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Global Weak Solutions to the Magnetohydrodynamic and Vlasov Equations
Authors:Robin Ming Chen  Jilong Hu  Dehua Wang
Affiliation:1.Department of Mathematics,University of Pittsburgh,Pittsburgh,USA
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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