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Session S37 - New Developments in Mathematical Fluid Dynamics

Monday, July 19, 17:30 ~ 17:55 UTC-3

Electroconvection in fluids

Mihaela Ignatova

Temple University, US   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We describe results on an electroconvection model in fluids. The model consists of two dimensional Navier-Stokes equations driven by electrical and body forces, coupled to an advection and fractional diffusion equation for the surface charge density, driven by voltage applied at the boundary. We prove global regularity of solutions, and show that the long time behavior is described by a finite dimensional attractor. In the absence of body forces, the attractor reduces to a singleton, i.e. there is a unique, globally stable stationary solution.

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