Partial Differential Equations seminar
Speaker: Utpal Manna.
Affiliation: IISER Thiruvananthapuram.
Date and Time: Friday 12 July, 12:00 pm - 1:00 pm.
Venue: Room 216, Department of Mathematics.
Title: Weak Solutions of a Stochastic Landau豊ifshitz萌ilbert Equation
Driven by Pure Jump Noise.
Abstract: In this work we study a stochastic three-dimensional
Landau-Lifschitz-Gilbert equation perturbed by pure jump noise in the
Marcus canonical form. We show existence of weak martingale solutions
taking values in a two-dimensional sphere $S^2$ and discuss certain
regularity results. The construction of the solution is based on the
classical Faedo-Galerkin approximation, the compactness method and the
Jakubowski version of the Skorokhod Theorem for nonmetric spaces. This is
a joint work with Zdzislaw Brzezniak (University of York) and has been
published in Commun. Math. Phys. (2019),
https://doi.org/10.1007/s00220-019-03359-x.