Global solution for quantum Zakharov equations

doi:10.1007/s10483-017-2181-6

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (4): 603-616.doi: https://doi.org/10.1007/s10483-017-2181-6

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Global solution for quantum Zakharov equations

Shujun YOU¹, Boling GUO²

1. Department of Mathematics, Huaihua University, Huaihua 418008, Hunan Province, China;
2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2015-12-27 Revised:2016-09-15 Online:2017-04-01 Published:2017-04-01
Contact: Shujun YOU E-mail:ysj980@aliyun.com
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11501232) and the Research Foundation of Education Bureau of Hunan Province (No. 15B185)

Abstract

Abstract:

The initial value problem for the quantum Zakharov equation in three dimensions is studied. The existence and uniqueness of a global smooth solution are proven with coupled a priori estimates and the Galerkin method.

Key words: generalized thermoelasticity, energy dissipation, quantum Zakharov equation, global solution, initial value problem, two-temperature, heat source

2010 MSC Number:

O175.2

Shujun YOU, Boling GUO. Global solution for quantum Zakharov equations. Applied Mathematics and Mechanics (English Edition), 2017, 38(4): 603-616.

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References

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Global solution for quantum Zakharov equations

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