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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Communicated by G.-Q. Chen.
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Chen, R.M., Hu, J. & Wang, D. Global Weak Solutions to the Magnetohydrodynamic and Vlasov Equations. J. Math. Fluid Mech. 18, 343–360 (2016). https://doi.org/10.1007/s00021-015-0238-1
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DOI: https://doi.org/10.1007/s00021-015-0238-1