【摘 要】
：
Our talk is concerned with the following one-dimensional non-linear system of equations utt-p(θ,ε)x-vuxxt + Ruxxxx =f (1)Cvθt-κθxx-θPθεt-vε2t =g (2
【机 构】
：
InstituteofMathematics,FudanUniversity,Shanghai,China
【出 处】
：
International Conference on Nonlinear PDEs and Their Applica
论文部分内容阅读
Our talk is concerned with the following one-dimensional non-linear system of equations utt-p(θ,ε)x-vuxxt + Ruxxxx =f (1)Cvθt-κθxx-θPθεt-vε2t =g (2)where both v and R are positive constants.The corresponding free energy density is assumed to be in Ginzburg-Landan form and nonconvex as a function of the order parameter.Results concerning the existence and uniqueness of the global solution,the asymptotic behavior of the solution as time tends to infinity and the compactness of the orbit are obtained.Furthermore,we investigate dynamics of the system and prove the existence of global attractor.
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