Asymptotic Behavior of Solutions Toward the Viscous Shock Waves to the Cauchy Problem for the Scalar Conservation Law with Nonlinear Flux and Viscosity
From MaRDI portal
Publication:4603735
DOI10.1137/17M1118798zbMath1387.35349MaRDI QIDQ4603735
Publication date: 19 February 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
asymptotic behaviorviscous conservation lawviscous shock wavenonconvex nonlinearitynonlinear flux and viscosity
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Hyperbolic conservation laws (35L65)
Related Items (8)
Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin–Bona–Mahony–Burgers equation with dissipative term ⋮ Time decay rate of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear viscosity and discontinuous initial data ⋮ Global asymptotics toward the rarefaction waves for solutions to the Cauchy problem of the scalar conservation law with nonlinear viscosity ⋮ Asymptotic behavior of solutions toward the constant state to the Cauchy problem for the non-viscous diffusive dispersive conservation law ⋮ Global structure of solutions toward the rarefaction waves for the Cauchy problem of the scalar conservation law with nonlinear viscosity ⋮ Global asymptotic stability of the rarefaction waves to the Cauchy problem for the scalar non-viscous diffusive dispersive conservation laws ⋮ Time decay rate of solutions toward the viscous shock waves under periodic perturbations for the scalar conservation law with nonlinear viscosity ⋮ Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the scalar diffusive dispersive conservation laws
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the existence and regularity of solutions for degenerate power-law fluids.
- \(L ^1\) convergence to the Barenblatt solution for compressible Euler equations with damping
- Analysis of a Ladyzhenskaya model for incompressible viscous flow
- Some nonlinear degenerate diffusion equations related to population dynamics
- Decay properties of solutions to the Cauchy problem for the scalar conservation law with nonlinearly degenerate viscosity
- Large-time behavior of solutions to an initial-boundary value problem on the half line for scalar viscous conservation law
- On the diffusion of biological populations
- Source-type solutions for equations of nonstationary filtration
- Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
- Nonlinear stability of viscous shock profile for a non-convex system of viscoelasticity
- A note on the stability of the rarefaction wave of the Burgers equation
- Decay properties of solutions toward a multiwave pattern to the Cauchy problem for the scalar conservation law with degenerate flux and viscosity
- Linear evolution equations of hyperbolic type. II
- Non-Newtonian Fluids: An Introduction
- [https://portal.mardi4nfdi.de/wiki/Publication:2964955 Pore-Scale Modeling of Navier-Stokes Flow in Distensible Networks and Porous Media]
- Asymptotic Behavior of Solutions to the Cauchy Problem for the Scalar Viscous Conservation Law with Partially Linearly Degenerate Flux
- Asymptotic Behavior for a Nonlinear Degenerate Diffusion Equation in Population Dynamics
- Hyperbolic systems of conservation laws II
- Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
- LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE
- Asymptotics toward the rarefaction wave of the solutions of burgers' equation with nonlinear degenerate viscosity
- Stability of shock profiles in viscoelasticity with non‐convex constitutive relations
- Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
- Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity
- Asymptotic Behavior of Solutions Toward a Multiwave Pattern to the Cauchy Problem for the Scalar Conservation Law with the Ostwald--de Waele-Type Viscosity
- DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT
This page was built for publication: Asymptotic Behavior of Solutions Toward the Viscous Shock Waves to the Cauchy Problem for the Scalar Conservation Law with Nonlinear Flux and Viscosity