Entropy formulation for fractal conservation laws

From MaRDI portal
Publication:882623

DOI10.1007/s00028-006-0253-zzbMath1116.35013OpenAlexW2083199345MaRDI QIDQ882623

Nathaël Alibaud

Publication date: 24 May 2007

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

Full work available at URL: https://doi.org/10.1007/s00028-006-0253-z




Related Items

Non-local conservation law from stochastic particle systemsGlobal well-posedness of the critical Burgers equation in critical Besov spacesOn a stochastic nonlocal conservation law in a bounded domainTwo‐dimensional fractal Burgers equation with step‐like initial conditionsOn a hyperbolic Keller-Segel system with degenerate nonlinear fractional diffusionUniqueness and properties of distributional solutions of nonlocal equations of porous medium typeA fractional degenerate parabolic-hyperbolic Cauchy problem with noiseOptimal continuous dependence estimates for fractional degenerate parabolic equationsOne-sided Hölder regularity of global weak solutions of negative order dispersive equationsLarge-time behaviour for anisotropic stable nonlocal diffusion problems with convectionVanishing viscosity limit of a conservation law regularised by a Riesz-Feller operatorOCCURRENCE AND NON-APPEARANCE OF SHOCKS IN FRACTAL BURGERS EQUATIONSThe Cauchy problem for fractional conservation laws driven by Lévy noiseEXISTENCE OF TRAVELLING WAVES IN THE FRACTIONAL BURGERS EQUATIONLong-time behavior of scalar conservation laws with critical dissipationStochastic nonlocal conservation laws on whole spaceKinetic Solutions for Nonlocal Scalar Conservation LawsStochastic degenerate fractional conservation lawsNonlocal dissipation measure and L1 kinetic theory for fractional conservation lawsThe discontinuous Galerkin method for fractional degenerate convection-diffusion equationsEntropy solutions of doubly nonlinear fractional Laplace equationsMultilevel Monte Carlo Finite Difference Methods for Fractional Conservation Laws with Random DataLDG approximation of a nonlinear fractional convection-diffusion equation using B-spline basis functionsVanishing viscosity solutions for conservation laws with regulated fluxEntropy solution theory for fractional degenerate convection-diffusion equationsConvergence of a stochastic particle approximation for fractional scalar conservation lawsA numerical method for fractal conservation lawsAsymptotic behaviour for the fractional heat equation in the Euclidean spaceNon-uniqueness of weak solutions for the fractal Burgers equationSolving a non-linear fractional convection-diffusion equation using local discontinuous Galerkin methodOn numerical methods and error estimates for degenerate fractional convection-diffusion equationsUniqueness of entropy solutions to fractional conservation laws with ``Fully infinite speed of propagationKinetic solutions for nonlocal stochastic conservation lawsFractional semi-linear parabolic equations with unbounded dataRenormalized solutions for convection-diffusion problems involving a nonlocal operatorRobust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part I: TheoryOn the spectral vanishing viscosity method for periodic fractional conservation lawsGlobal solutions for the critical Burgers equation in the Besov spaces and the large time behaviorNon-critical fractional conservation laws in domains with boundary