Event Type:

Analysis Seminar

Date/Time:

Monday, May 2, 2022 - 12:00 to 12:50

Location:

BEXL 417

Guest Speaker:

Institution:

University of Pennsylvania

Abstract:

The coagulation-fragmentation equation is an integrodifferential equation that describes the evolution of distribution of objects via simple mechanisms of coalescence and breakage. Its applications range from astrophysics to milk science. Mathematically, this equation displays a lot of interesting phenomena. We will discuss some recent progress regarding the wellposedness theory of this equation, coming from the wellposedness and regularity theories of the Hamilton-Jacobi equation. If time permits, we will discuss a scaling limit that is related to the metastability of the equation. (These are joint works with Hung V. Tran (wellposedness) and Bob Pego (scaling limit).)

Host: