Initial-boundary problem for the 1-D Euler-Boltzmann equations in radiation hydrodynamics

DOI10.1016/S0252-9602(17)30116-9zbMath1399.35268OpenAlexW2775706442MaRDI QIDQ1636993

Y. Aharonov

Publication date: 7 June 2018

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30116-9

zbMATH Keywords

global existenceGlimm schemeinitial-boundaryEuler-Boltzmann equations

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Weak solutions to PDEs (35D30) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (2)

Blowup and non-global existence of smooth solutions to the one-dimensional Euler–Boltzmann equations ⋮ Unnamed Item

Cites Work

• Existence of solutions to an initial-boundary value problem of multidimensional radiation hydrodynamics
• On local structural stability of one-dimensional shocks in radiation hydrodynamics
• Global weak solutions to 1D compressible Euler equations with radiation
• Quasilinear hyperbolic systems
• A version of the Glimm method based on generalized Riemann problems
• Local existence and finite-time blow-up in multidimensional radiation hydrodynamics
• Global weak solutions to the Euler-Boltzmann equations in radiation hydrodynamics
• Formation of singularities of solutions to the three-dimensional Euler–Boltzmann equations in radiation hydrodynamics
• Admissible solutions of hyperbolic conservation laws
• STABILITY OF RAREFACTION WAVES FOR A MODEL SYSTEM OF A RADIATING GAS
• DECAY RATES TO VISCOUS CONTACT WAVES FOR A 1D COMPRESSIBLE RADIATION HYDRODYNAMICS MODEL
• Global Existence of Steady Supersonic Potential Flow Past a Curved Wedge with a Piecewise Smooth Boundary
• Solutions in the large for nonlinear hyperbolic systems of equations
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