Viscous shock solutions to the stochastic Burgers equation
From MaRDI portal
Publication:2065718
DOI10.1007/s00205-021-01696-7zbMath1481.35275arXiv2009.04369OpenAlexW3196876595MaRDI QIDQ2065718
Alexander Dunlap, Leonid Ryzhik
Publication date: 12 January 2022
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.04369
Shocks and singularities for hyperbolic equations (35L67) Degenerate parabolic equations (35K65) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Height fluctuations for the stationary KPZ equation
- Inviscid Burgers equation with random kick forcing in noncompact setting
- KPZ line ensemble
- \(L^{2}\)-contraction for shock waves of scalar viscous conservation laws
- Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
- KPZ statistics of second class particles in ASEP via mixing
- Nonlinear asymptotic stability of viscous shock profiles for conservation laws
- Shock fluctuations in asymmetric simple exclusion
- On the stability of waves of nonlinear parabolic systems
- Shock profiles for the asymmetric simple exclusion process in one dimension
- Stochastic Burgers and KPZ equations from particle systems
- White noise perturbation of the viscous shock fronts of the Burgers equation
- Dynamical phase transition of ASEP in the KPZ regime
- Microscopic structure of travelling waves in the asymmetric simple exclusion process
- Stationary solutions to the stochastic Burgers equation on the line
- Space-time stationary solutions for the Burgers equation
- Fluctuation exponent of the KPZ/stochastic Burgers equation
- Dynamic Scaling of Growing Interfaces
- Remarks on the Stability of Shock Profiles for Conservation Laws with Dissipation
- L1 stability of travelling waves with applications to convective porous media flow
- Stability of travelling waves for non‐convex scalar viscous conservation laws
- ?1 stability of shock waves in scalar viscous conservation laws
- Thermodynamic Limit for Directed Polymers and Stationary Solutions of the Burgers Equation
- On global solutions of the random Hamilton–Jacobi equations and the KPZ problem
- A note on the stability of travelling wave solutions of Burgers’ equation
- Ergodicity for Infinite Dimensional Systems
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
- Hyperbolic Conservation Laws in Continuum Physics
This page was built for publication: Viscous shock solutions to the stochastic Burgers equation