| Full text | |
| Author(s): |
Neves, Wladimir
;
Olivera, Christian
Total Authors: 2
|
| Document type: | Journal article |
| Source: | JOURNAL OF NONLINEAR SCIENCE; v. 32, n. 4, p. 19-pg., 2022-08-01. |
| Abstract | |
We study in this article the existence and uniqueness of solutions to a class of stochastic transport equations with irregular coefficients and unbounded divergence. In the first result, we assume the drift is L-2([0, T] x R-d) boolean AND L-infinity ([0, T] x R-d), and the divergence is the locally integrable. In the second result, we show that the smoothing acts as a selection criterion when the drift is in L-2([0, T] x R-d) boolean AND L-infinity([0, T] x R-d) without any condition on the divergence. (AU) | |
| FAPESP's process: | 20/15691-2 - Analytical and probabilistic aspects of irregular models |
| Grantee: | Christian Horacio Olivera |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 20/04426-6 - Stochastic dynamics: analytical and geometrical aspects with applications |
| Grantee: | Paulo Regis Caron Ruffino |
| Support Opportunities: | Research Projects - Thematic Grants |