ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A MODEL SYSTEM OF RADIATING GAS WITH DISCONTINUOUS INITIAL DATA

DOI10.1142/S0218202500000598zbMath1215.76066OpenAlexW1997349789MaRDI QIDQ4798836

Shinya Nishibata

Publication date: 16 March 2003

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

Full work available at URL: https://doi.org/10.1142/s0218202500000598

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (7)

Periodic entropy solution to a conservation law with nonlocal source arising in radiative gas ⋮ Decay of a model system of radiating gas ⋮ Asymptotic stability of travelling wave to a hyperbolic-elliptic coupled system of the radiating gas on half line ⋮ The initial value problem for a multi-dimensional radiation hydrodynamics model with viscosity ⋮ Shock profiles for non-equilibrium radiating gases ⋮ The pointwise estimates of solutions for a model system of the radiating gas in multi-dimensions ⋮ Temperature fields in machining processes and heat transfer models

Cites Work

• The Riemann problem for the system \(u_ t+\sigma _ x=0\) and \((\sigma - f(u))_ t+(\sigma -\mu f(u))=0\)
• Nonlinear diffraction and caustic formation
• 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
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• NON-LINEAR EFFECTS ON THE PROPAGATION OF SOUND WAVES IN A RADIATING GAS
• Unnamed Item

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