2015/05/12 by Helmut Abels, Abels, Helmut, Nasrin Arab +3
Engineering · Environmental Science · Materials Science · Mathematics · #35B35 #37L10 #53A10 #53C44 #58E12 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Mixing #Minerals Flotation and Separation Techniques #Pickering emulsions and particle stabilization #math.AP #msc:35B35 #msc:37L10 #msc:53A10 #msc:53C44 #msc:58E12
paper · pdf · doi:10.48550/arxiv.1505.02979
48 pages, Section 6.1 and references for the introduction are added
openalex publication_date 2015/05/12 · arxiv created 2015/09/15 · arxiv updated 2015/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Although standard planar double bubbles are stable in the sense that the second variation of the perimeter functional is non-negative for all area-preserving perturbations the question arises whether they are dynamically stable. By presenting connections between these two concepts of stability for double bubbles, we prove that standard planar double bubbles are stable under the surface diffusion flow via the generalized principle of linearized stability in parabolic Hölder spaces.