Work

Local bifurcation structure and stability of charged drops

Year: 2025

Type: article

Abstract: According to the range of dielectric coefficient [Formula: see text], we determine the shape and stability of charged drops. We first obtain a sequence of bifurcation points [Formula: see text] and bifurcation curves [Formula: see text]. Then we determine the stable or unstable ranges of the charged drop based on the local bifurcation structure. In particular, we give a confirmed answer to a conjecture proposed by Tsamopoulos et al.

Source: Bulletin of Mathematical Sciences

DOI: 10.1142/s1664360725500079

Authors: Guowei Dai, Yingxin Sun

Institution: Dalian University of Technology

Language: English

Topic: Electrohydrodynamics and Fluid Dynamics

Subfield: Electrical and Electronic Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G4772512679