Smooth solutions for one-dimensional relativistic radiation hydrodynamic equations

DOI10.1002/mma.3422zbMath1339.35239OpenAlexW2090720998MaRDI QIDQ2795268

Peng Jiang, Yongcai Geng

Publication date: 18 March 2016

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

Full work available at URL: https://doi.org/10.1002/mma.3422

zbMATH Keywords

one-dimensionalsmooth solutionsrelativistic equations of radiation hydrodynamics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler equations (35Q31) Boltzmann equations (35Q20)

Related Items (1)

Local existence and singularities formation for isothermal relativistic radiation hydrodynamics equations

Cites Work

• Unnamed Item
• Existence of solutions to an initial-boundary value problem of multidimensional radiation hydrodynamics
• Special relativistic effects revealed in the Riemann problem for three-dimensional relativistic Euler equations
• On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation.
• The nonrelativistic limit in radiation hydrodynamics. I: Weak entropy solutions for a model problem
• Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations
• Formation of singularities in solutions to nonlinear hyperbolic equations
• Formation of singularities in three-dimensional compressible fluids
• Conservation laws for relativistic fluid dynamics
• 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
• DISSIPATIVE ENTROPY AND GLOBAL SMOOTH SOLUTIONS IN RADIATION HYDRODYNAMICS AND MAGNETOHYDRODYNAMICS
• The special relativistic shock tube
• 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
• INITIAL-BOUNDARY VALUE PROBLEMS AND FORMATION OF SINGULARITIES FOR ONE-DIMENSIONAL NON-RELATIVISTIC RADIATION HYDRODYNAMIC EQUATIONS
• Relativistic Rankine-Hugoniot Equations

This page was built for publication: Smooth solutions for one-dimensional relativistic radiation hydrodynamic equations