Global existence of solutions to the periodic initial value problems for two-dim

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Global existence of solutions to the periodic initial value problems for two-dimensional Newton-Boussinesq equations

A class of periodic initial value problems for two-dimensional Newton-Boussinesq equations are investigated in this paper.The Newton-Bonssinesq equations are turned into the equivalent integral equations.With iteration methods,the local ex-istence of the solutions is obtained.Using the method of a priori estimates,the global existence of the solution is proved.水利论文 o0va6[1@X A,xx

作 者: Shao-mei FANG Ling-yu JIN Bo-ling GUO  
作者单位:Shao-mei FANG,Ling-yu JIN(Department of Mathematics,South China Agricultural University,Guangzhou 510642,P.R.China)
-B%Ye5a0Ich j9S9C0Bo-ling GUO(Institute of Applied Physics and Computational Mathematics,Beijing 100088,P.R.China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2010 31(4) 
分类号:O241.8 
关键词:nonlinear two-dimensional Newton-Boussinesq equation   classical solution   a priori estimates  
机标关键词:problemsinitial valueiteration methodsglobal existencesolutionsmethod ofclass 
基金项目:国家自然科学基金,广东省自然科学基金 
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