Existence of weak solution for quantum Zakharov equations for plasmas model

FANG Shao-Mei;JIN Ling-Yu;GUO Bo-Ling

doi:10.1007/s10483-011-1504-7

Applied Mathematics and Mechanics >

2011 , Vol. 32 >Issue 10: 1339 - 1344

DOI: https://doi.org/10.1007/s10483-011-1504-7

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Existence of weak solution for quantum Zakharov equations for plasmas model

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1. Department of Mathematics, South China Agricultural University, Guangzhou 510642, P. R. China;
2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China

Received date: 2011-03-26

Revised date: 2011-07-31

Online published: 2011-10-09

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Abstract

Zakharov equations have a fairly abundant physical background. In this paper, the existence of the weak global solution for quantum Zakharov equations for the plasmas model is obtained by means of the Arzela-Ascoli theorem, Faedo-Galerkin methods, and compactness property.

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FANG Shao-Mei;JIN Ling-Yu;GUO Bo-Ling . Existence of weak solution for quantum Zakharov equations for plasmas model[J]. Applied Mathematics and Mechanics, 2011 , 32(10) : 1339 -1344 . DOI: 10.1007/s10483-011-1504-7

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