Global solution to the one-dimensional equations for a self-gravitating viscous radiative and reactive gas

From MaRDI portal
Publication:872012

DOI10.1016/j.jde.2006.09.023zbMath1119.35070OpenAlexW1973350356MaRDI QIDQ872012

Atusi Tani, Morimichi Umehara

Publication date: 27 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.jde.2006.09.023




Related Items (62)

Global strong solutions to planar radiative magnetohydrodynamic equations with density-dependent viscosity and degenerate heat-conductivityNonlinear stability of rarefaction waves for a viscous radiative and reactive gas with large initial perturbationThe outflow problem for the radiative and reactive gas: existence, stability and convergence rateUniversal attractor for nonlinear one-dimensional compressible and radiative MHD flowGlobal existence and asymptotic behavior of solutions to a free boundary problem for the 1D viscous radiative and reactive gasGlobal solvability of the free-boundary problem for one-dimensional motion of a self-gravitating viscous radiative and reactive gasGlobal well-posedness and time-decay estimates for compressible Navier-Stokes equations with reaction diffusionGlobal existence and exponential stability of spherically symmetric solutions to a compressible combustion radiative and reactive gasDecay rates to viscous contact wave for the one-dimensional compressible Navier-Stokes equations with radiationRemarks on the Cauchy problem of the one-dimensional viscous radiative and reactive gasAsymptotic stability of a viscous contact wave for the one-dimensional compressible Navier-Stokes equations for a reacting mixtureRegularity of large solutions for the compressible magnetohydrodynamic equationsGlobal classical large solutions with vacuum to 1D compressible MHD with zero resistivityRemarks on global existence and exponential stability of solutions for the viscous radiative and reactive gas with large initial dataLarge-time behavior of global solutions to the Cauchy problem of one-dimensional viscous and heat-conducting ionized gasGlobal Regularity for a Radiation Hydrodynamics Model with Viscosity and Thermal ConductivityGlobal well-posedness and large-time behavior for the equilibrium diffusion model in radiation hydrodynamicsDecay rate to contact discontinuities for the one-dimensional compressible Navier–Stokes equations with a reacting mixtureDecay rate to contact discontinuities for the one-dimensional compressible Euler-Fourier system with a reacting mixtureNonlinear stability of rarefaction waves to the compressible Navier-Stokes equations for a reacting mixture with zero heat conductivityAsymptotic Behavior of Solutions to One-Dimensional Compressible Navier-Stokes-Poisson Equations with Large Initial DataStability of viscous contact wave for the radiative and reactive gas with free boundaryAsymptotic stability of viscous contact wave to a radiation hydrodynamic limit modelInitial-boundary value problems for one-dimensional \(p\)th power viscous reactive gas with density-dependent viscosityPointwise space–time estimates for compressible Navier–Stokes equations for a reacting mixtureExistence of solutions to an initial-boundary value problem of multidimensional radiation hydrodynamicsGlobal existence of solutions for the 1-D radiative and reactive viscous gas dynamics.Asymptotic stability of a composite wave to the one-dimensional compressible Navier-Stokes equations for a reacting mixtureAsymptotic stability of the stationary solution to an outflow problem for the compressible Navier-Stokes equations for a reacting mixtureTEMPORALLY GLOBAL SOLUTION TO THE EQUATIONS FOR A SPHERICALLY SYMMETRIC VISCOUS RADIATIVE AND REACTIVE GAS OVER THE RIGID COREGlobal solutions to the one-dimensional compressible Navier-Stokes equation with radiationGlobal existence and exponential stability for a 1D compressible and radiative MHD flowGlobal solutions of real compressible reactive gas with density-dependent viscosity and self-gravitation for higher-order kineticsGlobal existence of strong solutions to the Cauchy problem for a 1D radiative gasThe initial value problem for a multi-dimensional radiation hydrodynamics model with viscosityGlobal spherically symmetric flows for a viscous radiative and reactive gas in an exterior domainGlobal solution to the one-dimensional equations for a self-gravitating thermal radiative magnetohydrodynamicsGlobal existence of solution for thermally radiative magnetohydrodynamic equations with the displacement currentGlobal existence and asymptotic behavior of cylindrically symmetric solutions for the 3D infrarelativistic model with radiationGlobal solution for a one-dimensional model problem in thermally radiative magnetohydrodynamicsOne-Dimensional Viscous and Heat-Conducting Ionized Gas with Density-dependent ViscosityAsymptotic stability of rarefaction waves to a radiation hydrodynamic limit modelUnique global solution to the thermally radiative magnetohydrodynamics equationsGlobal existence and large-time behavior of solutions to the Cauchy problem of one-dimensional viscous radiative and reactive gasA regularizing effect of radiation in one-dimensional compressible MHD equationsRemarks on global smooth solutions to a 1D self-gravitating viscous radiative and reactive gasFREE-BOUNDARY PROBLEM OF THE ONE-DIMENSIONAL EQUATIONS FOR A VISCOUS AND HEAT-CONDUCTIVE GASEOUS FLOW UNDER THE SELF-GRAVITATIONGlobal strong solution for compressible and radiative MHD flow with density-dependent viscosity and degenerate heat-conductivity in unbounded domainsUniform boundness of global solutions for a n-dimensional spherically symmetric combustion modelGlobal stability of rarefaction waves for a viscous radiative and reactive gas with temperature-dependent viscosityGlobal existence of solutions for a fluid model of a neutron starGlobal well-posedness and exponential stability of solutions for the viscous radiative and reactive gasGlobal smooth solutions for the compressible viscous and heat-conductive gasOne-dimensional viscous radiative gas with temperature dependent viscosityGlobal existence and asymptotic behavior of spherically symmetric solutions for the multi-dimensional infrarelativistic modelGlobal solutions of a radiative and reactive gas with self-gravitation for higher-order kineticsOptimal time decay of the compressible Navier–Stokes equations for a reacting mixtureGlobal strong solutions for viscous radiative gas with degenerate temperature dependent heat conductivity in one-dimensional unbounded domainsGlobal smooth solutions for 1D thermally radiative magnetohydrodynamicsAsymptotic behavior of solutions of initial-boundary value problems for 1D viscous and heat-conducting ionized gasGlobal solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gasUnique global solution of an initial-boundary value problem to a diffusion approximation model in radiation hydrodynamics



Cites Work


This page was built for publication: Global solution to the one-dimensional equations for a self-gravitating viscous radiative and reactive gas