Skip to content

PDE Seminar

Monday, 24 March, 2014

SPEAKER: Prof. Truyen Nguyen, University of Akron

TITLE: Pressureless Euler/Euler-Poisson systems

ABSTRACT: We study the initial value problem for pressureless Euler/Euler-Poisson systems modeling the evolution of a sticky particle system. In the one dimensional case, we show that the system with or without viscosity admits a unique entropy-admissible weak solution. This general global existence result is established by employing the "sticky particles'' model and letting the number of particles go to infinity. In addition, an explicit rate of convergence of these sticky particle solutions to the solution for the continuous model is obtained via a contraction principle in the Wasserstein metric. In the two or more space dimensions, we construct various initial data showing that the Cauchy problem can have (i) two distinct sticky solutions, or (ii) no sticky solution, not even locally in time. In both cases the initial density is smooth with compact support, while the initial velocity field is continuous. This is joint work with Adrian Tudorascu (the one dimensional case) and with Alberto Bressan (the higher dimensional case).pde


Ayres Hall
Room 112
1403 Circle Drive
Knoxville, TN 37996

Event Contact

Phone: 974-2463

The flagship campus of the University of Tennessee System and partner in the Tennessee Transfer Pathway.