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

• 论文 • 上一篇

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

收稿日期:2015-12-27 修回日期:2016-09-15 出版日期:2017-04-01 发布日期:2017-04-01
通讯作者: Shujun YOU E-mail:ysj980@aliyun.com
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11501232) and the Research Foundation of Education Bureau of Hunan Province (No. 15B185)

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)

摘要/Abstract

摘要：

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.

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

Abstract:

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

中图分类号:

O175.2

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

参考文献

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Global solution for quantum Zakharov equations

Global solution for quantum Zakharov equations

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