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Communications in Partial Differential Equations Volume 45, 2020 - Issue 12
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Research Article

Existence of weak solutions to a continuity equation with space time nonlocal Darcy law

Luis Caffarellia Department of Mathematics, The University of Texas at Austin, Austin, Texas, USAORCID Iconhttps://orcid.org/0000-0001-9283-7083View further author information
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Maria Gualdania Department of Mathematics, The University of Texas at Austin, Austin, Texas, USACorrespondence[email protected]
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Nicola Zamponib School of Business Informatics and Mathematics, University of Mannheim, Mannheim, GermanyView further author information
Pages 1799-1819 | Received 18 Dec 2019, Accepted 24 Jul 2020, Published online: 08 Sep 2020

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Li Chen, Alexandra Holzinger, Ansgar Jüngel & Nicola Zamponi. (2022) Analysis and mean-field derivation of a porous-medium equation with fractional diffusion. Communications in Partial Differential Equations 47:11, pages 2217-2269.
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Articles from other publishers (4)

Jingwei Hu, Ansgar Jüngel & Nicola Zamponi. (2024) Global weak solutions for a nonlocal multispecies Fokker–Planck–Landau system. Kinetic and Related Models 0:0, pages 0-0.
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Ansgar Jüngel, Stefan Portisch & Antoine Zurek. (2022) Nonlocal cross-diffusion systems for multi-species populations and networks. Nonlinear Analysis 219, pages 112800.
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Ansgar Jüngel & Nicola Zamponi. (2022) Analysis of a fractional cross-diffusion system for multi-species populations. Journal of Differential Equations 322, pages 237-267.
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Esther Daus, Maria Pia Gualdani, Jingjing Xu, Nicola Zamponi & Xinyu Zhang. (2021) Non-local porous media equations with fractional time derivative. Nonlinear Analysis 211, pages 112486.
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