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中文摘要：
研究一类二维Newton—Boussinesq方程的周期初值问题，将方程转化为积分方程，用不动点原理得到解的局部存在性，用能量估计的方法证明经典解的整体存在性．
英文摘要：
A class of periodic initial value problems for two-dimensional Newton-Boussinesq equations was investigated. First the Newton-Boussinesq equations were turned into the equivalent integral equations, then by the iteration methods the local existence of the solutions was obtained. Finally using the method of a priori estimates, the global existence of the solutions was proved.
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同项目期刊论文
Global attractor for the initial-boundary value problems for Ginzburg-Landau equations for atomic Fe
Global existence of solutions to the periodic initial value problems for two-dimensional Newton-Bous
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