Global Weak Solutions to the Magnetohydrodynamic and Vlasov Equations |
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Authors: | Robin Ming Chen Jilong Hu Dehua Wang |
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Affiliation: | 1.Department of Mathematics,University of Pittsburgh,Pittsburgh,USA |
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Abstract: | An initial-boundary value problem for the fluid–particle system of the inhomogeneous incompressible magnetohydrodynamic equations coupled with the Vlasov equation is studied in a three-dimensional bounded domain. New ideas are introduced to construct the approximate solutions. The existence of global weak solutions is established by the energy estimates and the weak convergence method. |
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