<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
Journal of Mathematics and System Science is a international, scholarly and peer-reviewed journal （print and online, Print： ISSN 2159-5291; Online： ISSN 2159-5305） published monthly by David Publishing Company, US...Journal of Mathematics and System Science is a international, scholarly and peer-reviewed journal （print and online, Print： ISSN 2159-5291; Online： ISSN 2159-5305） published monthly by David Publishing Company, USA which was founded in 2001. The Journal seeks to bridge and integrate the intellectual, methodological, and substantive diversity of scholarship in mathematics and system science,展开更多
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.
文摘Journal of Mathematics and System Science is a international, scholarly and peer-reviewed journal （print and online, Print： ISSN 2159-5291; Online： ISSN 2159-5305） published monthly by David Publishing Company, USA which was founded in 2001. The Journal seeks to bridge and integrate the intellectual, methodological, and substantive diversity of scholarship in mathematics and system science,
