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Global well-posedness of the hydrodynamic model for two-carrier plasmas |
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| Authors: | Yue-Jun Peng Jiang Xu |
| Institution: | 1. Clermont Université, Université Blaise Pascal, 63000 Clermont-Ferrand, France;2. Laboratoire de Mathématiques, CNRS-UMR 6620, Complexe scientifique Les Cézeaux, BP 80026, 63171 Aubière cedex, France;3. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
| Abstract: | We prove results on the global well-posedness of the hydrodynamic model for two-carrier plasmas in whole space and periodic domain. We remove a technical condition which was first introduced by Alì and Jüngel 2] and developed in and to deal with the difficulty mainly arising from complicated coupling and cancellation between two carriers. The proofs depend on a result on continuity for compositions in Chemin–Lerner spaces and an elementary fact which indicates the connection between homogeneous and inhomogeneous Chemin–Lerner spaces. |
| Keywords: | 35M20 35Q35 76W05 |
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