Viscous shocks and long-time behavior of scalar conservation laws

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Initial value problems for second-order parabolic equations (35K15) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Distribution of energy and convergence to equilibria in extended dissipative systems
Threshold behavior and non-quasiconvergent solutions with localized initial data for bistable reaction-diffusion equations
A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
Geometric theory of semilinear parabolic equations
Solutions globales \((-\infty<t<+\infty)\) des systèmes paraboliques de lois de conservation. (Global solutions \((-\infty<t<+\infty)\) of parabolic systems of conservation laws.)
Coarsening by Ginzburg-Landau dynamics
Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance.
Sur l'équation \(\frac{\partial^2z}{\partial x^2}-\frac{\partial z}{\partial y}=0\) et la théorie de la chaleur.
A Liouville theorem for the viscous Burgers's equation
Examples of bounded solutions with nonstationary limit profiles for semilinear heat equations on \({\mathbb{R}}\)
Asymptotic structure for solutions of the Cauchy problem for Burgers type equations
Coarsening fronts
Estimates for solutions of Burgers type equations and some applications
Zeros of complex caloric functions and singularities of complex viscous Burgers equation
Abstract ω-Limit Sets, Chain Recurrent Sets, and Basic Sets for Flows
?1 stability of shock waves in scalar viscous conservation laws
Attractors for modulation equations on unbounded domains-existence and comparison
The Role of the Appell Transformation in the Theory of Heat Conduction
The partial differential equation u_t + uu_x = μ_xx
On a quasi-linear parabolic equation occurring in aerodynamics
Positive Temperatures on an Infinite Rod
Travelling fronts and entire solutions of the Fisher-KPP equation in \({\mathbb R}^N\)