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Seminar on Partial Differential Equations

usually takes place each Tuesday at 09:00 in IM, rear building, ground floor
Chair: Šárka Nečasová, Milan Pokorný

Local stabilization of time periodic flows

Mythily Ramaswamy
TIFR Centre for Applicable Mathematics, Bangalore
Tuesday, 20. April 2021 - 9:00 to 10:30
Fluid flows have been studied for a long  time, with a view to understand better the models like channel flow, blood flow, air flow in the lungs etc. Here we focus on  time periodic fluid flow models. Local stabilization here concerns the decay of the perturbation in the flow near a periodic trajectory. The main motivating example is the incompressible Navier-Stokes system. I will discuss the general framework to study periodic solutions and then indicate some results in this direction.