Burgers方程的小波近似惯性流形及数值分析

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基金项目: 国家自然科学基金资助项目(10071033);教育部骨干教师基金资助项目

Wavelet Approximate Inertial Manifold and Numerical Solution of Burgers' Equation

1.
Faculty of Science, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212013, P R China;
2.
Department of Mathematics, Shanghai University, Shanghai 200018, P R China

摘要: 研究Burgers方程小波基下小波近似惯性流形的存在性,并作低阶多分辨分析下的数值分析,数值分析表明小波近似惯性流形更能反映方程的局部行为.
- 小波 /
- 小波近似惯性流形 /
- 小波Galerkin解 /
- 无穷维动力系统
Abstract: The existence of approximate inertial manifold using wavelet to Burgers. equation,and numerical solution under multiresolution analysis with the low modes were studied. It is shown that the Burgers. equation has a good localization property of the numerical solution distinguishably.
- wavelet /
- wavelet approximate inertial manifold(WAIM) /
- wavelet Galerkin solution /
- infinite dimensional dynamic system

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