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

• 作 者: 房少梅 金玲玉 郭柏灵
• 机 构: DepartmentofMathematics,InstituteofAppliedPhysicsandComputationalMathematics
• 出 处: 应用数学和力学：英文版
• 发表日期: 2010年4期
• 关键词: BOUSSINESQ方程 初值问题 牛顿 二维 周期 局部存在性 积分方程 估计方法 nonlinear two-dimensional Newton-Bous
• 基金项目: Project supported by the National Natural Science Foundation of China （Nos. 10871075 and 10926101） and the Natural Science Foundation of Guangdong Province of China （Nos. 9451064201003736 and 91510642

A class of periodic initial value problems for two-dimensional Newton-Boussinesq equations are investigated in this paper. The Newton-Boussinesq equations are turned into the equivalent integral equations. With iteration methods, the local existence of th