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Measure valued solutions of sub-linear diffusion equations with a drift term

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Publication:414778
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DOI10.3934/dcds.2012.32.1675zbMath1267.35100arXiv1009.4305OpenAlexW2083513739MaRDI QIDQ414778

Simona Fornaro, Giuseppe Savaré, Giuseppe Toscani, Stefano Lisini

Publication date: 11 May 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4305


zbMATH Keywords

nonlinear diffusion equationsWasserstein distancegradient flowsconcentration phenomenapropagation of singularitiesmeasure valued solutionssublinear diffusion


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic equations (35K15) Singularity in context of PDEs (35A21)


Related Items (3)

On the singularity formation and relaxation to equilibrium in 1D Fokker-Planck model with superlinear drift ⋮ Entropic and gradient flow formulations for nonlinear diffusion ⋮ Infinite-time concentration in aggregation-diffusion equations with a given potential






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