Spilling from a cognac glass

Abstract

In the paper we study the shape of the fundamental sloshing mode of a liquid in a container. Our approach is based on a mathematical model which is an appropriate Steklov eigenvalue problem. We present numerical results, a physical experiment, photos of a surface of oscillating liquid and also rigorous mathematical results. We describe the relation of the above problem with the celebrated hot spots conjecture.

References in corpus (2)

• Spectral properties of the Cauchy process
• On high spots of the fundamental sloshing eigenfunctions in axially symmetric domains

Cited by in corpus (1)

• Nearly radial Neumann eigenfunctions on symmetric domains