Analysis and mean-field derivation of a porous-medium equation with fractional diffusion-Reference-Cited by-同舟云学术

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Analysis and mean-field derivation of a porous-medium equation with fractional diffusion

Published:2022-09-09 Issue:11 Volume:47 Page:2217-2269
ISSN:0360-5302
Container-title:Communications in Partial Differential Equations
language:en
Short-container-title:Communications in Partial Differential Equations

Author:

Chen Li¹,Holzinger Alexandra²,Jüngel Ansgar²,Zamponi Nicola¹

Affiliation:

1. School of Business Informatics and Mathematics, University of Mannheim, Mannheim, Germany

2. Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstraße, Wien, Austria

Funder

Austrian Science Fund

Alexander von Humboldt Foundation

European Research Council

Publisher

Informa UK Limited

Subject

Applied Mathematics,Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/03605302.2022.2118608

Reference49 articles.

1. User’s guide to the fractional Laplacian and the method of semigroups

2. A mean-field model of superconducting vortices

3. Dynamics of vortex liquids in Ginzburg-Landau theories with applications to superconductivity

4. The Nonlocal Porous Medium Equation: Barenblatt Profiles and Other Weak Solutions

5. The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion

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