Global Existence and blowup phenomenon for a 1D radiation hydrodynamics model problem

DOI10.1002/mma.1593zbMath1237.35112OpenAlexW2048735486MaRDI QIDQ2882438

Christian Rohde, Feng Xie

Publication date: 4 May 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1593

zbMATH Keywords

Burgers equationglobal existenceblowup phenomenonradiation transfer equation with scattering

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Blow-up in context of PDEs (35B44)

Related Items (3)

Smooth solutions to diffusion approximation radiation hydrodynamics equations ⋮ Large time behavior of solutions to a diffusion approximation radiation hydrodynamics model ⋮ Unique global solution of an initial-boundary value problem to a diffusion approximation model in radiation hydrodynamics

Cites Work

• Asymptotic behavior of solutions to a hyperbolic-elliptic coupled system in multi-dimensional radiating gas
• \(L^1\)-stability of constants in a model for radiating gases
• The nonrelativistic limit in radiation hydrodynamics. I: Weak entropy solutions for a model problem
• Decay rates to the planar rarefaction waves for a model system of the radiating gas in \(n\) dimensions
• The pointwise estimates of solutions for a model system of the radiating gas in multi-dimensions
• Global well-posedness and relaxation limits of a model for radiating gas.
• Global existence of solutions for the one-dimensional motions of a compressible viscous gas with radiation: an ``infrarelativistic model
• Local existence and finite-time blow-up in multidimensional radiation hydrodynamics
• Critical Thresholds in a Convolution Model for Nonlinear Conservation Laws
• Formation of singularities of solutions to the three-dimensional Euler–Boltzmann equations in radiation hydrodynamics
• DISSIPATIVE ENTROPY AND GLOBAL SMOOTH SOLUTIONS IN RADIATION HYDRODYNAMICS AND MAGNETOHYDRODYNAMICS
• Shock Waves for a Model System of the Radiating Gas
• CAUCHY PROBLEM FOR A MODEL SYSTEM OF THE RADIATING GAS: WEAK SOLUTIONS WITH A JUMP AND CLASSICAL SOLUTIONS
• STABILITY OF RAREFACTION WAVES FOR A MODEL SYSTEM OF A RADIATING GAS
• NON-LINEAR EFFECTS ON THE PROPAGATION OF SOUND WAVES IN A RADIATING GAS

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