36 citations · 48 across the 13 of their papers we have counts for
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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…
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…
On The Two and Three Dimensional Ideal Magnetic Bénard Problem - Local Existence and Blow-up Criterion
Utpal Manna, Akash A. Panda
In this paper, we consider the ideal magnetic Bénard problem in both two and three dimensions and prove local-in-time existence and uniqueness of strong solutions in for $s >…
Higher Order Regularity and Blow-up Criterion for Semi-dissipative and Ideal Boussinesq Equations
Utpal Manna, Akash A. Panda
In this paper we establish local-in-time existence and uniqueness of strong solutions in for to the viscous, zero thermal-diffusive Boussinesq equations in…
Internal Stabilization of a Class of Parabolic Integro-Differential Equations: Application to Viscoelastic Fluids
Sheetal Dharmatti, Utpal Manna, Debopriya Mukherjee
In this paper, we prove the stabilizability of abstract Parabolic Integro-Differential Equations (PIDE) in a Hilbert space with decay rate for certain by means o…