Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Simone Fagioli"'
Autor:
Simone Fagioli, Gianluca Favre
Publikováno v:
European Journal of Applied Mathematics, Pp 1-28
We study a system of nonlocal aggregation cross-diffusion PDEs that describe the evolution of opinion densities on a network. The PDEs are coupled with a system of ODEs that describe the time evolution of the agents on the network. Firstly, we apply
Externí odkaz:
https://doaj.org/article/65e156dc3ce44b69a42bd021a6f1a61a
Publikováno v:
Acta Applicandae Mathematicae. 184
We study the mathematical theory of second order systems with two species, arising in the dynamics of interacting particles subject to linear damping, to nonlocal forces and to external ones, and resulting into a nonlocal version of the compressible
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a75405c3fb6d0cac19d1d8e3f8ac3d2e
https://doi.org/10.1007/s10440-023-00564-8
https://doi.org/10.1007/s10440-023-00564-8
Autor:
Simone Fagioli
Publikováno v:
2 | 2 | 2021 CONSOLIDATION.
Colour photographs now represent almost all the images produced with the new reality capture tools, mobile phones, which in 2020 ‘took’ 90% of all photos of that year. Black and white is relegated to artistic expression, even newspapers have conv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::56b35cae2e8a057f59b91c4eb2b8c8f0
https://doi.org/10.30687/mag/2724-3923/2021/04/005
https://doi.org/10.30687/mag/2724-3923/2021/04/005
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 125:189-208
We prove that weak solutions obtained as limits of certain numerical space-time discretizations are suitable in the sense of Scheffer and Caffarelli-Kohn-Nirenberg. More precisely, in the space-periodic setting, we consider a full discretization in w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7279efa7506cf649e54dae5b8f977551
https://doi.org/10.1016/j.matpur.2018.09.004
https://doi.org/10.1016/j.matpur.2018.09.004
Autor:
Simone Fagioli, Oliver Tse
We prove the well-posedness of entropy solutions for a wide class of nonlocal transport equations with nonlinear mobility in one spatial dimension. The solution is obtained as the limit of approximations constructed via a deterministic system of inte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08524758285e9b62eb5c3073939845f6
http://arxiv.org/abs/2105.11389
http://arxiv.org/abs/2105.11389
Autor:
Simone Fagioli, Emanuela Radici
We propose an ODE-based derivation for a generalized class of opinion formation models either for single and multiple species (followers, leaders, trolls). The approach is purely deterministic and the evolution of the single opinion is determined by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5198ad3dcea4aa79e44cac6ef36ed72
http://hdl.handle.net/11697/176239
http://hdl.handle.net/11697/176239
Autor:
Simone Fagioli, Nadia Ansini
We prove an existence and uniqueness result for solutions to nonlinear diffusion equations with degenerate mobility posed on a bounded interval for a certain density $u$. In case of \emph{fast-decay} mobilities, namely mobilities functions under a Os
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd0d2b3c6519b460b192ea9a0582b67b
http://hdl.handle.net/11697/147262
http://hdl.handle.net/11697/147262
We prove global-in-time existence and uniqueness of measure solutions of a nonlocal interaction system of two species in one spatial dimension. For initial data including atomic parts we provide a notion of gradient-flow solutions in terms of the pse
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41d22158326aff949ada4c3be076c0b0
http://hdl.handle.net/11697/139448
http://hdl.handle.net/11697/139448
Autor:
Simone Fagioli, Yahya Jaafra
We investigate existence of stationary solutions to an aggregation/diffusion system of PDEs, modelling a two species predator-prey interaction. In the model this interaction is described by non-local potentials that are mutually proportional by a neg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::901045f94d4e98a9e1a3ca3a8a1d9ed2
http://arxiv.org/abs/1904.05224
http://arxiv.org/abs/1904.05224