3 papers
math.AP2021
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…
math.AP2021
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…
math.AP2019
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…