Stability of rarefaction waves under periodic perturbation for a rate-type viscoelastic system

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations
Pointwise decay to contact discontinuities for systems of viscous conservation laws
Nonlinear stability of rarefaction waves for a rate-type viscoelastic system
On modelling phase transitions by means of rate-type constitutive equations. Shock wave structure
Zero relaxation limit for piecewise smooth solutions to a rate-type viscoelastic system in the presence of shocks
Nonlinear stability of two-mode shock profiles for a rate-type viscoelastic system with relaxation
Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations
Stability of large-amplitude viscous shock under periodic perturbation for 1-d isentropic Navier-Stokes equations
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
Nonlinear stability of shock waves for viscous conservation laws
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 stability of shock profiles for a rate-type viscoelastic system with relaxation
Shock waves in conservation laws with physical viscosity
Vanishing viscosity limit to the planar rarefaction wave with vacuum for 3-D full compressible Navier-Stokes equations with temperature-dependent transport coefficients

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