Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774453 | Journal of Mathematical Analysis and Applications | 2017 | 20 Pages |
Abstract
The present paper concerns with compressible quantum magnetohydrodynamic flows in T3. This new model was derived by Haas [13] from a Wigner-Maxwell system. First, we reformulate this system as the quantum Euler-Maxwell system by using effective velocity. Then, the global existence of weak solutions is obtained by adding artificial viscosity terms and the Faedo-Galerkin method together with weak compactness techniques. Moreover, large time behavior of solutions is established.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hengyan Li, Ming Cheng, Weiping Yan,