In 1935,the famous L-L equations were proposed by Landau and Lifshitz in[7]to describe the evolution of spin fields in continuum ferromagnets.In this paper we study two important L-L equations as
<正>The Boussinesq approximation is a reasonable model to describe processes in body interior in planetary physics.We refer to[1]and[2]for a derivation of the Boussinesq approximation, and[3]for some related res...<正>The Boussinesq approximation is a reasonable model to describe processes in body interior in planetary physics.We refer to[1]and[2]for a derivation of the Boussinesq approximation, and[3]for some related results of existence and uniqueness of solution. Let D=[O,L]~2(L>0).We mainly consider the following stochastic modified Boussinesq approximation in two-dimensional periodic domain D,展开更多
We denote the bounded open set byΩ=[0,L]~d in R^d(d=1,2,3).Consider the followingcoupled nonlinear dissipative quantum Zarkharov equations onΩiE_t+△E-H^2△~2E-nE+iγE=0,n_(tt)+αn_t-△n+H^2△~2n-△(|E|~2)=0with per...We denote the bounded open set byΩ=[0,L]~d in R^d(d=1,2,3).Consider the followingcoupled nonlinear dissipative quantum Zarkharov equations onΩiE_t+△E-H^2△~2E-nE+iγE=0,n_(tt)+αn_t-△n+H^2△~2n-△(|E|~2)=0with periodic boundary condition and initial condition for j=1,2,3.展开更多
基金supported in part by NSFC(No.10771226,No.10861014)in part innovative Talent Training Project,the Third Stage of”211 Project”Chongqing University,Project Number:S-09110
文摘In 1935,the famous L-L equations were proposed by Landau and Lifshitz in[7]to describe the evolution of spin fields in continuum ferromagnets.In this paper we study two important L-L equations as
基金Supported by the Fundamental Research Funds for the Central Universities(No2010QS04)
文摘<正>The Boussinesq approximation is a reasonable model to describe processes in body interior in planetary physics.We refer to[1]and[2]for a derivation of the Boussinesq approximation, and[3]for some related results of existence and uniqueness of solution. Let D=[O,L]~2(L>0).We mainly consider the following stochastic modified Boussinesq approximation in two-dimensional periodic domain D,
基金Supported by NSFC(No.11061003)Guangxi NSF(No.0832065)Guangxi Education Institution Scientific ResearchItem(No.20091 1LX150)
文摘We denote the bounded open set byΩ=[0,L]~d in R^d(d=1,2,3).Consider the followingcoupled nonlinear dissipative quantum Zarkharov equations onΩiE_t+△E-H^2△~2E-nE+iγE=0,n_(tt)+αn_t-△n+H^2△~2n-△(|E|~2)=0with periodic boundary condition and initial condition for j=1,2,3.
