TY - JOUR

T1 - Weak martingale solution of stochastic critical Oldroyd-B type models perturbed by pure jump noise

AU - Utpal Manna

AU - Mukherjee, Debopriya

PY - 2021/8/24

Y1 - 2021/8/24

N2 - We investigate the existence of a weak martingale solution for atwo-dimensional critical viscoelastic flow of the Oldroyd type drivenby pure jump Levy noise. Due to the viscoelastic nature, noise in theequation modeling stress tensor is considered in the Marcus canonicalform. Owing to the lack of dissipation and taking into accountof the structure of the non-linear terms, the proof requires higherorder estimates

AB - We investigate the existence of a weak martingale solution for atwo-dimensional critical viscoelastic flow of the Oldroyd type drivenby pure jump Levy noise. Due to the viscoelastic nature, noise in theequation modeling stress tensor is considered in the Marcus canonicalform. Owing to the lack of dissipation and taking into accountof the structure of the non-linear terms, the proof requires higherorder estimates

U2 - 10.1080/07362994.2021.1947855

DO - 10.1080/07362994.2021.1947855

M3 - Article

VL - 2021

JO - Stochastic analysis and applications

JF - Stochastic analysis and applications

SN - 0736-2994

ER -