The initial value problem for a multi-dimensional radiation hydrodynamics model with viscosity
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Publication:2996740
DOI10.1002/mma.1398zbMath1216.35099OpenAlexW2060114427MaRDI QIDQ2996740
Publication date: 3 May 2011
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.1398
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
- Unnamed Item
- Some estimates of solutions for the equations of motion of compressible viscous fluid in the three-dimensional exterior domain
- \(L^1\)-stability of constants in a model for radiating gases
- Global solution to the one-dimensional equations for a self-gravitating viscous radiative and reactive gas
- The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars
- Decay rates to the planar rarefaction waves for a model system of the radiating gas in \(n\) dimensions
- Global existence of strong solutions to the Cauchy problem for a 1D radiative gas
- Global solution for a one-dimensional model problem in thermally radiative magnetohydrodynamics
- Energy method for multi-dimensional balance laws with non-local dissipation
- The pointwise estimates of solutions for a model system of the radiating gas in multi-dimensions
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Decay estimates for the compressible Navier-Stokes equations in unbounded domains
- The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions
- Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
- Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves
- On the dynamics of gaseous stars
- On large-time behavior of solutions to the compressible Navier-Stokes equations in the half space in \(\mathbb R^3\)
- Global existence of solutions for the one-dimensional motions of a compressible viscous gas with radiation: an ``infrarelativistic model
- Lyapunov functional method for 1D radiative and reactive viscous gas dynamics
- Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half-space
- Shock profiles for non-equilibrium radiating gases
- The Green's function of the Navier-Stokes equations for gas dynamics in \(\mathbb R^3\)
- Initial value problem and relaxation limits of the hamer model for radiating gases in several space variables
- ASYMPTOTIC DECAY TOWARD THE PLANAR RAREFACTION WAVES FOR A MODEL SYSTEM OF THE RADIATING GAS IN TWO DIMENSIONS
- L1 asymptotic behavior of compressible, isentropic, viscous 1‐D flow
- STABILITY OF RAREFACTION WAVES FOR A MODEL SYSTEM OF A RADIATING GAS
- ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A MODEL SYSTEM OF RADIATING GAS WITH DISCONTINUOUS INITIAL DATA
- Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
- Convergence rates toward the travelling waves for a model system of the radiating gas
- NON-LINEAR EFFECTS ON THE PROPAGATION OF SOUND WAVES IN A RADIATING GAS