Results 21 to 30 of about 62 (62)
Homogenised models of nutrient transport in a fibrous bioreactor scaffold
European Journal of Applied MathematicsBioreactor scaffolds must be designed to facilitate adequate nutrient delivery to the growing tissue they support. For perfusion bioreactors, the dominant transport process is determined by the scale of fluid velocity relative to diffusion and the ...
Amy Kent +3 more
doaj +1 more source
Homogenisation of Wasserstein gradient flows
European Journal of Applied MathematicsWe prove the convergence of a Wasserstein gradient flow of a free energy in inhomogeneous media. Both the energy and media can depend on the spatial variable in a fast oscillatory manner.
Yuan Gao, Nung Kwan Yip
doaj +1 more source
Modelling of the fluid flow in a thin domain with injection through permeable boundary
European Journal of Applied MathematicsIn this paper, we derive the effective model describing a thin-domain flow with permeable boundary through which the fluid is injected into the domain. We start with incompressible Stokes system and perform the rigorous asymptotic analysis.
Eduard Marušić-Paloka, Igor Pažanin
doaj +1 more source
Integral constraints in multiple scales problems with a slowly varying microstructure
European Journal of Applied MathematicsAsymptotic homogenisation is considered for problems with integral constraints imposed on a slowly varying microstructure; an insulator with an array of perfectly dielectric inclusions of slowly varying size serves as a paradigm.
Amy Kent +3 more
doaj +1 more source
On the heat kernel of the Rumin complex and Calderón reproducing formula
Analysis and Geometry in Metric SpacesWe derive several properties of the heat equation with the Hodge operator associated with the Rumin’s complex on Heisenberg groups and prove several properties of the fundamental solution.
Ciatti Paolo +2 more
doaj +1 more source
, 2017 Reviewer: Marco Codegone (Torino) Amar, Micol; Andreucci, Daniele; Bellaveglia, Dario Homogenization of an alternating Robin-Neumann boundary condition via time-periodic unfolding. (English) Zbl 1370.35034 Nonlinear Anal., Theory Methods Appl., Ser. A,
Codegone Marco
core
Homogenization In A Periodic And Time Dependent Potential
, 1997 . This paper contains a study of the long time behavior of a diffusion process in a periodic potential. The first goal is to determine a suitable rescaling of time and space so that the diffusion process converges to some homogeneous limit.
Josselin Garnier
core
Homogenization of Compositional Flow in Fractured Porous Media
, 2007 . We derive a dual-porosity model of multidimensional, multicomponent, three-phase flow in naturally fractured porous media from the (formal) mathematical theory of homogenization.
Zhangxin Chen +3 more
core
Band-Gap Structure Of Spectra Of Periodic Dielectric And Acoustic Media. I. Scalar Model
, 1996 . We investigate the band-gap structure of the spectrum of second-order partial differential operators associated with the propagation of waves in a periodic two-component medium.
Alex Figotin, Peter Kuchment
core
Homogenisation for the monodomain model in the presence of microscopic fibrotic structures. [PDF]
Commun Nonlinear Sci Numer Simul, 2023 Lawson BAJ +5 more
europepmc +1 more source