Unique global solution of an initial-boundary value problem to a diffusion approximation model in radiation hydrodynamics
DOI10.3934/dcds.2015.35.3015zbMath1332.76046OpenAlexW2315879780MaRDI QIDQ255396
Publication date: 9 March 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2015.35.3015
initial-boundary value problema priori estimatesdiffusion approximationglobal solutioncompressible Navier-Stokes equationsradiation hydrodynamics
Waves and radiation in optics and electromagnetic theory (78A40) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (4)
Cites Work
- On a model in radiation hydrodynamics
- The nonrelativistic limit in radiation hydrodynamics. I: Weak entropy solutions for a model problem
- 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
- On the one-dimensional motion of the polytropic ideal gas non-fixed on the boundary
- Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
- Global solutions of nonlinear magnetohydrodynamics with large initial data
- On the dynamics of gaseous stars
- Global well-posedness and relaxation limits of a model for radiating gas.
- Numerical approximation of entropy solutions for hyperbolic integro-differential equations
- Lyapunov functional method for 1D radiative and reactive viscous gas dynamics
- Local existence and finite-time blow-up in multidimensional radiation hydrodynamics
- Shock profiles for non-equilibrium radiating gases
- A singular limit for hyperbolic-elliptic coupled systems in radiation hydrodynamics
- ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A MODEL SYSTEM OF RADIATING GAS WITH DISCONTINUOUS INITIAL DATA
- Critical Thresholds in a Convolution Model for Nonlinear Conservation Laws
- Global Existence and blowup phenomenon for a 1D radiation hydrodynamics model problem
- On The Motion of Gaseous Stars in The Presence of Radiation
- Shock Waves for a Model System of the Radiating Gas
- STABILITY OF RAREFACTION WAVES FOR A MODEL SYSTEM OF A RADIATING GAS
- A Coupled Model for Radiative Transfer: Doppler Effects, Equilibrium, and Nonequilibrium Diffusion Asymptotics
- NON-LINEAR EFFECTS ON THE PROPAGATION OF SOUND WAVES IN A RADIATING GAS
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Unique global solution of an initial-boundary value problem to a diffusion approximation model in radiation hydrodynamics