Global classical solutions for a compressible fluid-particle interaction model

Myeongju Chae; Kyungkeun Kang; Jihoon Lee

doi:10.1142/S0219891613500197

Global classical solutions for a compressible fluid-particle interaction model

Myeongju Chae, Kyungkeun Kang, Jihoon Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	537-562
Number of pages	26
Journal	Journal of Hyperbolic Differential Equations
Volume	10
Issue number	3
DOIs	https://doi.org/10.1142/S0219891613500197
Publication status	Published - 2013 Sept

Bibliographical note

Funding 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.

All Science Journal Classification (ASJC) codes

Analysis
Mathematics(all)

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10.1142/S0219891613500197

Cite this

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abstract = "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.",

author = "Myeongju Chae and Kyungkeun Kang and Jihoon Lee",

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AU - Kang, Kyungkeun

AU - Lee, Jihoon

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N2 - 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.

AB - 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.

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Global classical solutions for a compressible fluid-particle interaction model

Abstract

Bibliographical note

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