Uniform regularity for a two-phase model with magneto field and a related system

DOI10.1063/1.5130928zbMath1459.76155OpenAlexW3044201955MaRDI QIDQ5140946

Jishan Fan, Tong Tang, Gen Nakamura

Publication date: 17 December 2020

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

Full work available at URL: https://doi.org/10.1063/1.5130928

zbMATH Keywords

existenceuniquenessproduct estimatebilinear commutator

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Liquid-liquid two component flows (76T06)

Related Items (3)

Large time behavior of global strong solutions to a two-phase model with a magnetic field ⋮ Vanishing resistivity limit of one-dimensional two-phase model with magnetic field ⋮ On the low Mach number limit of a two-fluid model with magnetic field and ill-prepared initial data in bounded domain

Cites Work

• Unnamed Item
• Local classical solutions of compressible Navier-Stokes-Smoluchowski equations with vacuum
• Strong solution to the compressible magnetohydrodynamic equations with vacuum
• Global well-posedness and decay estimates of strong solutions to a two-phase model with magnetic field
• A new blowup criterion for strong solutions to the Cauchy problem of three-dimensional compressible magnetohydrodynamic equations
• Global weak solution to the viscous two-fluid model with finite energy
• Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum
• On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum
• Global solutions of the 3D compressible MHD system in a bounded domain
• Weakly dissipative solutions and weak-strong uniqueness for the Navier-Stokes-Smoluchowski system
• Low Mach number limit of the full Navier-Stokes equations
• Low Mach number limit of full Navier-Stokes equations in a 3D bounded domain
• Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations
• A BLOW-UP CRITERION FOR 3D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM
• Commutator estimates and the euler and navier-stokes equations
• Low Mach number limit of the compressible Navier-Stokes-Smoluchowski equations in multi-dimensions
• Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model
• The incompressible limit of the non-isentropic Euler equations

This page was built for publication: Uniform regularity for a two-phase model with magneto field and a related system