Non-spherical equilibrium shapes in the liquid drop model

Frank, Rupert L. (2019): Non-spherical equilibrium shapes in the liquid drop model. In: Journal of Mathematical Physics, Bd. 60, Nr. 7, 071506

Abstract

We prove the existence of a family of volume-constrained critical points of the liquid drop functional, which are cylindrically but not spherically symmetric. This family bifurcates from the ball and exchanges stability with it. We justify a formula of Bohr and Wheeler for the energy of these sets. Published under license by AIP Publishing.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik > Analysis, Mathematische Physik und Numerik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0022-2488
• Sprache: Englisch