Pointwise estimates for solutions of fractal Burgers equation

DOI10.1016/j.jde.2016.08.036zbMath1366.35217arXiv1508.00370OpenAlexW2963755404MaRDI QIDQ324110

Grzegorz Serafin, Tomasz Jakubowski

Publication date: 10 October 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00370

zbMATH Keywords

asymptotics of solutionsgeneralized Burgers equationfractional Laplacianestimates of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for PDEs with pseudodifferential operators (35S10) Fractional partial differential equations (35R11)

Related Items (2)

Fractional Burgers equation with singular initial condition ⋮ Uniform pointwise asymptotics of solutions to quasi-geostrophic equation

Cites Work

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• Upper bounds for fundamental solutions to non-local diffusion equations with divergence free drift
• Estimates of the Green function for the fractional Laplacian perturbed by gradient
• Estimates of gradient perturbation series
• Large-time behavior of periodic solutions to fractal Burgers equation with large initial data
• Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation
• Blow up and regularity for fractal Burgers equation
• Stable estimates for source solution of critical fractal Burgers equation
• Far field asymptotics of solutions to convection equation with anomalous diffusion
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
• Fractal Burgers equations
• Asymptotic behaviour and source-type solutions for a diffusion-convection equation
• A maximum principle applied to quasi-geostrophic equations
• Dirichlet heat kernel estimates for \(\Delta ^{\alpha /2} + \delta ^{\beta /2}\)
• Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
• Asymptotics for conservation laws involving Lévy diffusion generators
• Asymptotic Properties of Entropy Solutions to Fractal Burgers Equation
• Fractional Laplacian with singular drift
• On Convergence of Solutions of Fractal Burgers Equation toward Rarefaction Waves
• Hölder estimates for advection fractional-diffusion equations
• Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws

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