Differential Equations Seminar Fall 2009

Tuesdays 4:00-5:00p in Kerchof 317

September 1 Organizational meeting

September 8

September 15 Turker Ozsari, An introduction to monotone operators for non-linear PDEs – part I

September 22 Turker Ozsari, An introduction to monotone operators for non-linear PDEs – part II

September 29 Turker Ozsari, An introduction to monotone operators for non-linear PDEs – part III

October 6 No seminar (Reading Day)

October 13 Jameson Graber, An application of the theory of monotone operators to the acoustic equation

October 20 Turker Ozsari, Nonlinear Schrodinger equation

October 27 Irena Lasiecka, Monotone operators and PDEs

November 3 Shitao Liu, Uniqueness and stability in inverse problems for a wave equation

November 10 Ruo Jia, Recent integral inequalities and applications to PDEs

November 17 Yongjin Lu, Strong Stability of A Nonlinear Fluid-Structure Interaction Model

Abstract: We consider a 2D fluid-structure interaction coupling the Navier-Stokes equations with a
dynamic system of elasticity. In the model, an elastic solid is fully immersed in a fluid and
the interaction is realized via an interface, the boundary of the elastic body. The goal is to
establish the strong stability of the system for initial data in the natural energy space.

November 24 Yongjin Lu

December 1

December 8 Radu Dascaliuc