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Kwon, Bongsuk
Partial Differential Equations and their applications
Research Interests
  • Partial differential equations, hyperbolic conservation laws, stability of nonlinear waves

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Global well-posedness and large-time behavior for the inhomogeneous Vlasov-Navier-Stokes equations

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Title
Global well-posedness and large-time behavior for the inhomogeneous Vlasov-Navier-Stokes equations
Author
Choi, Young-PilKwon, Bongsuk
Issue Date
2015-09
Publisher
IOP PUBLISHING LTD
Citation
NONLINEARITY, v.28, no.9, pp.3309 - 3336
Abstract
We study the global solvability and the large-time behavior of solutions to the inhomogeneous Vlasov-Navier-Stokes equations. When the initial data is sufficiently small and regular, we first show the unique existence of the global strong solution to the kinetic-fluid equations, and establish the a priori estimates for the large-time behavior using an appropriate Lyapunov functional. More specifically, we show that the velocities of particles and fluid tend to be aligned together exponentially fast, provided that the local density of the particles satisfies a certain integrability condition
URI
https://scholarworks.unist.ac.kr/handle/201301/17203
URL
http://iopscience.iop.org/article/10.1088/0951-7715/28/9/3309/meta
DOI
10.1088/0951-7715/28/9/3309
ISSN
0951-7715
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