Existence of solutions to an initial-boundary value problem of multidimensional radiation hydrodynamics

DOI10.1016/j.jde.2011.05.034zbMath1229.76112OpenAlexW2028324862MaRDI QIDQ635436

Peng Jiang, Yaguang Wang

Publication date: 19 August 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.05.034

zbMATH Keywords

linearizationcompatibility conditionslocal well-posednesssmooth solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Waves and radiation in optics and electromagnetic theory (78A40) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (9)

Initial-boundary problem for the 1-D Euler-Boltzmann equations in radiation hydrodynamics ⋮ Blowup and non-global existence of smooth solutions to the one-dimensional Euler–Boltzmann equations ⋮ Unnamed Item ⋮ Formation of singularities of solutions to the three-dimensional non-relativistic radiation hydrodynamic equations ⋮ 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 ⋮ Formation of singularities of solutions to the IBVP of the Euler-Boltzmann equations ⋮ 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

Cites Work

• The nonrelativistic limit in radiation hydrodynamics. I: Weak entropy solutions for a model problem
• Global solution to the one-dimensional equations for a self-gravitating viscous radiative and reactive gas
• On the existence of global solutions of nonlinear wave equations
• Nonlinear geometric optics for shock waves. II: System case
• Local existence and finite-time blow-up in multidimensional radiation hydrodynamics
• Symmetric positive linear differential equations
• Local boundary conditions for dissipative symmetric linear differential operators
• On The Motion of Gaseous Stars in The Presence of Radiation
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item

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