[Dottorcomp] Seminari di Matematica Applicata. Martedì 7 febbraio. Robert Lasarzik.

[Stefano Lisini]

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

Martedì 7 febbraio 2023, alle ore 14.00 precise, presso l'aula Beltrami del
Dipartimento di Matematica,

Robert Lasarzik (Wias, Berlino)

terrà un seminario dal titolo:

Energy-variational solutions for conservation laws.

Il seminario verrà anche trasmesso in diretta su zoom.

Link Zoom:
https://us02web.zoom.us/j/87518137128?pwd=eHg2eG9QZUdydFJEU1NESWN5a1lPQT09

Abstract.

Conservation laws form one of the most fundamental classes of partial
differential equations modelling phenomena in continuum physics.
Nevertheless, their mathematical analysis is cumbersome and not yet well
understood away from the one-dimensional case and special examples. By
introducing energy-variational solutions for a general class of
conservation laws, a solvability concept is proposed that allows to prove
existence and weak-strong uniqueness of solutions. These solutions are
shown to coincide with established solvability concepts for the
compressible Euler equations. Even though the solutions are not unique,
several properties of the associated solution set are amenable for defining
selection criteria via optimization in order to select the physical
relevant solution.

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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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