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math.PR2018
Weak martingale solutions for the stochastic nonlinear Schrödinger equation driven by pure jump noise
Zdzisław Brzeźniak, Fabian Hornung, Utpal Manna
We construct a martingale solution of the stochastic nonlinear Schrödinger equation with a multiplicative noise of jump type in the Marcus canonical form. The problem is formulated…
math.PR2017★ 6 cited
Existence of weak martingale solution of Nematic Liquid Crystals driven by Pure Jump Noise
Zdzisław Brzeźniak, Utpal Manna, Akash A. Panda
In this work we consider a stochastic evolution equation which describes the system governing the nematic liquid crystals driven by a pure jump noise. The existence of a martingale…
math.PR2017
Strong Solutions of Stochastic Models for Viscoelastic Flows of Oldroyd Type
Utpal Manna, Debopriya Mukherjee
In this work we study stochastic Oldroyd type models for viscoelastic fluids in . We show existence and uniqueness of strong local maximal solutions when the…