Optimal convergence rates turbulent flow for three-dimensional equations

• 作 者: 边东芬 郭柏灵
• 机 构: TheGraduateSchoolofChinaAcademyofEngineeringPhysics,InstituteofAppliedPhysicsandComputationalMathema
• 出 处: 应用数学和力学：英文版
• 发表日期: 2013年5期
• 关键词: 最优收敛率 流方程 三维 平衡状态 收敛速度 能量方法 初始扰动 一阶导数 turbulent flow equation k-ε model optimal
• 基金项目: Project supported by ＇the National N＇atural Science Foundation of China （Nos. 11071057 and 11271052） and the Special ~nd Project of Mathematical Tian Yuan Fund （No. 11226029）

In this paper,the convergence rates of solutions to the three-dimensional turbulent flow equations are considered.By combining the Lp-Lq estimate for the linearized equations and an elaborate energy method,the convergence rates are obtained in various nor