Bangalore probability seminar: Convex integration solutions for stochastic transport equation.
Ujjwal Koley (TIFR-CAM)
| Speaker |
Ujjwal Koley (TIFR-CAM)
|
|---|---|
| When |
Sep 19, 2022
from 03:15 PM to 04:15 PM |
| Where | Auditorium, Ground Floor, TIFR CAM |
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Abstract:
In this talk, we shall consider a transport equation forced by a random noise of three types: additive, linear multiplicative, transport in Stratonovich’s interpretation. Via convex integration modified to probabilistic setting, we will show existence of a divergence-free vector field with spatial regularity in Sobolev space and corresponding solution to a transport equation with spatial regularity in Lebesgue space, and consequently non-uniqueness in law at the level of probabilistically strong solutions globally in time. This is a joint work with Kazuo Yamazaki.