INITIAL BOUNDARY VALUE PROBLEM FOR THE SINGULARLY PERTURBED BOUSSINESQ-TYPE EQUATION

机译：奇摄动BOUSSINESQ型方程的初边值问题

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We are concerned with the singularly perturbed Boussinesq-type equation including the singularly perturbed sixth-order Boussinesq equation, which describes the bi-directional propagation of small amplitude and long capillary-gravity waves on the surface of shallow water for bond number (surface tension parameter) less than but very close to 1/3. The existence and uniqueness of the global generalized solution and the global classical solution of the initial boundary value problem for the singularly perturbed Boussinesq-type equation are proved.

机译：我们研究了奇摄动的Boussinesq型方程，包括奇摄动的六阶Boussinesq方程，该方程描述了当键数（表面张力参数）小于但非常接近1/3时，小振幅和长毛细重力波在浅水表面的双向传播。证明了奇摄动Boussinesq型方程初边值问题整体广义解和整体经典解的存在唯一性。

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《AIMS International Conference on Dynamical Systems, Differential Equations and Applications》|2013年||共9页
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Changming Song; Hong Li; Jina Li;
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中图分类微分动力系统;
关键词
Singularly perturbed Boussinesq-type equation; initial boundary value problem; global generalized solution; global classical solution; Boussinesq equation.;

机译：奇摄动Boussinesq型方程;初边值问题;全局广义解;整体经典解;Boussinesq方程。;

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机译：奇摄动六阶Bussinesq型方程初边值问题全局解的不存在
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9. Numerical methods for singularly perturbed boundary value problems and singularly perturbed equations. [D] . Savin, Igor. 2010

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机译：非线性奇异奇摄动初值问题的解析和数值方法

INITIAL BOUNDARY VALUE PROBLEM FOR THE SINGULARLY PERTURBED BOUSSINESQ-TYPE EQUATION

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