Marangoni-driven singularities via mean-curvature flow
نویسنده
چکیده
In this work, it is demonstrated that the existence and topology of the recently observed interfacial singularities driven by Marangoni effects can be deduced using mean-curvature flow theory extended to account for variations of interfacial tension. This suggests that some of the physical mechanisms underlying the formation of these interfacial singularities may originate from/be modeled by the surface tension flow. The proposed approach also determines the conditions on the surface tension material behavior under which singularities may form, as well as the asymptotic behavior near singularities. Besides the application to Marangoni-driven singularities, the offered generalization of the mean-curvature flow is also of independent geometric interest. PACS numbers: 02.40.Xx, 02.40.Hw, 47.55.dk
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