4 papers
Weinstock inequality in hyperbolic space II
Pingxin Gu, Haizhong Li, Yao Wan
In this paper, we establish the Weinstock inequality for the first non-zero Steklov eigenvalue on star-shaped mean convex domains in hyperbolic space for .…
Defect Localization by Vanishing Deviatoric Stress in Active Nematics
Sameer Kumar, Manas Khan
Collective stress generation in cellular monolayers is a key phenomenological process governing coordinated migration and emergent multicellular dynamics. We employ a generic activ…
Hydrodynamic bend instability of motile particles on a substrate
Sameer Kumar, Niels de Graaf Sousa, Amin Doostmohammadi
The emergence of hydrodynamic bend instabilities in ordered suspensions of active particles is widely observed across diverse living and synthetic systems, and is considered to be…
Proof of the bounded conformal conjecture
Sameer Kumar
Given any asymptotically flat 3-manifold with smooth, non-empty, compact boundary , the conformal conjecture states that for every , there exists a metric $g' = u…