Stability of Cylinders in E(κ, τ ) Homogeneous Spaces

Bueno, Antonio; López Camino, Rafael

doi:10.1007/s00009-025-02829-y

s00009-025-02829-y.pdf (409.7Kb)

Identificadores

URI: https://hdl.handle.net/10481/103436

DOI: 10.1007/s00009-025-02829-y

Exportar

Editorial

Springer Nature

Materia

E(κ, τ ) spaces

Stability

Plateau–Rayleigh instability

Fecha

2025-03-21

Referencia bibliográfica

Bueno, A., López, R. Stability of Cylinders in Homogeneous Spaces. Mediterr. J. Math. 22, 59 (2025). [https://doi.org/10.1007/s00009-025-02829-y]

Patrocinador

Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature; MCIN/AEI "ERDF A way of making Europe" PID2021-124157NB-I00; CARM, Programa Regional de Fomento de la Investigacion, Fundacion Seneca-Agencia de Ciencia y Tecnologia Region de Murcia 21937/PI/22; CUD San Javier research project PI082024; MINECO/MICINN/FEDER PID2023-150727NB-I00; The "Maria de Maeztu" Excellence Unit IMAG - MCINN/AEI CEX2020-001105-M

Resumen

We extend the classical Plateau–Rayleigh instability criterion in the E(κ, τ ) spaces.We prove the existence of a positive number L0 > 0 such that if a truncated circular cylinder of radius ρ in E(κ, τ) has length L > L0, then it is unstable. This number L0 depends on κ, τ and ρ. The value L0 is sharp under axially symmetric variations of the surface. We also extend this result for the partitioning problem in E(κ, τ ).

Colecciones

DGT - Artículos

Excepto si se señala otra cosa, la licencia del ítem se describe como Atribución 4.0 Internacional