Global existence of smooth solutions for the compressible viscous fluid flow with radiation in \(\mathbb{R}^3\).

DOI10.21136/am.2023.0059-22OpenAlexW4380487955MaRDI QIDQ6136973

Jongsung Kim, Hyejong O, Hakho Hong

Publication date: 18 January 2024

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/am.2023.0059-22

zbMATH Keywords

existenceconvergence rateradiation hydrodynamicsNavier-Stokes system with radiation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

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• Unique global solution of an initial-boundary value problem to a diffusion approximation model in radiation hydrodynamics
• Long-time behavior of solution for the compressible nematic liquid crystal flows in \(\mathbb R^3\)
• Convergence rate of solutions to strong contact discontinuity for the one-dimensional compressible radiation hydrodynamics model
• Asymptotic stability of rarefaction waves in radiative hydrodynamics
• Nonlinear stability of combination of viscous contact wave with rarefaction waves for a 1D radiation hydrodynamics model
• Large-time behavior of the motion of a viscous heat-conducting one-dimensional gas coupled to radiation
• Decay of the Navier-Stokes-Poisson equations
• Large-time behavior of solutions for the one-dimensional infrarelativistic model of a compressible viscous gas with radiation
• Asymptotic behavior toward the combination of contact discontinuity with rarefaction waves for 1-D compressible viscous gas with radiation
• Existence of strong solutions with critical regularity to a polytropic model for radiating flows
• Global well-posedness and large time behavior of classical solutions to the diffusion approximation model in radiation hydrodynamics
• Asymptotic stability of viscous contact wave for the one-dimensional compressible viscous gas with radiation
• Asymptotic stability of viscous contact wave for the 1D radiation hydrodynamics system
• On a model in radiation hydrodynamics
• Global existence and semiclassical limit for quantum hydrodynamic equations with viscosity and heat conduction
• Stability of radiative shock profiles for hyperbolic-elliptic coupled systems
• Global weak solutions to the 1D compressible Navier-Stokes equations with radiation
• Smooth solutions to diffusion approximation radiation hydrodynamics equations
• Decay rates of solutions to a P1-approximation model arising from radiation hydrodynamics
• Existence results for the radiation hydrodynamic equations with degenerate viscosity coefficients and vacuum
• Hyperbolic-hyperbolic relaxation limit for a 1D compressible radiation hydrodynamics model: superposition of rarefaction and contact waves
• Unique global solution to the thermally radiative magnetohydrodynamics equations
• Non-degenerate stationary solution for outflow problem on the 1-D viscous heat-conducting gas with radiation
• Global well posedness for the thermally radiative magnetohydrodynamic equations in 3D
• On a simplified model for radiating flows
• Global existence for weak solutions of the Cauchy problem in a model of radiation hydrodynamics
• Global existence of solutions for the one-dimensional motions of a compressible viscous gas with radiation: an ``infrarelativistic model
• Existence results for compressible radiation hydrodynamic equations with vacuum
• Vanishing viscosity limit of the radiation hydrodynamic equations with far field vacuum
• Existence results and blow-up criterion of compressible radiation hydrodynamic equations
• Formation of singularities in solutions to the compressible radiation hydrodynamics equations with vacuum
• Optimal decay rates of the compressible fluid models of Korteweg type
• Asymptotic stability of shock profiles in radiative hydrodynamics
• Shock profiles for non-equilibrium radiating gases
• Asymptotic behaviors of the full quantum hydrodynamic equations
• The initial value problem for a multi-dimensional radiation hydrodynamics model with viscosity
• Singular Limit to Strong Contact Discontinuity for a 1D Compressible Radiation Hydrodynamics Model
• Nonrelativistic Limit of the Compressible Navier--Stokes--Fourier--P1 Approximation Model Arising in Radiation Hydrodynamics
• Nonequilibrium-Diffusion Limit of the Compressible Euler-P1 Approximation Radiation Model at Low Mach Number
• Decay of Dissipative Equations and Negative Sobolev Spaces
• ASYMPTOTIC BEHAVIOR OF THE MOTION OF A VISCOUS HEAT-CONDUCTING ONE-DIMENSIONAL GAS WITH RADIATION: THE PURE SCATTERING CASE
• DECAY RATES TO VISCOUS CONTACT WAVES FOR A 1D COMPRESSIBLE RADIATION HYDRODYNAMICS MODEL
• Stability of Stationary Solutions to the Inflow Problem for Full Compressible Navier--Stokes Equations with a Large Initial Perturbation
• Shock waves for radiative hyperbolic-elliptic systems

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