For more information about this meeting, contact Stephanie Zerby.
|Title:||One-dimensional pressureless Euler/Euler-Poisson systems with or without viscosity|
|Seminar:||Computational and Applied Mathematics Colloquium|
|Speaker:||Truyen Va Nguyen, Akron|
|We study the initial value problem for one-dimensional
pressureless Euler/Euler-Poisson systems with or without viscosity.
A general global existence result is established by employing the ``sticky
particles'' model and letting the number of particles go to infinity.
We first construct entropy solutions for some appropriate scalar
conservation laws, then we show that these solutions encode all the
information necessary to obtain solutions for the pressureless systems.
Furthermore, an explicit rate of convergence of the sticky particle solutions to the solution for the continuous model is obtained via a contraction principle in the Wasserstein metric. Using this Wasserstein distance, we also study the vanishing viscosity limit for the systems. This is a joint work with Adrian Tudorascu.|
Room Reservation Information
|Date:||05 / 03 / 2013|
|Time:||03:35pm - 04:25pm|