[Dottorcomp] Seminari di Matematica Applicata, 18/06/2024, Animesh Jana

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
e Istituto del CNR IMATI "E. Magenes" di Pavia.

Martedì 18 giugno 2024, alle ore 15.00 precise, presso l'aula Beltrami del
dipartimento di Matematica,

Animesh Jana (CEREMADE Paris Dauphine)
terrà un seminario dal titolo:
Existence and uniqueness of BV solution for the Euler-Poisson system in one
dimension with large initial data.
Abstract.
We discuss the existence of BV solutions to the Euler-Poisson system with
power-law pressure in one space dimension. For a fixed time T and BV
initial data (which can be large), we construct a BV entropy solution
provided that the exponent of the power-law pressure is close to 1. We use
the Glimm scheme combined with a splitting method. We will focus on the
difficulties that arise in controlling the Glimm functional for the Euler-
Poisson system due to the presence of the electric field. If time permits,
we will discuss the stability of large BV solutions for the Euler-Poisson
system. This talk is based on joint work with Shyam Sundar Ghoshal and
Boris Haspot.
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Pagina web dei Seminari di Matematica Applicata
https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/
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