We consider a system coupling the compressible Navier-Stokes equations to the Vlasov-Fokker-Planck equation on three-dimensional torus. The coupling arises from a drag force exerted by each other. We establish the existence of the global classical solutions close to an equilibrium, and further prove that the solutions converge to the equilibrium exponentially fast.
Bibliographical noteFunding Information:
M. Chae’s work was supported by the National Research Foundation of Korea (NRF-2011-0028951). K. Kang’s work was partially supported by NRF-2012R1A1A2001373. J. Lee’s work was partially supported by NRF-2011-0006697.
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