10 citations · 12 across the 12 of their papers we have counts for
14 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…
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…
Explicit corrector in homogenization of monotone operators and its application to nonlinear dielectric elastomer composites
Thuyen Dang, Yuliya Gorb, Silvia Jimenez Bolanos
This paper concerns the rigorous periodic homogenization for a weakly coupled electroelastic system of a nonlinear electrostatic equation with an elastic equation enriched with ele…
Homogenization of a non-linear strongly coupled model of magnetorheological fluids
Thuyen Dang, Yuliya Gorb, Silvia Jiménez Bolaños
This paper concerns the rigorous periodic homogenization for a non-linear strongly coupled system, which models a suspension of magnetizable rigid particles in a non-conducting car…
Global gradient estimate for a divergence problem and its application to the homogenization of a magnetic suspension
Thuyen Dang, Yuliya Gorb, Silvia Jimenez Bolanos
This paper generalizes the results obtained by the authors in \cite{dangHomogenizationNondiluteSuspension2021} concerning the homogenization of a non-dilute suspension of magnetic…