Global existence of weak and classical solutions for the Navier-Stokes-Vlasov-Fokker-Planck equations
type: Item
instance of: scholarly article
title: Global existence of weak and classical solutions for the Navier-Stokes-Vlasov-Fokker-Planck equations
zbMATH Open document ID: 1230.35095
author: Myeongju Chae
author: Kyungkeun Kang
author: Jihoon Lee
published in: Journal of Differential Equations
publication date: 2011-10-10T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 76B03
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 5955719
zbMATH Keywords: Navier-Stokes
zbMATH Keywords: Vlasov-Fokker-Planck
zbMATH Keywords: weak solutions
MaRDI profile type: Publication
full work available at URL: j.jde.2011.07.016
OpenAlex ID: W2112809885
cites work: COUPLING EULER AND VLASOV EQUATIONS IN THE CONTEXT OF SPRAYS: THE LOCAL-IN-TIME, CLASSICAL SOLUTIONS
cites work: Global existence of solutions for the coupled Vlasov and Navier-Stokes equations.
cites work: A note on limiting cases of sobolev embeddings and convolution inequalities
cites work: Dynamic Theory of Suspensions with Brownian Effects
cites work: Global weak solutions for the initial-boundary-value problems Vlasov-Poisson-Fokker-Planck System
cites work: Global classical solutions close to equilibrium to the Vlasov-Fokker-Planck-Euler system
cites work: Global regularity for the 2D Boussinesq equations with partial viscosity terms
cites work: Q5470458
cites work: Global Solutions to the Coupled Chemotaxis-Fluid Equations
cites work: Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
cites work: Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime.
cites work: The Navier–Stokes–Vlasov–Fokker–Planck System near Equilibrium
cites work: Global existence and large time behaviour of solutions for the Vlasov-Stokes equations
cites work: On the global smooth solution to 2-D fluid/particle system
cites work: GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS
cites work: On the Cauchy problem for Boltzmann equations: Global existence and weak stability
cites work: Q4389323
cites work: Q3909512
DOI: 10.1016/J.JDE.2011.07.016
description: scientific article; zbMATH DE number 5955719