Asymptotic stability of traveling wave solutions for nonlocal viscous conservation laws with explicit decay rates
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Publication:1670277
DOI10.1007/s00028-018-0426-6OpenAlexW2962791790WikidataQ130195286 ScholiaQ130195286MaRDI QIDQ1670277
Franz Achleitner, Yoshihiro Ueda
Publication date: 5 September 2018
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.05199
decay ratesasymptotic stabilitytraveling wave solutionsfractional Laplaciannonlocal evolution equationsRiesz-Feller operator
Fractional derivatives and integrals (26A33) Nonlinear evolution equations (47J35) Traveling wave solutions (35C07)
Related Items (2)
Large time behaviour of a conservation law regularised by a Riesz-Feller operator: the sub-critical case ⋮ Long-time behavior of scalar conservation laws with critical dissipation
Cites Work
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- Traveling waves for a bistable equation with nonlocal diffusion
- Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
- On nonlinear conservation laws with a nonlocal diffusion term
- Convergence rate to the nonlinear waves for viscous conservation laws on the half line
- ``Generalized Burgers' equation for nonlinear viscoelastic waves
- Geometric theory of semilinear parabolic equations
- Fractal Burgers equations
- Global solution and smoothing effect for a non-local regularization of a hyperbolic equation.
- Fractional calculus via functional calculus: Theory and applications
- On the internal structure of weakly nonlinear bores in laminar high Reynolds number flow
- Travelling waves for a non-local Korteweg-de Vries-Burgers equation
- Fractal first-order partial differential equations
- Asymptotic Properties of Entropy Solutions to Fractal Burgers Equation
- On Convergence of Solutions of Fractal Burgers Equation toward Rarefaction Waves
- Stability of travelling wave solutions to a semilinear hyperbolic system with relaxation
- Global existence for semilinear parabolic systems.
- On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
- The dissipation of nonlinear dispersive waves: the case of asymptotically weak nonlinearity
- The fundamental solution of the space-time fractional diffusion equation
- EXISTENCE OF TRAVELLING WAVES IN THE FRACTIONAL BURGERS EQUATION
- Lp ENERGY METHOD FOR MULTI-DIMENSIONAL VISCOUS CONSERVATION LAWS AND APPLICATION TO THE STABILITY OF PLANAR WAVES
- A note on the stability of travelling wave solutions of Burgers’ equation
- Nonuniqueness and Uniqueness in the Initial-Value Problem for Burgers’ Equation
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