Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations
DOI10.1016/j.jde.2022.11.040zbMath1504.35232arXiv2205.13161OpenAlexW4310425327MaRDI QIDQ2111236
Danli Wang, Lingda Xu, Lingjun Liu
Publication date: 28 December 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.13161
Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Perturbations in context of PDEs (35B20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Waves in compressible fluids (76N30)
Cites Work
- Unnamed Item
- Unnamed Item
- Asymptotic behavior of solutions for the equations of a viscous heat- conductive gas
- Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations
- Contact discontinuity with general perturbations for gas motions
- Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier-Stokes system
- Nonlinear asymptotic stability of viscous shock profiles for conservation laws
- Pointwise decay to contact discontinuities for systems of viscous conservation laws
- Nonlinear diffusive phenomena of nonlinear hyperbolic systems
- On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary
- Stability of large-amplitude viscous shock under periodic perturbation for 1-d isentropic Navier-Stokes equations
- On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws
- Stability of a composite wave of two viscous shock waves for the full compressible Navier-Stokes equation
- Asymptotic stability of planar rarefaction waves under periodic perturbations for 3-d Navier-Stokes equations
- Stability of planar rarefaction waves for scalar viscous conservation law under periodic perturbations
- Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations
- Stability of superposition of viscous contact wave and rarefaction waves for compressible Navier-Stokes system
- Stability of the superposition of rarefaction wave and contact discontinuity for the non-isentropic Navier-Stokes-Poisson system
- Hyperbolic systems of conservation laws II
- On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
- Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
- A class of similarity solutions of the nonlinear diffusion equation
- Stability of the Superposition of a Viscous Contact Wave with Two Rarefaction Waves to the Bipolar Vlasov--Poisson--Boltzmann System
- Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations
- Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-D convex scalar viscous conservation laws
- Asymptotic Stability of the Superposition of Viscous Contact Wave with Rarefaction Waves for the Compressible Navier--Stokes--Maxwell Equations
- Asymptotic Stability of Shock Waves and Rarefaction Waves under Periodic Perturbations for 1-D Convex Scalar Conservation Laws
- Decay of solutions of systems of nonlinear hyperbolic conservation laws
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