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.
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
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