Local well-posedness for the 2D Cauchy problem of full compressible magnetohydrodynamic equations with vacuum at infinity

DOI10.1016/j.cnsns.2022.106880OpenAlexW4295941551WikidataQ114196362 ScholiaQ114196362MaRDI QIDQ2094493

Yanyan Li

Publication date: 28 October 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.09235

zbMATH Keywords

local well-posednessfull compressible MHD equationsvacuum at infinity2D Cauchy problem

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

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• Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Global strong solution to 3D full compressible magnetohydrodynamic flows with vacuum at infinity
• Existence results for viscous polytropic fluids with vacuum
• The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars
• Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
• Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows
• Strong solution to the compressible magnetohydrodynamic equations with vacuum
• Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
• Unique solvability of the initial boundary value problems for compressible viscous fluids.
• Global classical and weak solutions to the three-dimensional full compressible Navier-Stokes system with vacuum and large oscillations
• Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations
• Global strong solutions of Navier-Stokes equations for heat-conducting compressible fluids with vacuum at infinity
• Global well-posedness to three-dimensional full compressible magnetohydrodynamic equations with vacuum
• Existence of strong solution for the Cauchy problem of fully compressible Navier-Stokes equations in two dimensions
• Global strong solution for 3D compressible heat-conducting magnetohydrodynamic equations revisited
• Global small solutions of heat conductive compressible Navier-Stokes equations with vacuum: smallness on scaling invariant quantity
• Regularity and uniqueness for the compressible full Navier-Stokes equations
• Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum
• The initial value problem for the compressible Navier-Stokes equations without heat conductivity
• Global strong solutions to the 3D full compressible Navier-Stokes equations with density-temperature-dependent viscosities in bounded domains
• Global existence and large time asymptotic behavior of strong solutions to the 2-D compressible magnetohydrodynamic equations with vacuum
• Global Classical Solutions to 3D Compressible Magnetohydrodynamic Equations with Large Oscillations and Vacuum
• Global Solutions to the Three-Dimensional Full Compressible Navier--Stokes Equations with Vacuum at Infinity in Some Classes of Large Data
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• Global existence and convergence rates for the 3-D compressible Navier-Stokes equations without heat conductivity
• On global-in-time weak solutions to the magnetohydrodynamic system of compressible inviscid fluids
• On Global-in-Time Weak Solutions to a Two-Dimensional Full Compressible NonResistive MHD System
• On strong solutions to the Cauchy problem of the two-dimensional compressible magnetohydrodynamic equations with vacuum
• Global Well-Posedness of the One-Dimensional Compressible Navier--Stokes Equations with Constant Heat Conductivity and Nonnegative Density
• Global Existence for a Class of Large Solutions to Three-Dimensional Compressible Magnetohydrodynamic Equations with Vacuum
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Entropy‐Bounded Solutions to the One‐Dimensional Heat Conductive Compressible Navier‐Stokes Equations with Far Field Vacuum

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