Events

Sticky particles with sticky boundary: well-posedness and asymptotic behavior

 Speaker: Adrian Tudorascu (West Virginia University)

We study Zeldovich's Sticky-Particles system when the evolution is confined to arbitrary closed subsets of the real line. Only the sticky boundary condition leads to a rigorous formulation of the initial value problem, whose well-posedness is proved under the Oleinik and initial strong continuity of energy conditions. For solutions confined to compact sets a long-time asymptotic limit is shown to exist.
 

Time: October 27, 2023 2:30pm-3:30pm
Location: LeConte 440
Host: Changhui Tan