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 probl...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.展开更多
A family of systems parameterized by H 〉 0, which describes the Langmuir turbulence, is considered. The asymptotic behavior of the solutions (E^H, nH) when H goes to zero is studied. The results of convergence of ...A family of systems parameterized by H 〉 0, which describes the Langmuir turbulence, is considered. The asymptotic behavior of the solutions (E^H, nH) when H goes to zero is studied. The results of convergence of (EH, nH) to the couple (E, n) which is the solution to the Zakharov equations are stated.展开更多
基金A Project Supported by Scientific Research Fund of Hunan Provincial Education Department (10C1056)Scientific Research Found of Huaihua University (HHUY2011-01)
文摘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.
基金Project supported by the Scientific Research Fund of Hunan Provincial Education Department of China (No. 10C1056)
文摘A family of systems parameterized by H 〉 0, which describes the Langmuir turbulence, is considered. The asymptotic behavior of the solutions (E^H, nH) when H goes to zero is studied. The results of convergence of (EH, nH) to the couple (E, n) which is the solution to the Zakharov equations are stated.