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pro vyhledávání: '"Barchiesi, Marco"'
Despite its high significance in nonlinear elasticity, the neo-Hookean energy is still not known to admit minimisers in some appropriate admissible class. Using ideas from relaxation theory, we propose a larger minimisation space and a modified funct
Externí odkaz:
http://arxiv.org/abs/2311.02952
We provide a fine description of the weak limit of sequences of regular axisymmetric maps with equibounded neo-Hookean energy, under the assumption that they have finite surface energy. We prove that these weak limits have a dipole structure, showing
Externí odkaz:
http://arxiv.org/abs/2111.07112
We consider the problem of minimizing the neo-Hookean energy in \(3D\). The difficulty of this problem is that the space of maps without cavitation is not compact, as shown by Conti \& De Lellis with a pathological example involving a dipole. In orde
Externí odkaz:
http://arxiv.org/abs/2102.12303
Autor:
Barchiesi, Marco, Julin, Vesa
We study an isoperimetric problem described by a functional that consists of the standard Gaussian perimeter and the norm of the barycenter. This second term has a repulsive effect, and it is in competition with the perimeter. Because of that, in gen
Externí odkaz:
http://arxiv.org/abs/1805.03161
Autor:
Barchiesi, Marco1 (AUTHOR), Henao, Duvan2,3 (AUTHOR), Mora-Corral, Carlos4,5 (AUTHOR), Rodiac, Rémy6 (AUTHOR) remy.rodiac@math.universite-paris-saclay.fr
Publikováno v:
Archive for Rational Mechanics & Analysis. Aug2023, Vol. 247 Issue 4, p1-46. 46p.
Autor:
Barchiesi, Marco
We present a simple example of toughening mechanism in the homogenization of composites with soft inclusions, produced by crack deflection at microscopic level. We show that the mechanism is connected to the irreversibility of the crack process. Beca
Externí odkaz:
http://arxiv.org/abs/1611.02339
Akademický článek
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Autor:
Barchiesi, Marco, Julin, Vesa
Publikováno v:
Calc. Var. Partial Differential Equations, Volume 56, Issue 3 (2017), article 80
We provide a sharp quantitative version of the Gaussian concentration inequality: for every $r>0$, the difference between the measure of the $r$-enlargement of a given set and the $r$-enlargement of a half-space controls the square of the measure of
Externí odkaz:
http://arxiv.org/abs/1608.07990
Autor:
Casella, Francesco, Barchiesi, Marco, Leidi, Federica, Russo, Giulia, Casazza, Giovanni, Valerio, Giulia, Torzillo, Daniela, Ceriani, Elisa, Del Medico, Marta, Brambilla, Anna Maria, Mazziotti, Maria Alessandra, Cogliati, Chiara
Publikováno v:
In European Journal of Internal Medicine March 2021 85:34-40
Publikováno v:
Annals of Probability, Volume 45, Number 2 (2017), 668-697
We provide a full quantitative version of the Gaussian isoperimetric inequality. Our estimate is independent of the dimension, sharp on the decay rate with respect to the asymmetry and with optimal dependence on the mass.
Externí odkaz:
http://arxiv.org/abs/1409.2106