Initial-boundary value problems for one-dimensional \(p\)th power viscous reactive gas with density-dependent viscosity

DOI10.1007/s00021-023-00846-zWikidataQ129191777 ScholiaQ129191777MaRDI QIDQ6192966

Yongkai Liao

Publication date: 12 March 2024

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorglobal existencedensity-dependent viscosity\(p\)th power viscous reactive gas

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Reaction effects in flows (76V05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Unnamed Item
• Global existence and exponential stability of spherically symmetric solutions to a compressible combustion radiative and reactive gas
• Asymptotic behavior of compressible \(p\)-th power Newtonian fluid with large initial data
• Global strong solution to compressible Navier-Stokes equations with density dependent viscosity and temperature dependent heat conductivity
• Global well-posedness and exponential stability of solutions for the viscous radiative and reactive gas
• Nonlinear stability of rarefaction waves for a viscous radiative and reactive gas with large initial perturbation
• Global solution to the one-dimensional equations for a self-gravitating viscous radiative and reactive gas
• One dimensional \(p\)-th power Newtonian fluid with temperature-dependent thermal conductivity
• Global existence and exponential stability for the pth power viscous reactive gas
• Global existence of large solutions to initial boundary value problems for a viscous, heat-conducting, one-dimensional real gas
• On the first initial-boundary value problem of compressible viscous fluid motion
• Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
• Temporal asymptotics for the \(p'\)th power Newtonian fluid in one space dimension
• Global solutions to a model for exothermically reacting, compressible flows with large discontinuous initial data
• On the Navier-Stokes equations for exothermically reacting compressible fluids
• On one-dimensional compressible Navier-Stokes equations for a reacting mixture in unbounded domains
• Global solutions to one-dimensional equations for a self-gravitating viscous radiative and reactive gas with density-dependent viscosity
• Global spherically symmetric flows for a viscous radiative and reactive gas in an exterior domain
• Global existence and large-time behavior of solutions to the Cauchy problem of one-dimensional viscous radiative and reactive gas
• On temporal asymptotics for the \(p\)th power viscous reactive gas
• Global strong solutions to compressible Navier-Stokes system with degenerate heat conductivity and density-depending viscosity
• Remarks on global smooth solutions to a 1D self-gravitating viscous radiative and reactive gas
• Nonlinear stability of rarefaction waves for one-dimensional compressible Navier-Stokes equations for a reacting mixture
• Global solvability of the free-boundary problem for one-dimensional motion of a self-gravitating viscous radiative and reactive gas
• Asymptotic behavior for the one-dimensionalpth power Newtonian fluid in unbounded domains
• Global solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gas
• One-dimensional Compressible Navier--Stokes Equations with Temperature Dependent Transport Coefficients and Large Data
• TEMPORALLY GLOBAL SOLUTION TO THE EQUATIONS FOR A SPHERICALLY SYMMETRIC VISCOUS RADIATIVE AND REACTIVE GAS OVER THE RIGID CORE
• REGULARITY AND EXPONENTIAL STABILITY OF THE pth NEWTONIAN FLUID IN ONE SPACE DIMENSION
• Global Solutions to the Compressible Navier–Stokes Equations for a Reacting Mixture
• Optimal time decay of the compressible Navier–Stokes equations for a reacting mixture
• Remarks on global existence and exponential stability of solutions for the viscous radiative and reactive gas with large initial data
• Initial–boundary-value problems for one-dimensional compressible Navier–Stokes equations with degenerate transport coefficients

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