Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Francesco Solombrino"'
Publikováno v:
Mathematics in Engineering, Vol 4, Iss 4, Pp 1-22 (2022)
The approximation in the sense of Γ-convergence of nonisotropic Griffith-type functionals, with p−growth (p>1) in the symmetrized gradient, by means of a suitable sequence of non-local convolution type functionals defined on Sobolev spaces, is ana
Externí odkaz:
https://doaj.org/article/b4b006beb9da4d08aa37886a179d7f91
Publikováno v:
Milan Journal of Mathematics. 91:175-212
The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set of assumptions. Under further assumptions on the evolution of the labe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4825b33dcc155ad29257b1a96ddbaee2
https://doi.org/10.1007/s00032-022-00375-w
https://doi.org/10.1007/s00032-022-00375-w
Publikováno v:
Mathematics in Engineering. 4:1-22
The approximation in the sense of $\Gamma$-convergence of nonisotropic Griffith-type functionals, with $p-$growth ($p>1$) in the symmetrized gradient, by means of a suitable sequence of non-local convolution type functionals defined on Sobolev spaces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f5a8ad6fa59e33e82b23d07a45b3f5f
https://doi.org/10.3934/mine.2022031
https://doi.org/10.3934/mine.2022031
Autor:
Francesco Solombrino, Marco Morandotti
Publikováno v:
SIAM Journal on Mathematical Analysis. 52:1427-1462
The mean-field analysis of a multipopulation agent-based model is performed. The model couples a particle dynamics driven by a nonlocal velocity with a Markov-type jump process on the probability that each agent has of belonging to a given population
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7dd7777b4b4cc011c9f0b6e7399c9c1
https://doi.org/10.1137/19m1273426
https://doi.org/10.1137/19m1273426
A mean-field selective optimal control problem of multipopulation dynamics via transient leadership is considered. The agents in the system are described by their spatial position and their probability of belonging to a certain population. The dynami
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c874bebc259145625df6278327c70b20
http://hdl.handle.net/11583/2970766
http://hdl.handle.net/11583/2970766
The notion of inertial balanced viscosity (IBV) solution to rate-independent evolutionary processes is introduced. Such solutions are characterized by an energy balance where a suitable, rate-dependent, dissipation cost is optimized at jump times. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bc114bfe4e8f9f4e2167095022e1dd1
https://hdl.handle.net/11573/1638250
https://hdl.handle.net/11573/1638250
Autor:
Giovanni Scilla, Francesco Solombrino
Publikováno v:
Nonlinear Differential Equations and Applications NoDEA. 28
An approximation, in the sense of $$\Gamma $$ Γ -convergence and in any dimension $$d\ge 1$$ d ≥ 1 , of Griffith-type functionals, with p-growth ($$p>1$$ p > 1 ) in the symmetrized gradient, is provided by means of a sequence of non-local integral
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78c4e425731aee1905e45e1a4d5899b5
https://doi.org/10.1007/s00030-021-00682-y
https://doi.org/10.1007/s00030-021-00682-y
In this work, we provide a characterization result for lower semicontinuity of surface energies defined on piecewise rigid functions, i.e., functions which are piecewise affine on a Caccioppoli partition where the derivative in each component is a sk
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ee2679fe000ddb8cee3c7b7989598dc
http://hdl.handle.net/11588/834260
http://hdl.handle.net/11588/834260
A multi-step Lagrangian scheme at discrete times is proposed for the approximation of a nonlinear continuity equation arising as a mean-field limit of spatially inhomogeneous evolutionary games, describing the evolution of a system of spatially distr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4080b9e339d595e655c064a5f9e4b87
http://hdl.handle.net/11583/2948259
http://hdl.handle.net/11583/2948259
In this paper we deal with a debonding model for a thin film in dimension two, where the wave equation on a time-dependent domain is coupled with a flow rule (Griffith's principle) for the evolution of the domain. We propose a general definition of e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fecd23f93414b37001b69729fbbd83e1
http://arxiv.org/abs/2012.04993
http://arxiv.org/abs/2012.04993