Existence results for compressible radiation hydrodynamic equations with vacuum
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Publication:2339869
DOI10.3934/cpaa.2015.14.1023zbMath1314.35103arXiv1312.5337OpenAlexW2963735868MaRDI QIDQ2339869
Publication date: 14 April 2015
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.5337
PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35) Boltzmann equations (35Q20) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)
Related Items (6)
Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum ⋮ On regular solutions to compressible radiation hydrodynamic equations with far field vacuum ⋮ Global existence of smooth solutions for the compressible viscous fluid flow with radiation in \(\mathbb{R}^3\). ⋮ Existence results for the radiation hydrodynamic equations with degenerate viscosity coefficients and vacuum ⋮ On blow-up of regular solutions to the isentropic Euler and Euler-Boltzmann equations with vacuum ⋮ LTE and non-LTE solutions in gases interacting with radiation
Cites Work
- Unnamed Item
- Unnamed Item
- On regular solutions of the \(3\)D compressible isentropic Euler-Boltzmann equations with vacuum
- Large-time behavior of the motion of a viscous heat-conducting one-dimensional gas coupled to radiation
- On a model in radiation hydrodynamics
- Existence results for viscous polytropic fluids with vacuum
- Global weak solutions to the 1D compressible Navier-Stokes equations with radiation
- Compact sets in the space \(L^ p(0,T;B)\)
- Unique solvability of the initial boundary value problems for compressible viscous fluids.
- Strong solutions of the Navier-Stokes equations for isentropic compressible fluids
- Formation of singularities in solutions to the compressible radiation hydrodynamics equations with vacuum
- Local existence and finite-time blow-up in multidimensional radiation hydrodynamics
- Blow-up of viscous heat-conducting compressible flows
- On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
- Formation of singularities of solutions to the three-dimensional Euler–Boltzmann equations in radiation hydrodynamics
- Sur la solution à support compact de l’equation d’Euler compressible
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