1–2 Oct 2026
Palazzo del Castelletto
Europe/Rome timezone

Semi-Lagrangian approximation of viscous transport and conservative equations with one sided Lipschitz velocity fields

2 Oct 2026, 14:30
30m
Aula Dini (Palazzo del Castelletto)

Aula Dini

Palazzo del Castelletto

Via del Castelletto, 11, 56126 Pisa PI

Speakers

Adriano Festa (Politecnico di Torino) Fabio Camilli (Università "G. d'Annunzio" Chieti-Pescara)Dr Luciano Marzufero (Libera Università di Bolzano)

Description

The aim of this work is to investigate semi-Lagrangian approximation schemes on unstructured grids for viscous transport and conservative equations with measurable coefficients that satisfy a one-sided Lipschitz condition. To establish the convergence of the schemes, we exploit the characterization of the solution for these equations expressed in terms of measurable time-dependent viscosity solution and, respectively, duality solution. We supplement our theoretical analysis with various numerical examples to illustrate the features of the schemes.

Author

Adriano Festa (Politecnico di Torino)

Co-authors

Fabio Camilli (Università "G. d'Annunzio" Chieti-Pescara) Dr Luciano Marzufero (Libera Università di Bolzano)

Presentation materials

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