Asymptotic stability of viscous shocks in the modular Burgers equation
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Publication:5005411
DOI10.1088/1361-6544/ac0f4fzbMath1475.35052arXiv2010.13004OpenAlexW3093593580MaRDI QIDQ5005411
Dmitry E. Pelinovsky, Uyen Le, Pascal Poullet
Publication date: 10 August 2021
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.13004
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Integral representations of solutions to PDEs (35C15) Traveling wave solutions (35C07)
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Cites Work
- Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations
- Dynamics of phase transitions in a piecewise linear diatomic chain
- Equation admitting linearization and describing waves in dissipative media with modular, quadratic, and quadratically cubic nonlinearities
- Modular solitons
- Propagation of nonlinear acoustic waves in bimodular media with linear dissipation
- Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction-diffusion equations
- Uniform convergence of operators on \(L^{\infty}\) and similar spaces
- Weighted norms for the stability of traveling waves
- Non-linear stability of modulated fronts for the Swift-Hohenberg equation
- Enstrophy growth in the viscous Burgers equation
- Stationary waves in a bimodular rod of finite radius
- Orbital stability of periodic traveling-wave solutions for the log-KdV equation
- Inhomogeneous Burgers equation with modular nonlinearity: excitation and evolution of high-intensity waves
- On the linearized \(\log\)-KdV equation
- Diffusive N-Waves and Metastability in the Burgers Equation
- On the orbital stability of Gaussian solitary waves in the log-KdV equation
- Using Global Invariant Manifolds to Understand Metastability in the Burgers Equation with Small Viscosity
- The critical wave speed for the Fisher–Kolmogorov–Petrowskii–Piscounov equation with cut-off
- Pointwise Green's function approach to stability for scalar conservation laws
- The evolution of traveling waves in a KPP reaction‐diffusion model with cut‐off reaction rate. I. Permanent form traveling waves
- The evolution of traveling waves in a KPP reaction–diffusion model with cut‐off reaction rate. II. Evolution of traveling waves
- Nonlinear stability of fast invading fronts in a Ginzburg–Landau equation with an additional conservation law
- Large-Time Asymptotic Stability of Riemann Shocks of Scalar Balance Laws
- Sharp bounds on enstrophy growth in the viscous Burgers equation
- Gaussian solitary waves and compactons in Fermi–Pasta–Ulam lattices with Hertzian potentials
- An Explanation of Metastability in the Viscous Burgers Equation with Periodic Boundary Conditions via a Spectral Analysis
- Traveling fronts in dissipative granular chains and nonlinear lattices
- Inverse acoustic and electromagnetic scattering theory
