Nonlinear stability of viscous shock profiles for a hyperbolic system with Cattaneo's law in one-dimensional half space
DOI10.1002/MMA.9862zbMATH Open1547.35445WikidataQ128987038 ScholiaQ128987038MaRDI QIDQ6551586
Lili Fan, Yinsong Bai, Huijiang Zhao
Publication date: 7 June 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
initial-boundary value problemboundary effectweighted energy methodasymptotic nonlinear stabilitysmall initial perturbationviscous shock profileshyperbolic system with Cattaneo's law
Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65)
Cites Work
- Title not available (Why is that?)
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- \(L^{2}\)-contraction for shock waves of scalar viscous conservation laws
- Asymptotic behavior for scalar viscous conservation laws with boundary effect
- Convergence rate to the nonlinear waves for viscous conservation laws on the half line
- Hardy type inequality and application to the stability of degenerate stationary waves
- On the stability of damped Timoshenko systems: Cattaneo versus Fourier law
- The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit
- Rarefactions and large time behavior for parabolic equations and monotone schemes
- Mixed problems for quasi-linear symmetric hyperbolic systems
- On the constitutive relations for second sound in elastic solids
- Convergence to travelling fronts of solutions of the \(p\)-system with viscosity in the presence of a boundary
- Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
- Propagation of a stationary shock layer in the presence of a boundary
- Nonlinear stability of viscous shock profile for a non-convex system of viscoelasticity
- Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance.
- Viscous shock profile and singular limit for hyperbolic systems with Cattaneo's law
- Nonlinear stability of rarefaction waves for a hyperbolic system with Cattaneo's law
- \(L^2\)-type contraction for shocks of scalar viscous conservation laws with strictly convex flux
- Asymptotic stability of rarefaction waves for a hyperbolic system of balance laws
- \(L^2\)-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws
- Stability of planar rarefaction waves for scalar viscous conservation law under periodic perturbations
- Compressible Navier-Stokes equations with hyperbolic heat conduction
- Asymptotic Behavior of Solutions to the Cauchy Problem for the Scalar Viscous Conservation Law with Partially Linearly Degenerate Flux
- Thermoelasticity with Second Sound: A Review
- Pointwise Green's function approach to stability for scalar conservation laws
- Stability of travelling waves for non‐convex scalar viscous conservation laws
- Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
- Propagation of Viscous Shock Waves Away from the Boundary
- Asymptotic behavior of multidimensional scalar viscous shock fronts
- Hyperbolic and Viscous Conservation Laws
- Shock Waves
- Viscous Scalar Rarefaction Waves
- Asymptotic Stability of Planar Rarefaction Waves for Viscous Conservation Laws in Several Dimensions
- The \(L^1\)-stability of boundary layers for scalar viscous conservation laws
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