Strong solutions to a fluid-particle interaction model with magnetic field in \(\mathbb{R}^2\)

DOI10.3934/dcdsb.2021042zbMath1481.35308OpenAlexW3128398262MaRDI QIDQ2064497

Shijin Ding, Xiaoyan Hou, Bingyuan Huang

Publication date: 6 January 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2021042

zbMATH Keywords

vacuummagnetic fieldstrong solutioncompressible Navier-Stokes-Smoluchowski equations

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35)

Related Items (2)

Classical solutions of the 3D compressible fluid-particle system with a magnetic field ⋮ Boundary layers for a fluid-particle interaction system with density-dependent viscosity and cylindrical symmetry

Cites Work

• Global well-posedness of strong solutions to the two-dimensional barotropic compressible Navier-Stokes equations with vacuum
• Global existence and time-decay estimates of solutions to the compressible Navier-Stokes-Smoluchowski equations
• On the dynamics of a fluid-particle interaction model: the bubbling regime
• Local classical solutions of compressible Navier-Stokes-Smoluchowski equations with vacuum
• Global well-posedness and large time behavior of classical solutions to the Vlasov-Fokker-Planck and magnetohydrodynamics equations
• On local classical solutions to the Cauchy problem of the two-dimensional barotropic compressible Navier-Stokes equations with vacuum
• Unique solvability of the initial boundary value problems for compressible viscous fluids.
• Global well-posedness and decay estimates of strong solutions to a two-phase model with magnetic field
• Strong solutions of the Navier-Stokes equations for isentropic compressible fluids
• Global existence and decay estimates for the classical solutions to a compressible fluid-particle interaction model
• Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum
• Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum
• On the existence of global strong solutions to 2D compressible Navier-Stokes-Smoluchowski equations with large initial data
• Global well-posedness of classical solutions to a fluid-particle interaction model in \(\mathbb{R}^3\)
• Weakly dissipative solutions and weak-strong uniqueness for the Navier-Stokes-Smoluchowski system
• On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
• Global weak solutions to the magnetohydrodynamic and Vlasov equations
• Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces
• Global classical large solutions to a 1D fluid-particle interaction model: The bubbling regime
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• Global classical solutions to the 2D compressible Navier-Stokes equations with vacuum
• Low Mach number limit of the compressible Navier-Stokes-Smoluchowski equations in multi-dimensions
• Strong solutions for a 1D fluid-particle interaction non-newtonian model: The bubbling regime
• Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model

This page was built for publication: Strong solutions to a fluid-particle interaction model with magnetic field in \(\mathbb{R}^2\)