Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Amar, Micol"'
An energy for first-order structured deformations in the context of periodic homogenization is obtained. This energy, defined in principle by relaxation of an initial energy of integral type featuring contributions of bulk and interfacial terms, is p
Externí odkaz:
http://arxiv.org/abs/2203.12769
We prove the existence and the uniqueness of a solution for a modified bidomain model, describing the electrical behaviour of the cardiac tissue in pathological situations. The leading idea is to reduce the problem to an abstract parabolic setting, w
Externí odkaz:
http://arxiv.org/abs/2101.09285
We study, by means of the periodic unfolding technique, the homogenization of a modified bidomain model, which describes the propagation of the action potential in the cardiac electrophysiology. Such a model, allowing the presence of pathological zon
Externí odkaz:
http://arxiv.org/abs/2101.09112
Diffusion in inhomogeneous materials can be described by both the Fick and Fokker--Planck diffusion equations. Here, we study a mixed Fick and Fokker-Planck diffusion problem with coefficients rapidly oscillating both in space and time. We obtain mac
Externí odkaz:
http://arxiv.org/abs/2003.06784
We prove a well-posedness result for two pseudo-parabolic problems, which can be seen as two models for the same electrical conduction phenomenon in heterogeneous media, neglecting the magnetic field. One of the problems is the concentration limit of
Externí odkaz:
http://arxiv.org/abs/2002.04935
We study a concentration and homogenization problem modelling electrical conduction in a composite material. The novelty of the problem is due to the specific scaling of the physical quantities characterizing the dielectric component of the composite
Externí odkaz:
http://arxiv.org/abs/2001.07780
Autor:
Amar, Micol, Gianni, Roberto
Publikováno v:
Math. Mech. Compl. Sys. 6 (2018) 41-59
In this paper we prove a concentration result and an error estimate for a model of heat conduction in composite materials having a microscopic structure arranged in a perodic array and thermally active membranes separating the heat conductive phases.
Externí odkaz:
http://arxiv.org/abs/1705.04345
We consider a nonlinear model for electrical conduction in biological tissues. The nonlinearity appears in the interface condition prescribed on the cell membrane. The purpose of this paper is proving asymptotic convergence for large times to a perio
Externí odkaz:
http://arxiv.org/abs/1507.06337
Publikováno v:
Adv. Calc. Var. 2 (2009), pp. 321-360
We study the geodesics in a planar chessboard structure with two values 1 and $\beta>1$. The results for a fixed structure allow us to infer the properties of the Finsler metrics obtained, with an homogenization procedure, as limit of oscillating che
Externí odkaz:
http://arxiv.org/abs/0804.4388
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