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Nonlinear Analysis

Topological Phase Transitions and Boundary Layer Separations of Incompressible Flows

Shouhong Wang, Indiana University Bloomington

Location:  Hill 705
Date & time: Wednesday, 13 March 2019 at 1:40PM - 3:00PM

Abstract:  In the first part of the talk we recall the dynamic transition theory, leading to a general principle that all dynamic transitions for dissipative systems can be classified into three categories: continuous, catastrophic and random. We use the dynamic transition theory to study equilibrium phase transition in statistical physics. The second part of the talk is on topological phase transitions. Intuitively speaking, topological phase transition studies the change of the topological structure in the physical space as certain system parameter crosses a critical threshold. The main focus is on boundary-layer separation of incompressible fluid flows.

This is joint work with Tian Ma.

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