1 citations · 1 across the 9 of their papers we have counts for
11 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…
Homogenization for a Variational Problem with a Slip Interface Condition
Miao-jung Yvonne Ou, Silvia Jiménez Bolaños
Inspired by applications, we study the effect of interface slip on the effective wave propagation in poroelastic composites. The current literature on the homogenization for the po…
Bloch Waves in High Contrast Electromagnetic Crystals
Robert Lipton, Robert Viator, Silvia Jimenez Bolanos +1
Analytic representation formulas and power series are developed describing the band structure inside non-magnetic periodic photonic three-dimensional crystals made from high dielec…
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…
Homogenization of Non-dilute Suspension of Viscous Fluid with Magnetic Particles
Thuyen Dang, Yuliya Gorb, Silvia Jimenez Bolanos
This paper seeks to carry out the rigorous homogenization of a particulate flow consisting of a non-dilute suspension of a viscous Newtonian fluid with magnetizable particles. The…
Relative Bending Energy for Weakly Prestrained Shells
Silvia Jimenez Bolanos, Anna Zemlaynova
In this paper, we derive a dimensionally reduced model for a thin film prestrained with a given incompatible Riemannian metric: $$G^h(x',x_3)=I_3+2h^γ\,S(x')+2h^{γ/2}\,x_3B(x')+h.o…
Nonlinear Neutral Inclusions: Assemblages of Coated Ellipsoids
Silvia Jiménez Bolaños, Bogdan Vernescu
The problem of determining nonlinear neutral inclusions in (electrical or thermal)conductivity is considered. Neutral inclusions, inserted in a matrix containing a uniform applied…