equations: smoothness and approximation

A family of systems parameterized by H > 0,which describes the Langmuir turbulence,is considered.The asymptotic behavior of the solutions(E H,n H) when H goes to zero is studied.The results of convergence of(E H,n H) to the couple(E,n) which is the solution to the Zakharov equations are stated.     

INITIAL BOUNDARY VALUE PROBLEM FOR MODIFIED ZAKHAROV EQUATIONS

In this paper the authors consider the existence and uniqueness of the solution to the initial boundary value problem for a class of modified Zakharov equations, prove the global existence of the solution to the problem by a priori integral estimates and Galerkin method.