ON OPTIMAL CLOAKING-BY-MAPPING TRANSFORMATIONS

Autor: Yves Capdeboscq, Michael S. Vogelius

A central ingredient of cloaking-by-mapping is the diffeomorphism which transforms an annulus with a small hole into an annulus with a finite size hole, while being the identity on the outer boundary of the annulus. The resulting meta-material is ani

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c455b2cd88930a60d8e5574b9d4fbf5a
https://hal.sorbonne-universite.fr/hal-03335152/document

On the randomised stability constant for inverse problems

Autor: Yves Capdeboscq, Giovanni S. Alberti, Yannick Privat

Publikováno v: Mathematics in Engineering
Mathematics in Engineering, AIMS, 2020, 2 (2), pp.264-286. ⟨10.3934/mine.2020013⟩
Mathematics in Engineering, 2020, 2 (2), pp.264-286. ⟨10.3934/mine.2020013⟩
Mathematics in Engineering, Vol 2, Iss 2, Pp 264-286 (2020)

International audience; In this paper we introduce the randomised stability constant for abstract inverse problems, as a generalisation of the randomised observability constant, which was studied in the context of observability inequalities for the l

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ff7cadb131f6bc90ecaff13b4165090
http://hdl.handle.net/11567/998955

Quantitative jacobian determinant bounds for the conductivity equation in high contrast composite media

Autor: Shaun Chen Yang Ong, Yves Capdeboscq

Publikováno v: Discrete & Continuous Dynamical Systems - B. 25:3857

We consider the conductivity equation in a bounded domain in \begin{document}$ \mathbb{R}^{d} $\end{document} with \begin{document}$ d\geq3 $\end{document} . In this study, the medium corresponds to a very contrasted two phase homogeneous and isotrop

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8123140e92c96463002b809858e1aa27
https://doi.org/10.3934/dcdsb.2020228

Stability estimates for systems with small cross-diffusion

Autor: Yves Capdeboscq, Luca Alasio, Maria Bruna

Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2018, 52 (3), pp.1109--1135. ⟨10.1051/m2an/2018036⟩

We discuss the analysis and stability of a family of cross-diffusion boundary value problems with nonlinear diffusion and drift terms. We assume that these systems are close, in a suitable sense, to a set of decoupled and linear problems. We focus on

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ff4fa73a75115ce53b4f1d2157c8d51
https://hal.archives-ouvertes.fr/hal-02083837

Two asymptotic models for arrays of underground waste containers

Autor: Marc Briane, Robert Brizzi, Yves Capdeboscq, Grégoire Allaire

Publikováno v: Applicable Analysis. An International Journal
Applicable Analysis. An International Journal, 2009, 88 (10-11), pp.1445-1467. ⟨10.1080/00036810902922590⟩
Applicable Analysis
Applicable Analysis, 2009, 88 (10-11), pp.1445-1467. ⟨10.1080/00036810902922590⟩
Applicable Analysis, 2009, 88, pp.1445-1467
Applicable Analysis, Taylor & Francis, 2009, 88, pp.1445-1467

We study the homogenization of two models of an underground nuclear waste repository. The nuclear waste cells are periodically stored in the middle of a geological layer and are the only source terms in a parabolic evolution problem. The diffusion co

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4090d8af4ee500689ce6ea10fdf047f
https://ora.ox.ac.uk/objects/uuid:0b65c74b-21e5-4c1c-89b6-af8dce349677