**Upcoming Events**

Wednesday, March 1, 2017 at 3:00 PM in SAS 4201

Antonio Marigonda, University of Verona, Italy Antonio Marigonda, University of Verona, Italy

Antonio Marigonda, University of Verona, Italy

TBA

TBA

Wednesday, March 15, 2017 at 3:00 PM in SAS 4201

Daniel Toundykov, University of NebraskaLincolnDaniel Toundykov, University of NebraskaLincoln

Daniel Toundykov, University of NebraskaLincoln

Stability of Degenerately Damped Vibration

I will discuss some theoretical and numerical results on the stability properties of a dynamical system modeled by a nonlinear wave equation with a "degenerate" damping. The coefficient of the dissipation term is proportional to the amplitudes, hence its support depends on the geometry of the solution. This feature substantially complicates the stability analysis even in a one-dimensional setting. Helpful insights, however, can be gleaned from numerical simulations.

Thursday, March 23, 2017 at 3:00 PM in SAS 4201

Hung Tran, University of Wisconsin Madison Hung Tran, University of Wisconsin Madison

Hung Tran, University of Wisconsin Madison

TBA

TBA

Wednesday, March 29, 2017 at 3:00 PM in 4201

Wen Shen, Penn State UniversityWen Shen, Penn State University

Wen Shen, Penn State University

Vanishing viscosity solutions for Riemann problems in polymer flooding

We visit several models of polymer flooding in reservoir simulation.

A special common feature shared by the models, i.e., the thermo-dynamics is decoupled from the hydro-dynamics, leads to a scalar conservation law with discontinuous flux. We discuss solution of Riemann problems as the vanishing viscosity limit. In particular, we show by counter examples that there exists infinitely many vanishing viscosity solution as one varies the ratio of the two viscosity parameters. However, adding two monotonicity conditions, all double limits will converge to the same function.

Wednesday, April 12, 2017 at 3:00 PM in SAS 4201

Harbir Antil, George Mason UniversityHarbir Antil, George Mason University

Harbir Antil, George Mason University

tba

tba

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Seminar Organizer: Lorena Bociu, Khai Nguyen, and Michael Shearer