Results 41 to 50 of about 43,149 (167)
A geometric flow on null hypersurfaces of Lorentzian manifolds
Topological Algebra and its Applications, 2022 We introduce a geometric flow on a screen integrable null hypersurface in terms of its local second fundamental form. We use it to give an alternative proof to the vorticity free Raychaudhuri’s equation for null hypersurface, as well as establishing ...
Massamba Fortuné, Ssekajja Samuel
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α-Mean curvature flow of non-compact complete convex hypersurfaces and the evolution of level sets
Advances in Nonlinear AnalysisWe consider the α\alpha -mean curvature flow for convex graphs in Euclidean space. Given a smooth, complete, strictly convex, non-compact initial hypersurface over a strictly convex projected domain, we derive uniform curvature bounds, which are ...
Kang Hyunsuk, Lee Ki-Ahm, Lee Taehun
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Analysis of Vaneless Diffuser Stall Instability in a Centrifugal Compressor
International Journal of Turbomachinery, Propulsion and Power, 2017 Numerical simulations based on the large eddy simulation approach were conducted with the aim to explore vaneless diffuser rotating stall instability in a centrifugal compressor.
Elias Sundström +4 more
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ISPRS International Journal of Geo-Information, 2020 This paper proposes a flow-path-network-based (FPN-based) algorithm, constructed from a square-grid digital elevation model (DEM) to improve the simulation of the flow path curvature (C).
Qianjiao Wu +4 more
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Singular perturbations of mean curvature flow
Journal of Differential Geometry, 2007 We introduce a regularization method for mean curvature flow of a submanifold of arbitrary codimension in the Euclidean space, through higher order equations. We prove that the regularized problems converge to the mean curvature flow for all times before the first singularity.
GIOVANNI BELLETTINI +2 more
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Comparison of lingual mucosa and buccal mucosa grafts used in inlay urethroplasty in failed hypospadias of pre-pubertal boys in a Chinese group. [PDF]
PLoS ONE, 2017 The purpose of this study was to compare the outcomes of the buccal mucosa and lingual mucosa used in children who received multiple failed hypospadias surgeries.We conducted a retrospective study of 62 children who received buccal or lingual mucosa ...
Jin Hongyong +4 more
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Mean curvature flow on Ricci solitons [PDF]
Journal of Physics A: Mathematical and Theoretical, 2009 19 ...
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The Influence of Exit Nozzle Geometry on Sweeping Jet Actuator Performance
Fluids, 2022 When pressurized with a fluid, the sweeping jet actuator (SWJA) emits a self-induced and self-sustained temporally continuous, but spatially oscillating bi-stable jet at the outlet.
Mobashera Alam, Kursat Kara
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Is mean curvature flow a gradient flow?
Proceedings of the American Mathematical SocietyIt is well-known that the mean curvature flow is a formal gradient flow of the perimeter functional. However, by the work of Michor and Mumford [Doc. Math. 10 (2005), 217–245; J. Eur. Math. Soc. (JEMS) 8 (2006), 1–48], the formal Riemannian structure that is compatible with the gradient flow structure induces a degenerate metric on the space of ...
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Fattening in mean curvature flow
32 pages, 2 figures.
Ilmanen, Tom, White, Brian
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