4 citations · 5 across the 4 of their papers we have counts for
7 papers
Layer potentials for Lamé systems and homogenization of perforated elastic medium with clamped holes
Wenjia Jing
We investigate Lamé systems in periodically perforated domains, and establish quantitative homogenization results in the setting where the domain is clamped at the boundary of the…
Effective fronts of polytope shapes
Wenjia Jing, Hung Vinh Tran, Yifeng Yu
We study the periodic homogenization of first order front propagations. Based on PDE methods, we provide a simple proof that for , the class of centrally symmetric polyto…
Generalized ergodic problems: existence and uniqueness structures of solutions
Wenjia Jing, Hiroyoshi Mitake, Hung V. Tran
We study a generalized ergodic problem (E), which is a Hamilton-Jacobi equation of contact type, in the flat -dimensional torus. We first obtain existence of solutions to this p…
A unified homogenization approach for the Dirichlet problem in Perforated Domains
Wenjia Jing
We revisit the periodic homogenization of Dirichlet problems for the Laplace operator in perforated domains, and establish a unified proof that works for different regimes of hole-…
A backscattering model based on corrector theory of homogenization for the random Helmholtz equation
Wenjia Jing, Olivier Pinaud
This work concerns the analysis of wave propagation in random media. Our medium of interest is sea ice, which is a composite of a pure ice background and randomly located inclusion…
Localization, Stability, and Resolution of Topological Derivative Based Imaging Functionals in Elasticity
Habib Ammari, Elie Bretin, Josselin Garnier +3
The focus of this work is on rigorous mathematical analysis of the topological derivative based detection algorithms for the localization of an elastic inclusion of vanishing chara…