Asymptotic stability of planar rarefaction waves under periodic perturbations for 3-d Navier-Stokes equations

DOI10.1016/J.AIM.2022.108452zbMath1495.35141OpenAlexW4229454054MaRDI QIDQ2671922

Lingda Xu, Qian Yuan, Fei-Min Huang

Publication date: 3 June 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2022.108452

zbMATH Keywords

nonlinear stabilitycompressible Navier-Stokes equationsperiodic perturbationplanar rarefaction wave

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Nonlinear effects in hydrodynamic stability (76E30) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Navier-Stokes equations (35Q30) Perturbations in context of PDEs (35B20) Compressible Navier-Stokes equations (76N06)

Related Items (1)

Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations

Cites Work

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• Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations
• Contact discontinuity with general perturbations for gas motions
• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
• Nonlinear stability of viscous shock waves
• Pointwise decay to contact discontinuities for systems of viscous conservation laws
• Stability of planar rarefaction wave to 3D full compressible Navier-Stokes equations
• Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
• Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems
• On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws
• Stability of planar rarefaction waves for scalar viscous conservation law under periodic perturbations
• A counterexample to well-posedness of entropy solutions to the compressible Euler system
• Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
• Hyperbolic systems of conservation laws II
• STABILITY OF RAREFACTION WAVES AND VACUUM STATES FOR THE MULTIDIMENSIONAL EULER EQUATIONS
• Nonlinear compressible vortex sheets in two space dimensions
• The existence of multidimensional shock fronts
• Resonantly Interacting Weakly Nonlinear Hyperbolic Waves. I. A Single Space Variable
• 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
• Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws
• Pointwise convergence to shock waves for viscous conservation laws
• Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations
• L^p ENERGY METHOD FOR MULTI-DIMENSIONAL VISCOUS CONSERVATION LAWS AND APPLICATION TO THE STABILITY OF PLANAR WAVES
• Stability of Planar Rarefaction Wave to Two-Dimensional Compressible Navier--Stokes Equations
• Asymptotics toward the planar rarefaction wave for viscous conservation law in two space dimensions
• Nonlinear stability of shock waves for viscous conservation laws
• Stability of small-amplitude shock profiles of symmetric hyperbolic-parabolic systems
• The stability of multidimensional shock fronts
• The stability of compressible vortex sheets in two space dimensions
• ASYMPTOTIC DECAY TOWARD THE PLANAR RAREFACTION WAVES OF SOLUTIONS FOR VISCOUS CONSERVATION LAWS IN SEVERAL SPACE DIMENSIONS
• Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-D convex scalar viscous conservation laws
• Shocks make the Riemann problem for the full Euler system in multiple space dimensions ill-posed
• Asymptotic Stability of Shock Waves and Rarefaction Waves under Periodic Perturbations for 1-D Convex Scalar Conservation Laws
• Shock waves in conservation laws with physical viscosity
• Global Ill‐Posedness of the Isentropic System of Gas Dynamics
• Decay of solutions of systems of nonlinear hyperbolic conservation laws
• Asymptotic Stability of Planar Rarefaction Waves for Viscous Conservation Laws in Several Dimensions

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