Global existence and asymptotic behavior of solutions for one‐dimensional infrarelativistic model of a compressible viscous gas with radiation
DOI10.1002/mma.7760OpenAlexW3210403668MaRDI QIDQ6188936
Xin Liu, Xiao-lei Dong, Yu-ming Qin
Publication date: 12 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.7760
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Waves and radiation in optics and electromagnetic theory (78A40) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Radiative transfer in astronomy and astrophysics (85A25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20) Radiative heat transfer (80A21)
Cites Work
- Unnamed Item
- Analytic inequalities and their applications in PDEs
- Large-time behavior of the motion of a viscous heat-conducting one-dimensional gas coupled to radiation
- Large-time behavior of solutions for the one-dimensional infrarelativistic model of a compressible viscous gas with radiation
- Nonlinear parabolic-hyperbolic coupled systems and their attractors
- Global weak solutions to the 1D compressible Navier-Stokes equations with radiation
- On initial boundary value problems for a viscous, heat-conducting, one- dimensional real gas
- Global existence and asymptotic behavior of spherically symmetric solutions for the multi-dimensional infrarelativistic model
- Global existence of solutions for the one-dimensional motions of a compressible viscous gas with radiation: an ``infrarelativistic model
- Large-time behavior of solutions for the \(1{D}\) viscous heat-conducting gas with radiation: the pure scattering case
- Local existence and finite-time blow-up in multidimensional radiation hydrodynamics
- Shock profiles for non-equilibrium radiating gases
- Etude théorique et numérique d'une hiérarchie de modèles aux moments pour le transfert radiatif
- Integral and Discrete Inequalities and Their Applications