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- W2330588295 abstract "One of the intriguing questions in fluid dynamics is on the interrelation between dynamic singularities in the solutions of fluid dynamic equations - unboundedness of the velocity field in an appropriate norm - and the geometric ones - divergence of curvature at fluid interfaces. The present work focuses on two generic interfacial singularities - genuine cusps and cuspidal edges - found here in both two and three dimensions thus establishing a relation between real fluid interfaces and geometric singularity theory. The key finding is the necessary condition for the existence of geometric singularities, which is a variation of surface tension. It is also established here that the dynamic and geometric singularities entail each other only in the case of three-dimensional cusps. Explicit asymptotic solutions for the flow field and interface shape near steady-state singularities at fluid interfaces are developed as well. The practical motivation for the present study comes from the fundamental role interfacial singularities play in sustaining self-driven conversion of chemical into mechanical energy." @default.
- W2330588295 created "2016-06-24" @default.
- W2330588295 creator A5082024440 @default.
- W2330588295 date "2015-04-27" @default.
- W2330588295 modified "2023-09-24" @default.
- W2330588295 title "Cusps and cuspidal edges at fluid interfaces: Existence and application" @default.
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- W2330588295 doi "https://doi.org/10.1103/physreve.91.043019" @default.
- W2330588295 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/25974592" @default.
- W2330588295 hasPublicationYear "2015" @default.
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