Kolloquien und Oberseminare Übersicht Detail

Speaker:
Dr. Roberta Bianchini (Istituto per le Applicazioni del Calcolo, Rom)

Link zur Videokonferenz

Abstract: We consider a simple example of a partially dissipative hyperbolic system violating the Shizuta-Kawashima condition, i.e. such that some eigendirections do not exhibit dissipation at all. In the space-time resonances framework introduced by Germain, Masmoudi and Shatah, we prove that, when the source term has a Nonresonant Bilinear Form, as proposed by Pusateri and Shatah CPAM 2013, the formation of singularities is prevented, despite the lack of dissipation. This allows us to show that smooth solutions to this preliminary case-study model exist globally in time.