Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Jing, Wenjia"'
We study the periodic homogenization problem of state-constraint Hamilton--Jacobi equations on perforated domains in the convex setting and obtain the optimal convergence rate. We then consider a dilute situation in which the holes' diameter is much
Externí odkaz:
http://arxiv.org/abs/2405.01408
Autor:
Fu, Xin, Jing, Wenjia
We consider the Dirichlet problem for elliptic systems with periodically distributed inclusions whose conduction parameter exhibits a significant contrast compared to the background media. We develop a unified method to quantify the convergence rates
Externí odkaz:
http://arxiv.org/abs/2404.11396
Autor:
Jing, Wenjia, Zhang, Yiping
We study the quantitative homogenization of linear second order elliptic equations in non-divergence form with highly oscillating periodic diffusion coefficients and with large drifts, in the so-called ``centered'' setting where homogenization occurs
Externí odkaz:
http://arxiv.org/abs/2302.01157
Autor:
Fu, Xin, Jing, Wenjia
We consider the Lame system of linear elasticity with periodically distributed inclusions whose elastic parameters have high contrast compared to the background media. We develop a unified method based on layer potential techniques to quantify three
Externí odkaz:
http://arxiv.org/abs/2207.05367
We study the effective fronts of first order front propagations in two dimensions ($n=2$) in the periodic setting. Using PDE-based approaches, we show that for every $\alpha\in (0,1)$, the class of centrally symmetric polygons with rational vertices
Externí odkaz:
http://arxiv.org/abs/2112.10747
Autor:
Jing, Wenjia
We revisit the homogenization problem for the Poisson equation in periodically perforated domains with zero Neumann data at the boundary of the holes and prescribed Dirichlet data at the outer boundary. It is known that, if the periodicity of the hol
Externí odkaz:
http://arxiv.org/abs/2108.08533
Autor:
Jing, Wenjia
We investigate Lam\'e systems in periodically perforated domains, and establish quantitative homogenization results in the setting where the domain is clamped at the boundary of the holes. Our method is based on layer potentials and it provides a uni
Externí odkaz:
http://arxiv.org/abs/2007.03333
We study the periodic homogenization of first order front propagations. Based on PDE methods, we provide a simple proof that for $n \geq 3$, the class of centrally symmetric polytopes with rational coordinates and nonempty interior is admissible as e
Externí odkaz:
http://arxiv.org/abs/1909.11067
We study a generalized ergodic problem (E), which is a Hamilton-Jacobi equation of contact type, in the flat $n$-dimensional torus. We first obtain existence of solutions to this problem under quite general assumptions. Various examples are presented
Externí odkaz:
http://arxiv.org/abs/1902.05034
Autor:
Jing, Wenjia
Publikováno v:
SIAM J. Math. Anal. 52 (2020), No. 2, 1192--1220
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-cell ratios, that is the ratio between the scaling factor of the holes
Externí odkaz:
http://arxiv.org/abs/1901.08251