[Dottorcomp] Seminari di Matematica Applicata. Martedì 13 febbraio. Nataliya Vasylyeva.

[Stefano Lisini]

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

Martedì 13 febbraio 2024, alle ore 15.00 precise, presso l'aula
Beltrami del Dipartimento di Matematica,

Nataliya Vasylyeva (Institute of Applied Mathematics and Mechanics of NAS
of Ukraine and Politecnico di Milano)terrà un seminario dal titolo:

Direct and Inverse Problems Related to Multi-Term Fractional Diffusion
Equations.

Il seminario verrà anche trasmesso in diretta su zoom.

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

Abstract.
In this talk we first discuss the initial-boundary value problems to linear
and semilinear integro-differential equations with multi-term Caputo
derivatives. Particular cases of these equations are the recently proposed
advanced models of oxygen transport through capillaries. Under suitable
conditions on the given data, the global classical and strong solvability
of the associated problems is addressed. Moreover, some qualitative
properties of solutions (the long-time behavior, the existence of absorbing
sets) are analyzed.
The second issue discussed is the regularized reconstruction of
singular parameters in the models. Namely, we proposed an efficient
technique to identify the order of the fractional derivative and the order
of a singularity in the memory kernel for small time measurements.

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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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