Asymptotic stability of a fluid-particles interaction model with external forces

DOI10.1063/1.5022028zbMath1383.35148OpenAlexW2784999795MaRDI QIDQ3134104

Li Li, Ning Zhong, Zaihong Jiang, Jinbo Geng

Publication date: 8 February 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5022028

zbMATH Keywords

Cauchy problemVlasov-Fokker-Planck equationincompressible Euler equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Suspensions (76T20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Vlasov equations (35Q83) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84)

Cites Work

• Global classical solutions close to equilibrium to the Vlasov-Fokker-Planck-Euler system
• Global existence of solutions for the coupled Vlasov and Navier-Stokes equations.
• Global existence of weak and classical solutions for the Navier-Stokes-Vlasov-Fokker-Planck equations
• Well-posedness of a kinetic model of dispersed two-phase flow with point-particles and stability of travelling waves
• Cauchy problem on the Vlasov-Fokker-Planck equation coupled with the compressible Euler equations through the friction force
• Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations
• The Navier–Stokes–Vlasov–Fokker–Planck System near Equilibrium
• Dynamic Theory of Suspensions with Brownian Effects
• Commutator estimates and the euler and navier-stokes equations
• Existence and stability of travelling wave solutions in a kinetic model of two-phase flows
• GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS
• Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime.

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