On the singularity formation and relaxation to equilibrium in 1D Fokker-Planck model with superlinear drift

DOI10.1016/j.aim.2019.106883zbMath1433.35408arXiv1901.11098OpenAlexW2982745016WikidataQ126804062 ScholiaQ126804062MaRDI QIDQ2281320

Katharina Hopf, Jose L. Rodrigo, José Antonio Carrillo

Publication date: 19 December 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.11098

zbMATH Keywords

Bose-Einstein condensatenonlinear Fokker-Planck equationsviscosity solutionsfinite-time blow-uppseudo-inverse cumulative distribution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Viscosity solutions to PDEs (35D40) Singular parabolic equations (35K67) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84) PDEs with measure (35R06)

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