2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AP2025
Quantitative homogenisation for differential equations with highly anisotropic partially degenerating coefficients
Shane Cooper, Ilia Kamotski
We consider a non-uniformly elliptic second-order differential operator with periodic coefficients that models composite media consisting of highly anisotropic cylindrical fibres p…
physics.optics2025
On photonic band gaps in two-dimensional photonic crystal fibres. Analysis in the vicinity of the low-dielectric light line
Shane Cooper, Ilia Kamotski
We consider `off-axis' electromagnetic wave propagation down the homogeneous direction of a low-loss two-dimensional periodic dielectric (or photonic crystal fibre) near the light…
math.AP2013★ 2 cited
Estimate for a solution to the water wave problem in the presence of a submerged body
Ilia Kamotski, Vladimir Maz'ya
We study the two-dimensional problem of propagation of linear water waves in deep water in the presence of a submerged body. Under some geometrical requirements, we derive an expli…