Veranstaltungen

30. Oktober 2025, 16:14 bis 18:14

AKOR Seminar: Homogenization of nonlocal Hamilton Jacobi equations

Seminar

Adina Ciomaga, “O Mayer” Institute of the Romanian Academy, Iasi, Romania

and University Paris Cité, Laboratoire Jacques Louis Lions, France

 

I will present the framework of periodic homogenisation of nonlocal Hamilton-Jacobi equations, associated with Levy-Itô integro-differential operators. A typical equation is the fractional diffusion coupled with a transport term, where the diffusion is only weakly elliptical. Homogenization is established in two steps: (i) the resolution of a cellular problem - where Lipshitz regularity of  the corrector plays a key role and (ii) the convergence of the oscillating solutions towards an averaged profile - where comparison principles are involved.  I shall discuss recent results on the regularity of solutions and comparison principles for nonlocal equations, and the difficulties we face when compared with  local PDEs.  

Kalendereintrag

Veranstaltung Details

Veranstaltungsort
Sem. R. DB gelb 04
1040 Wien
Wiedner Hauptstraße 8 E105-4
Veranstalter
VADOR
vador@tuwien.ac.at
Info-Link
https://sites.google.com/view/adinaciomaga/home
Öffentlich
Nein
Kostenpflichtig
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Anmeldung erforderlich
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