Local existence and Serrin-type blow-up criterion for strong solutions to the radiation hydrodynamic equations
DOI10.1142/S0219891620500149zbMath1455.35198OpenAlexW3097192703WikidataQ115245193 ScholiaQ115245193MaRDI QIDQ3387942
Publication date: 8 January 2021
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219891620500149
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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Boltzmann equations (35Q20) Initial value problems for mixed-type systems of PDEs (35M31) Radiative heat transfer (80A21)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- 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 1D compressible Euler equations with radiation
- Global weak solutions to the 1D compressible Navier-Stokes equations with radiation
- Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum
- Serrin-type blowup criterion for full compressible Navier-Stokes system
- Global existence for weak solutions of the Cauchy problem in a model of radiation hydrodynamics
- Diffusion limits in a model of radiative flow
- Existence results and blow-up criterion of compressible radiation hydrodynamic equations
- Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum
- Formation of singularities in solutions to the compressible radiation hydrodynamics equations with vacuum
- Local existence and finite-time blow-up in multidimensional radiation hydrodynamics
- Global smooth solution of the Cauchy problem for a model of a radiative flow
- Global Solutions to the Three-Dimensional Full Compressible Navier--Stokes Equations with Vacuum at Infinity in Some Classes of Large Data
- Serrin-Type Criterion for the Three-Dimensional Viscous Compressible Flows
- Formation of singularities of solutions to the three-dimensional Euler–Boltzmann equations in radiation hydrodynamics
- A blow-up criterion for compressible viscous heat-conductive flows
This page was built for publication: Local existence and Serrin-type blow-up criterion for strong solutions to the radiation hydrodynamic equations
