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Record Nr. |
UNINA9910865237703321 |
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Autore |
Barbu Viorel |
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Titolo |
Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts / / by Viorel Barbu, Michael Röckner |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
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ISBN |
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9783031617348 |
9783031617331 |
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Edizione |
[1st ed. 2024.] |
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Descrizione fisica |
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1 online resource (219 pages) |
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Collana |
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Lecture Notes in Mathematics, , 1617-9692 ; ; 2353 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Mathematical physics |
Differential equations |
Stochastic analysis |
Mathematical Physics |
Differential Equations |
Stochastic Analysis |
Física matemàtica |
Equacions diferencials no lineals |
Anàlisi estocàstica |
Equació de Fokker-Planck |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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- Introduction -- Existence of nonlinear Fokker–Planck flows -- Time dependent Fokker–Planck equations -- Convergence to equilibrium of nonlinear Fokker–Planck flows -- Markov processes associated with nonlinear Fokker–Planck equations -- Appendix. |
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Sommario/riassunto |
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This book delves into a rigorous mathematical exploration of the well-posedness and long-time behavior of weak solutions to nonlinear Fokker-Planck equations, along with their implications in the theory of probabilistically weak solutions to McKean-Vlasov stochastic differential equations and the corresponding nonlinear Markov processes. These are widely acknowledged as essential tools for describing the dynamics of complex systems in disordered media, as |
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