The Low Mach Number Limit for a Barotropic Model of Radiative Flow

DOI10.1137/15M1009081zbMath1339.35236OpenAlexW2302067848MaRDI QIDQ2793839

Raphaël Danchin, Bernard Ducomet

Publication date: 17 March 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1009081

zbMATH Keywords

Navier-Stokes systemlow Mach numberradiation hydrodynamicsdispersive estimatescritical regularityP1-approximation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Strong solutions to PDEs (35D35)

Related Items (13)

Local existence for an isentropic compressible Navier-Stokes-$P1$ approximate model arising in radiation hydrodynamics ⋮ Global existence results and asymptotic limits for a model of radiative fluid ⋮ Local well-posedness for a compressible full MHD-\(P1\) approximate model arising in radiation MHD ⋮ Local well‐posedness and blow‐up criterion for a compressible Navier‐Stokes‐P1 approximate model arising in radiation hydrodynamics ⋮ Low Mach number limit of the global solution to the compressible Navier-Stokes system for large data in the critical Besov space ⋮ The combined non-equilibrium diffusion and low Mach number limits of a model arising in radiation magnetohydrodynamics ⋮ Nonrelativistic limit of the Euler‐HMP_N approximation models arising in radiation hydrodynamics ⋮ Diffusive limits for a barotropic model of radiative flow ⋮ Existence of strong solutions with critical regularity to a polytropic model for radiating flows ⋮ Uniform regularity for an isentropic compressible MHD-$P1$ approximate model arising in radiation hydrodynamics ⋮ Uniform estimates for a compressible full MHD-\(P1\) approximate model arising in radiation MHD ⋮ Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum ⋮ Nonequilibrium-Diffusion Limit of the Compressible Euler-P1 Approximation Radiation Model at Low Mach Number

Cites Work

• Unnamed Item
• Diffusive limits for a barotropic model of radiative flow
• On a model in radiation hydrodynamics
• Simplified radiative models for low-Mach number reactive flows
• On a simplified model for radiating flows
• Low Mach number limit for a model of radiative flow
• A consistent approach for the coupling of radiation and hydrodynamics at low Mach number
• On the uniqueness in critical spaces for compressible Navier-Stokes equations
• Radiation models for thermal flows at low Mach number
• Fourier Analysis and Nonlinear Partial Differential Equations
• Zero Mach number limit in critical spaces for compressible Navier–Stokes equations
• Une approche locale de la limite incompressible
• Singular limits in thermodynamics of viscous fluids

This page was built for publication: The Low Mach Number Limit for a Barotropic Model of Radiative Flow