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Global well-posedness and the classical limit of the solution for the quantum Zakharov system |
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| Authors: | Yanfeng Guo Jingjun Zhang Boling Guo |
| Institution: | 1. Department of Information and Computation of Science, Guangxi University of Technology, Guangxi, 545006, China 2. College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang, 314001, China 3. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing, 100088, China |
| Abstract: | In this paper, we study the quantum Zakharov system, which describes the nonlinear interaction between the quantum Langmuir and quantum ion-acoustic waves. The global well-posedness result of this system in the energy and above energy spaces is obtained in the case d = 1, 2, 3. Moreover, the classical limit behavior of the quantum Zakharov system is also investigated as the quantum parameter tends to zero. |
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