Affine Focal Points for Locally Strictly Convex Surfaces in 4-Space
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DOI: 10.1007/s00025-016-0606-z
Abstract: We consider locally strictly convex surfaces M in affine 4-space. By using the metric of the transversal vector field on M we introduce a new affine normal plane and the familly of affine distance functions… read more here.
Keywords: affine focal; strictly convex; locally strictly; affine normal ... See more keywords
The conjugate locus on convex surfaces
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DOI: 10.1007/s10711-018-0368-8
Abstract: The conjugate locus of a point on a surface is the envelope of geodesics emanating radially from that point. In this paper we show that the conjugate loci of generic points on convex surfaces satisfy… read more here.
Keywords: locus; conjugate locus; convex surfaces; locus convex ... See more keywords
Limit theorems for random polytopes with vertices on convex surfaces
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DOI: 10.1017/apr.2018.58
Abstract: Abstract We consider the random polytope Kn, defined as the convex hull of n points chosen independently and uniformly at random on the boundary of a smooth convex body in ℝd. We present both lower… read more here.
Keywords: polytopes vertices; theorems random; limit theorems; vertices convex ... See more keywords
The regular reflection→Mach reflection transition in unsteady flow over convex surfaces
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DOI: 10.1017/jfm.2017.835
Abstract: The non-stationary transition from regular reflection (RR) to Mach reflection (MR) over convex segments has been the focus of many recent studies. Until recently, the problem was thought to be very complicated because it was… read more here.
Keywords: transition; mach; reflection; convex surfaces ... See more keywords
Experimental and numerical investigation of liquid jet impingement on superhydrophobic and hydrophobic convex surfaces
Sign Up to like & getrecommendations! Published in 2017 at "Fluid Dynamics Research"
DOI: 10.1088/0169-5983/49/1/015502
Abstract: Experiments and numerical simulations were carried out to examine the vertical impingement a round liquid jet on the edges of horizontal convex surfaces that were either superhydrophobic or hydrophobic. The experiments examine the effects on… read more here.
Keywords: superhydrophobic hydrophobic; jet; jet impingement; convex surfaces ... See more keywords
A Method of a Tangent Cylinder in the Theory of Wave Scattering by Convex Surfaces
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DOI: 10.1109/tap.2018.2872739
Abstract: The solution to the problem of wave scattering from an object requires the calculation of the total field at the surface of the object. This task generally does not have an exact, explicit solution. In… read more here.
Keywords: wave scattering; tangent cylinder; solution; cylinder ... See more keywords
Evolving convex surfaces to constant width ones
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DOI: 10.1142/s0129167x17500823
Abstract: Given an n-dimensional convex surface X0 in the Euclidean space ℝn+1, this initial surface can be deformed into a convex surface with constant width by a new evolution model which preserves the convexity of the… read more here.
Keywords: surface; convex; constant width; surfaces constant ... See more keywords
Parallel Locally Strictly Convex Surfaces in Four-Dimensional Affine Space Contained in Hyperquadrics
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DOI: 10.3390/sym13091575
Abstract: Locally strictly convex surfaces in four-dimensional affine space are studied from a perspective of the affine structure invented by Nuño-Ballesteros and Sánchez, which is especially suitable in convex geometry. The surfaces that are embedded in… read more here.
Keywords: strictly convex; locally strictly; four dimensional; affine ... See more keywords