2013/11/28 by Tadeusz Kulczycki, Kulczycki, Tadeusz, Mateusz Kwasnicki +3
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP
paper · pdf · doi:10.48550/arxiv.1311.7296
arxiv created 2013/11/28 · arxiv updated 2013/12/02
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.