Equations of Langmuir Turbulence and Zakharov Equations: Smoothness and Approximation

YOU Shu-jun; GUO Bo-ling; NING Xiao-qi

doi:10.3879/j.issn.1000-0887.2012.08.009

Volume 33 Issue 8

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YOU Shu-jun, GUO Bo-ling, NING Xiao-qi. Equations of Langmuir Turbulence and Zakharov Equations: Smoothness and Approximation[J]. Applied Mathematics and Mechanics, 2012, 33(8): 1013-1024. doi: 10.3879/j.issn.1000-0887.2012.08.009

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Equations of Langmuir Turbulence and Zakharov Equations: Smoothness and Approximation

doi: 10.3879/j.issn.1000-0887.2012.08.009

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

Received Date: 2011-06-24
Rev Recd Date: 2012-03-30
Publish Date: 2012-08-15

Abstract

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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References(9)

References

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