A fast regularisation of a Newtonian vortex equation

DOI10.4171/AIHPC/17MaRDI QIDQ2693076

David Gómez-Castro, José Antonio Carrillo, Juan Luis Vazquez

Publication date: 17 March 2023

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.00912

zbMATH Keywords

conservation lawsregularisationviscosity solutionsshock conditionsnon-linear mobility equations

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Viscosity solutions to PDEs (35D40)

Related Items (4)

The Cauchy problem for the fast \(p\)-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour ⋮ On the existence of solutions to a general mean field equation of nonlinear diffusion with the Newtonian potential pressure ⋮ Fine properties of solutions to the Cauchy problem for a fast diffusion equation with Caffarelli-Kohn-Nirenberg weights ⋮ Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility

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