Equations of Langmuir turbulence and Zakharov equations: smoothness and approximation

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

doi:10.1007/s10483-012-1606-9

Applied Mathematics and Mechanics >

2012 , Vol. 33 >Issue 8: 1079 - 1092

DOI: https://doi.org/10.1007/s10483-012-1606-9

Articles

Equations of Langmuir turbulence and Zakharov equations: smoothness and approximation

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

Received date: 2011-06-24

Revised date: 2012-03-30

Online published: 2012-08-10

Supported by

Project supported by the Scientific Research Fund of Hunan Provincial Education Department of China (No. 10C1056)

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Abstract

A family of systems parameterized by H > 0, which describes the Langmuir turbulence, is considered. The asymptotic behavior of the solutions (E^H, n^H) when H goes to zero is studied. The results of convergence of (E^H, n^H) to the couple (E, n) which is the solution to the Zakharov equations are stated.

Key words： two-dimensional quasicrystal; mode-Ⅱ Griffith crack; stress function; stress intensity factor; strain energy release rate

Cite this article

Shu-jun YOU;Bo-ling GUO;Xiao-qi NING . Equations of Langmuir turbulence and Zakharov equations: smoothness and approximation[J]. Applied Mathematics and Mechanics, 2012 , 33(8) : 1079 -1092 . DOI: 10.1007/s10483-012-1606-9

References

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