Optimal time decay of the compressible Navier–Stokes equations for a reacting mixture

DOI10.1088/1361-6544/abf363zbMath1469.76103OpenAlexW3185268886MaRDI QIDQ5003122

Changjiang Zhu, Guangyi Hong, Zefu Feng

Publication date: 29 July 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/abf363

zbMATH Keywords

convergenceCauchy problemasymptotic stabilityenergy estimateglobal smooth solutionoptimal decay ratelarge-time solution behaviour

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Reaction effects in flows (76V05) Flow control and optimization for compressible fluids and gas dynamics (76N25) Compressible Navier-Stokes equations (76N06)

Related Items

Optimal large-time behavior of the full 3D compressible MHD system, Zero dissipation limit to a rarefaction wave with a vacuum for a compressible, heat conducting reacting mixture, Global symmetric solutions of compressible Navier-Stokes equations for a reacting mixture in unbounded domains, Initial-boundary value problems for one-dimensional \(p\)th power viscous reactive gas with density-dependent viscosity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal time decay of the compressible micropolar fluids
• Global existence and exponential stability of spherically symmetric solutions to a compressible combustion radiative and reactive gas
• Global existence and optimal \(L^2\) decay rate for the strong solutions to the compressible fluid models of Korteweg type
• Global well-posedness and exponential stability of solutions for the viscous radiative and reactive gas
• Global solution to the one-dimensional equations for a self-gravitating viscous radiative and reactive gas
• Optimal decay rate of the compressible Navier-Stokes-Poisson system in \(\mathbb R^3\)
• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions
• Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
• Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves
• Global entropy solutions to exothermically reacting, compressible Euler equations
• Global solutions to a model for exothermically reacting, compressible flows with large discontinuous initial data
• Long-time behavior of solution to the compressible micropolar fluids with external force
• 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
• Global solution for the mixture of real compressible reacting flows in combustion
• Optimal decay rates of the compressible magnetohydrodynamic equations
• One-dimensional viscous radiative gas with temperature dependent viscosity
• Global solvability of the free-boundary problem for one-dimensional motion of a self-gravitating viscous radiative and reactive gas
• Lyapunov functional method for 1D radiative and reactive viscous gas dynamics
• On the motion of a viscous compressible radiative-reacting gas
• On the large-time behavior of 1D radiative and reactive viscous flows for higher-order kinetics
• Global solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gas
• GREEN'S FUNCTION AND LARGE TIME BEHAVIOR OF THE NAVIER–STOKES–MAXWELL SYSTEM
• OPTIMAL DECAY RATES TO CONSERVATION LAWS WITH DIFFUSION-TYPE TERMS OF REGULARITY-GAIN AND REGULARITY-LOSS
• Global smooth solutions for the compressible viscous and heat-conductive gas
• Global existence of small solutions to a class of nonlinear evolution equations
• Large-time behaviour of solutions to hyperbolic–parabolic systems of conservation laws and applications
• Global Solutions to the Compressible Navier–Stokes Equations for a Reacting Mixture
• Equivalence of low frequency stability conditions for multidimensional detonations in three models of combustion
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
• OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES
• Remarks on global existence and exponential stability of solutions for the viscous radiative and reactive gas with large initial data
• Singular limits in thermodynamics of viscous fluids