On one-dimensional compressible Navier-Stokes equations for a reacting mixture in unbounded domains

DOI10.1007/s00033-017-0851-3zbMath1378.35220arXiv1610.07076OpenAlexW2542658292WikidataQ59613477 ScholiaQ59613477MaRDI QIDQ1690527

Siran Li

Publication date: 19 January 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.07076

zbMATH Keywords

Navier-Stokes equationscombustionglobal existenceuniform estimateslarge-time behaviourcompressiblereacting mixture

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (15)

The outflow problem for the radiative and reactive gas: existence, stability and convergence rate ⋮ Global well-posedness and time-decay estimates for compressible Navier-Stokes equations with reaction diffusion ⋮ Asymptotic stability of a viscous contact wave for the one-dimensional compressible Navier-Stokes equations for a reacting mixture ⋮ Zero dissipation limit to a rarefaction wave with a vacuum for a compressible, heat conducting reacting mixture ⋮ Decay rate to contact discontinuities for the one-dimensional compressible Navier–Stokes equations with a reacting mixture ⋮ Decay rate to contact discontinuities for the one-dimensional compressible Euler-Fourier system with a reacting mixture ⋮ Nonlinear stability of rarefaction waves to the compressible Navier-Stokes equations for a reacting mixture with zero heat conductivity ⋮ 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 ⋮ Pointwise space–time estimates for compressible Navier–Stokes equations for a reacting mixture ⋮ Asymptotic stability of a composite wave to the one-dimensional compressible Navier-Stokes equations for a reacting mixture ⋮ Asymptotic stability of the stationary solution to an outflow problem for the compressible Navier-Stokes equations for a reacting mixture ⋮ Global spherically symmetric flows for a viscous radiative and reactive gas in an exterior domain ⋮ Nonlinear stability of rarefaction waves for one-dimensional compressible Navier-Stokes equations for a reacting mixture ⋮ Optimal time decay of the compressible Navier–Stokes equations for a reacting mixture

Cites Work

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