Weak martingale solution of stochastic critical Oldroyd-B type models perturbed by pure jump noise
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In: Stochastic analysis and applications, Vol. 2021, 24.08.2021.
Research output: Contribution to journal › Article › Research › peer-review
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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 -
