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McKean-Vlasov diffusion and the well-posedness of the Hookean bead-spring-chain model for dilute polymeric fluids

Abstract:

We reformulate a general class of classical bead-spring-chain models for dilute polymeric fluids, with Hookean spring potentials, as McKean–Vlasov diffusion. This results in a coupled system of partial differential equations involving the unsteady incompressible linearized Navier–Stokes equations, referred to as the Oseen system, for the velocity and the pressure of the fluid, with a source term which is a nonlinear function of the probability density function, and a second-order degenerat...

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

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Role:
Supervisor
ORCID:
0000-0002-0812-6105
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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