Global weak solutions to the Euler-Boltzmann equations in radiation hydrodynamics

DOI10.1090/S0033-569X-2011-01227-2zbMath1348.76194MaRDI QIDQ3225357

Peng Jiang, Dehua Wang

Publication date: 19 March 2012

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Euler equationsBoltzmann equationcompensated compactnessGodunov schemeradiation hydrodynamicsglobal weak entropy solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Weak solutions to PDEs (35D30) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (14)

On the steady equations for compressible radiative gas ⋮ Initial-boundary problem for the 1-D Euler-Boltzmann equations in radiation hydrodynamics ⋮ Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum ⋮ Blowup and non-global existence of smooth solutions to the one-dimensional Euler–Boltzmann equations ⋮ Local existence and singularities formation for isothermal relativistic radiation hydrodynamics equations ⋮ Unnamed Item ⋮ Global weak solutions to the non-relativistic radiation hydrodynamical equations with isothermal fluids ⋮ INITIAL-BOUNDARY VALUE PROBLEMS AND FORMATION OF SINGULARITIES FOR ONE-DIMENSIONAL NON-RELATIVISTIC RADIATION HYDRODYNAMIC EQUATIONS ⋮ On an incompressible model in radiation hydrodynamics ⋮ Formation of singularities of solutions to the IBVP of the Euler-Boltzmann equations ⋮ Global weak solutions to the 1D compressible Navier-Stokes equations with radiation ⋮ Smooth solutions for one-dimensional relativistic radiation hydrodynamic equations ⋮ On blow-up of regular solutions to the isentropic Euler and Euler-Boltzmann equations with vacuum ⋮ On some models in radiation hydrodynamics

Cites Work

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