An averaging principle for stochastic differential equations
Vanishing viscosity limits in the small noise regime for Burgers turbulence
Differential equations with fractional derivatives and their applications
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Lyon 1, Univ Lyon, CNRS, UMR 5208, Inst Camille Jordan, Villeurbanne - France
[2] Univ Fed Rio de Janeiro, Inst Matemat, CP 68530, Rio De Janeiro - Brazil
[3] Univ Estadual Campinas, Dept Matemat, Campinas, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE; v. 18, n. 2, p. 397-419, 2018. |
| Web of Science Citations: | 1 |
| Abstract | |
We study in this article the existence and uniqueness of solutions to a class of stochastic transport equations with irregular coefficients. Asking only boundedness of the divergence of the coefficients (a classical condition in both the deterministic and stochastic setting), we can lower the integrability regularity required in known results on the coefficients themselves and on the initial condition, and still prove uniqueness of solutions. (AU) | |
| FAPESP's process: | 13/15795-9 - Stochastic partial differential equations |
| Grantee: | Christian Horacio Olivera |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |
| FAPESP's process: | 12/18739-0 - Generalized functions and stochastic equations |
| Grantee: | Christian Horacio Olivera |
| Support Opportunities: | Regular Research Grants |