Nonlocal dissipation measure and L1 kinetic theory for fractional conservation laws
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Publication:5124556
DOI10.1080/03605302.2020.1768542zbMath1448.35536arXiv1910.09320OpenAlexW3036078133MaRDI QIDQ5124556
Adama Ouédraogo, Nathaël Alibaud, Boris P. Andreianov
Publication date: 29 September 2020
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.09320
well-posednesskinetic formulation\(L^1\) datanonlinearity of porous medium kindnonlocal and nonlinear diffusionpure jump Lévy operator
Hyperbolic conservation laws (35L65) Generalized solutions to partial differential equations (35D99) Fractional partial differential equations (35R11) Quasilinear parabolic equations (35K59)
Related Items (5)
Weak–strong uniqueness for energy-reaction-diffusion systems ⋮ Stochastic degenerate fractional conservation laws ⋮ Uniqueness of entropy solutions to fractional conservation laws with ``Fully infinite speed of propagation ⋮ Renormalized solutions for convection-diffusion problems involving a nonlocal operator ⋮ A class of positive semi-discrete Lagrangian-Eulerian schemes for multidimensional systems of hyperbolic conservation laws
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