Three Scale Unfolding Homogenization Method Applied to Cardiac Bidomain Model
, 2021 International audienceIn this paper, we are dealing with a rigorous homogenization result at two different levels for the bidomain model of cardiac electro-physiology.
Bader, Fakhrielddine +3 more
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Homogenization of parabolic equations with an arbitrary number of scales in both space and time [PDF]
, 2014 The main contribution of this paper is the homogenization of the linearparabolic equationtu (x, t) − ·axq1, ...,xqn,tr1, ...,trmu (x, t)= f(x, t)exhibiting an arbitrary finite number of both spatial and temporal scales.We briefly recall some fundamentals
Liselott Flodén +11 more
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Inverse scattering of elastic waves by periodic structures: Uniqueness under the third or fourth kind boundary conditions [PDF]
, 2010 . The inverse scattering of a time-harmonic elastic wave by a two-dimensional periodic structure in R2 is investigated. The grating profile is assumed to be the graph of a continuous piecewise linear function on which the third or fourth kind boundary ...
Elschner, Johannes +3 more
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Time averaging for random nonlinear abstract parabolic equations
Abstract and Applied Analysis, Volume 5, Issue 1, Page 1-11, 2000., 2000 On the basis of G‐convergence we prove an averaging result for nonlinear abstract parabolic equations, the operator coefficient of which is a stationary stochastic process.
G. Bruno, A. Pankov, T. Pankova
wiley +1 more source
Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations
Advances in Nonlinear Analysis, 2019 Homogenisation of global 𝓐ε and exponential 𝓜ε attractors for the damped semi-linear anisotropic wave equation ∂t2uε+y∂tuε−divaxε∇uε+f(uε)=g,$\begin{array}{} \displaystyle \partial_t ^2u^\varepsilon + y \partial_t u^\varepsilon-\operatorname{div} \left(a\
Cooper Shane, Savostianov Anton
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Drift perturbation’s influence on traveling wave speed in KPP-Fisher system
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper dressed the drift perturbation effects on the traveling wave speed in a reaction-diffusion system. We prove the existence of a traveling front solution of a KPP-Fisher equation and we show an asymptotic expansion of her speed.
Dkhil Fathi, Mannoubi Bechir
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, 2013 International audienceWe consider a magnetic Schrödinger operator in a planar infinite strip with frequently and non-periodically alternating Dirichlet and Robin boundary conditions.
Cardone, Giuseppe +2 more
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Asymptotic study of a nonlinear elliptic boundary Steklov problem on a nanostructure
Demonstratio MathematicaThe present study is related to the existence and the asymptotic behavior of the solution of a nonlinear elliptic Steklov problem imposed on a nanostructure depending on the thickness parameter ε\varepsilon (nano-scale), distributed on the boundary of ...
Maadan Hicham, Messaho Jamal
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Model of two-temperature convective transfer in porous media
, 2017 International audienceIn this paper, we study the asymptotic behaviour of the solution of a convective heat transfer boundary problem in an "-periodic domain which consists of two interwoven phases, solid and fluid, separated by an interface.
Isabelle Gruais +3 more
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Convergence rates of eigenvalue problems in perforated domains: the case of small volume
Advanced Nonlinear StudiesThis paper is concerned with the Dirichlet eigenvalue problem for Laplace operator in a bounded domain with periodic perforation in the case of small volume.
Shen Zhongwei, Zhuge Jinping
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