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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…
math.OC2017
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…