T-coercivity for the asymptotic analysis of scalar problems with sign-changing coefficients in thin periodic domains

Autor: Renata Bunoiu, Karim Ramdani, Claudia Timofte

Publikováno v: Electronic Journal of Differential Equations, Vol 2021, Iss 59,, Pp 1-22 (2021)

Externí odkaz: https://doaj.org/article/44f3207e3311432c879e48b93583a45a

Multiscale Analysis of Ionic Transport in Periodic Charged Media

Autor: Claudia Timofte

Publikováno v: Biomath, Vol 2, Iss 2 (2014)

A macroscopic model for describing the ion transport in periodic charged porous media is rigorously derived. Our results can serve as a tool for biophysicists to analyze the ion transport through protein channels. Also, such a model is useful for des

Externí odkaz: https://doaj.org/article/efd9c941be204559a1efe75566a3e394

Upscaling of a double porosity problem with jumps in thin porous media

Autor: Claudia Timofte, Renata Bunoiu

Publikováno v: Applicable Analysis. 101:3497-3514

We study the homogenization of a double porosity diffusion problem in a thin highly heterogeneous composite medium formed by two materials separated by an imperfect interface, where the solution an...

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::65b5ad3dbe9187633eb23d9e65750e16
https://doi.org/10.1080/00036811.2020.1854232

A degenerate pseudo-parabolic equation with memory

Autor: Claudia Timofte, Micol Amar, Roberto Gianni, Daniele Andreucci

Publikováno v: Communications in Applied and Industrial Mathematics, Vol 10, Iss 1, Pp 71-77 (2019)

We prove the existence and uniqueness for a degenerate pseudo-parabolic problem with memory. This kind of problem arises in the study of the homogenization of some differential systems involving the Laplace-Beltrami operator and describes the effecti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef0e92f1b90db6ad4d561f39cccfeea9
https://doi.org/10.2478/caim-2019-0013

T-coercivity for the asymptotic analysis of scalar problems with sign-changing coefficients in thin periodic domains

Autor: Bunoiu, Renata, Ramdani, Karim, Claudia Timofte

Publikováno v: Electronic Journal of Differential Equations
Electronic Journal of Differential Equations, Texas State University, Department of Mathematics, 2021, 2021 (59), pp.1-22
Electronic Journal of Differential Equations, Vol 2021, Iss 59, Pp 1-22 (2021)
HAL
Electronic Journal of Differential Equations, 2021, 2021 (59), pp.1-22
Publons

International audience; We study a scalar problem in thin periodic composite media formed by two materials, a classical one and a metamaterial (also known as negative material). By applying T-coercivity methods and homogenization techniques specific

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::389424ec315fd1d57edc840098d1d10b
https://hal.inria.fr/hal-02974043v2/file/bunoiu.pdf