Langmuir扰动方程和Zakharov方程:光滑性与近似

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基金项目: 湖南省教育厅科研基金资助项目(10C1056)

Equations of Langmuir Turbulence and Zakharov Equations: Smoothness and Approximation

¹School of Mathematical Science and Computing Technology, Central South University, Changsha 410083, P.R.China;²Department of Mathematics, Huaihua University, Huaihua, Hunan 418008, P.R.China;³Institute of Applied Physics and Computational Mathematics, Beijing 100088, P.R.China

摘要: 考虑了一类带参数H，用于描述Langmuir扰动的方程．研究了当参数H趋于0时，这一类扰动方程的渐近行为．通过建立一个弱收敛结果和一个强收敛结果,得到了这类扰动方程初值问题的解(E^H ,n^H )收敛到Zakharov方程初值问题的解(E,n)的结论．
- Zakharov方程 /
- Langmuir扰动方程 /
- 近似
Abstract: The authors considered a family of systems parameterized by H,which described Langmuir’s turbulence, and studied the asymptotic behavior of the solutions (E^H , n^H ) when H went to zero. They state convergence results of (E^H , n^H ) to the couple (E,n) which is the solution of the Zakharov equations.
- Zakharov equations /
- equations of Langmuir turbulence /
- approximation

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