Self-similar solutions for a transport equation with non-local flux

DOI10.1007/s11401-009-0180-8zbMath1186.35154OpenAlexW2022497675MaRDI QIDQ964793

Diego Cordoba, Angel Castro

Publication date: 21 April 2010

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-009-0180-8

zbMATH Keywords

self-similar solutionsHilbert transformtransport equationsRiesz transform

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (7)

Global solutions for a supercritical drift-diffusion equation ⋮ Infinite energy solutions of the surface quasi-geostrophic equation ⋮ Global existence for some transport equations with nonlocal velocity ⋮ Global existence of weak solutions to dissipative transport equations with nonlocal velocity ⋮ On a transport equation with nonlocal drift ⋮ An aggregation equation with a nonlocal flux ⋮ On the global well-posedness of one-dimensional fluid models with nonlocal velocity

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