BV Estimates on Lax–Friedrichs' Scheme or a Model of Radiating Gas

DOI10.1080/00036810410001649674zbMath1058.65094OpenAlexW1976841530WikidataQ58256064 ScholiaQ58256064MaRDI QIDQ4818345

Tong Yang, Huijiang Zhao

Publication date: 28 September 2004

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810410001649674

zbMATH Keywords

\(L^1\)-stabilityradiating gashyperbolic-elliptic coupled systemBV estimatestime marching procedureLax Friedrich's scheme

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (7)

Periodic entropy solution to a conservation law with nonlocal source arising in radiative gas ⋮ Asymptotic Stability of Solutions to a Hyperbolic-Elliptic Coupled System of Radiating Gas on the Half Line ⋮ Large time behavior of solutions to a diffusion approximation radiation hydrodynamics model ⋮ Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations ⋮ Asymptotic behavior of solutions to a hyperbolic-elliptic coupled system in multi-dimensional radiating gas ⋮ Energy method for multi-dimensional balance laws with non-local dissipation ⋮ BV estimates on Lax-Friedrichs' scheme for a radiating gas model with nonlinear radiative inhomogeneity

Cites Work

• On the convergence of Godunov scheme for nonlinear hyperbolic systems
• Global well-posedness and relaxation limits of a model for radiating gas.
• Hyperbolic systems of conservation laws II
• 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
• BV estimates of Lax-Friedrichs’ scheme for a class of nonlinear hyperbolic conservation laws
• NON-LINEAR EFFECTS ON THE PROPAGATION OF SOUND WAVES IN A RADIATING GAS

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