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http://dx.doi.org/10.18419/opus-13104
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DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Rohde, Christian | - |
dc.contributor.author | Tang, Hao | - |
dc.date.accessioned | 2023-06-01T10:01:13Z | - |
dc.date.available | 2023-06-01T10:01:13Z | - |
dc.date.issued | 2020 | de |
dc.identifier.issn | 1021-9722 | - |
dc.identifier.issn | 1420-9004 | - |
dc.identifier.other | 1849829799 | - |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-131236 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/13123 | - |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-13104 | - |
dc.description.abstract | We consider a class of stochastic evolution equations that include in particular the stochastic Camassa-Holm equation. For the initial value problem on a torus, we first establish the local existence and uniqueness of pathwise solutions in the Sobolev spaces Hs with s>3/2. Then we show that strong enough nonlinear noise can prevent blow-up almost surely. To analyze the effects of weaker noise, we consider a linearly multiplicative noise with non-autonomous pre-factor. Then, we formulate precise conditions on the initial data that lead to global existence of strong solutions or to blow-up. The blow-up occurs as wave breaking. For blow-up with positive probability, we derive lower bounds for these probabilities. Finally, the blow-up rate of these solutions is precisely analyzed. | en |
dc.description.sponsorship | Deutsche Forschungsgemeinschaft | de |
dc.description.sponsorship | Alexander von Humboldt-Stiftung | de |
dc.description.sponsorship | Projekt DEAL | de |
dc.language.iso | en | de |
dc.relation.uri | doi:10.1007/s00030-020-00661-9 | de |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | de |
dc.subject.ddc | 510 | de |
dc.title | On the stochastic Dullin-Gottwald-Holm equation : global existence and wave-breaking phenomena | en |
dc.type | article | de |
dc.date.updated | 2023-03-28T09:59:35Z | - |
ubs.fakultaet | Mathematik und Physik | de |
ubs.institut | Institut für Angewandte Analysis und numerische Simulation | de |
ubs.publikation.seiten | 34 | de |
ubs.publikation.source | Nonlinear differential equations and applications 28 (2021), No. 5 | de |
ubs.publikation.typ | Zeitschriftenartikel | de |
Enthalten in den Sammlungen: | 08 Fakultät Mathematik und Physik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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s00030-020-00661-9.pdf | 620,88 kB | Adobe PDF | Öffnen/Anzeigen |
Diese Ressource wurde unter folgender Copyright-Bestimmung veröffentlicht: Lizenz von Creative Commons