4 papers
A Vibrating Clamped Plate Resembles a Vibrating Membrane at High Frequency
Or Kuperman, Zhengjiang Lin, Dan Mangoubi
We study the clamped plate eigenvalue problem. We show that clamped plate eigenfunctions can be approximated in the -sense by their oscillatory components, which solve the Hel…
Whispering Gallery Modes for Semilinear Dirichlet Eigenvalue Problems
Zhengjiang Lin
We study the boundary localization phenomenon, known as whispering gallery modes, for weak solutions to semilinear Dirichlet eigenvalue problems in the unit ball $B_1 \subseteq \ma…
Nonreciprocal entanglement in exciton optomechanics with an optical parametric amplifier
Zhen-Sen Lin, Rui Zhang, Zi-Wei Jiang +4
We study nonreciprocal bipartite and tripartite entanglement in a spinning exciton-optomechanical system (EOMS) with an optical parametric amplifier (OPA). We demonstrate that nonr…
Bifurcation of perturbations of non-generic closed self-shrinkers
Zhengjiang Lin, Ao Sun
We discover a bifurcation of the perturbations of non-generic closed self-shrinkers. If the generic perturbation is outward, then the next mean curvature flow singularity is cylind…