In this work we study stochastic Landau–Lifshitz–Gilbert equations (SLLGEs) in one
dimension, with non-zero exchange energy only. Firstly, by introducing a suitable …

In this work we study a stochastic three-dimensional Landau–Lifshitz–Gilbert equation
perturbed by pure jump noise in the Marcus canonical form. We show the existence of a …

In this work we consider a stochastic evolution equation which describes the system
governing the nematic liquid crystals driven by a pure jump noise in the Marcus canonical …

We study optimal control problems for stochastic nonlinear Schrödinger equations in both
the mass subcritical and critical case. For general initial data of the minimal L^ 2 L 2 …

We establish a new version of the stochastic Strichartz estimate for the stochastic
convolution driven by jump noise which we apply to the stochastic nonlinear Schrödinger …

In this work we establish a Freidlin-Wentzell type large deviation principle for stochastic
nonlinear Schrodinger equation with either focusing or defocusing nonlinearity driven by …

We study the stochastic Camassa–Holm equation with pure jump noise. We establish the
existence of the global martingale solution by the regularization method, the tightness …

We consider a stochastic nonlinear defocusing Schrödinger equation with zero-order linear
damping, where the stochastic forcing term is given by a combination of a linear …

We prove the pathwise uniqueness of solutions of the nonlinear Schrödinger equation with
conservative multiplicative noise on compact 3D manifolds. In particular, we generalize the …

In this article, we construct a global martingale solution to a general nonlinear Schrödinger
equation with linear multiplicative noise in the Stratonovich form. Our framework includes …