5 papers
A point-free theory of quantitative homogenization
Thuyen Dang, Yuliya Gorb, Silvia Jiménez Bolaños
We introduce a purely operator-theoretic framework for quantitative homogenization that bypasses the traditional reliance on large-scale spatial regularity and probabilistic assump…
Global boundedness of solutions of degenerate and non-uniform parabolic equations
Thuyen Dang, Duong Minh Duc
Let , be a bounded open in , , , be a weak solution of parabolic equation $\displaystyle \frac{\part…
Homogenization of a semilinear elliptic problem
Thuyen Dang, Yuliya Gorb, Silvia Jiménez Bolaños
We consider the homogenization of a semilinear elliptic equation where the coefficients of the second-order differential operator may be discontinuous. We establish the existence a…
Homogenization of high-contrast dielectric elastomer composites
Thuyen Dang, Yuliya Gorb, Silvia Jiménez Bolaños
This paper focuses on the homogenization of high-contrast dielectric elastomer composites, materials that deform in response to electrical stimulation. The considered heterogeneous…
Topological Anderson Insulators by homogenization theory
Guillaume Bal, Thuyen Dang
A central property of (Chern) topological insulators is the presence of robust asymmetric transport along interfaces separating two-dimensional insulating materials in different to…