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Abstract The present paper concerns with compressible quantum magnetohydrodynamic flows in T 3 . This new model was derived by Haas [13] from a Wigner–Maxwell system. First, we reformulate this… Click to show full abstract
Abstract The present paper concerns with compressible quantum magnetohydrodynamic flows in T 3 . 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.
Keywords:
global existence;
compressible quantum;
behavior solutions;
time behavior;
magnetohydrodynamics;
large time
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
Link to full text (if available)
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recommendations!