Seminario del 2026

Giugno
09
Martedì
Mikhail Feldman, Wisconsin University at Madison
Vorticity in shock reflection problems and transport equations
nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI
ore 16:30
presso Seminario II
seminario on line • collegamento al meeting
analisi matematica
In this talk we discuss self-similar solutions of two-dimensional Riemann problems with transonic shocks, focusing on regular shock reflection. After briefly reviewing known results for global self-similar solutions in the potential flow framework, we address the extension to the isentropic Euler system, where vorticity plays a central role. We show that regular reflection solutions exhibit low regularity and establish existence, uniqueness, and stability of renormalized solutions to the associated vorticity transport equation in this low-regularity setting. These results are obtained as a particular case of a more general analysis of transport equations without a time variable in domains of arbitrary dimension, allowing vector fields with possible stagnation points.
organizzato da: Fausto Ferrari, per il seminario di Analisi Matematica Bruno Pini.

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