[Amath-seminars] Feb. 11 - Special AMATH Seminar - Weiwei Hu (IMA)

Ulrich Hetmaniuk hetmaniu at uw.edu
Wed Feb 10 16:24:46 PST 2016

Dear All,

Here is a kind reminder of Weiwei Hu's upcoming talk

Speaker: Weiwei Hu, IMA
Time: Thursday February 11th, 16h00
Location: DEM 004

Title: Controlling a Thermal Fluid: Theoretical and Computational Issues


> Abstract

> -----------

> We first discuss the problem of designing a feedback law which locally

> stabilizes a two dimensional thermal fluid modeled by the Boussinesq

> equations. The investigation of stability for a fluid flow in the natural

> convection problem is important in the theory of hydrodynamical stability.

> The challenge of stabilization of the Boussinesq equations arises from the

> stabilization of the Navier-Stokes equations and its coupling with the

> convection-diffusion equation for temperature. In particular, given a

> steady state solution on a bounded and connected domain, we show that a

> finite number of controls acting on a part of the boundary through

> Neumann/Robin boundary conditions is sufficient to stabilize the full

> nonlinear equations in the neighborhood of this steady state solution.

> Dirichlet boundary conditions are imposed on the rest of the boundary.

> Moreover, we prove that a stabilizing feedback control law can be obtained

> based on the state estimators by solving an extended Kalman filter

> problem for the linearized Boussinesq equations. A reduced order model is

> used to construct a finite dimensional estimator. Numerical results are

> provided to illustrate the idea. In the end, we discuss the problem of

> well-posedness and control designs for the Boussinesq equations with zero

> diffusivity and its application to optimal mixing and stirring.



> Speaker webpage

> ------------------------

> http://www.ima.umn.edu/~weiwei/


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