Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 25 for “"Gaussian curvature"”.
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Impact of gaussian curvature lipids on lipid nanoparticle mediated RNA delivery
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2026-12-01
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Structural Investigation of Negative Gaussian Curvature Shells as Liquid-Storage Vessels
Shells of negative Gaussian curvature, such as hyperboloid of revolution, can be seen in most parts of the world in application in the energy industry as cooling towers supported on the large surface area on the ground (Zingoni, 2018). Hyperboloid of revolution shell has been found to resist …
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Effects of Non-uniform Gaussian Curvature on the Collective Motion of Active Particles
Underlying curvature non-trivially affects the behaviour of active systems due to the incompatibility of order and non-zero curvature. While active particles on a plane have been extensively studied in the past, little work has been done to understand the effects of curvature on their collective …
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Conformal pseudo-metrics and some applications
… \mathbb{C}$ with prescribed non-positive Gaussian curvature $k(z)$ and prescribed singularities by solving the first boundary value problem for the Gaussian curvature equation $\Delta u =-k(z) e^{2u}$ in $G$ with prescribed singularities and continuous boundary data. This is related to the …
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Linear and bilinear restriction estimates for the Fourier transform
… restriction estimate for surfaces with positive Gaussian curvature that improves over estimates proven by Bourgain and Guth, and gives the best known exponents for the well-known restriction conjecture for dimensions that are multiples of three.
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Vibration of stressed shells of double curvature
Shells of double curvature are common structural elements in aerospace and related industries, but due to the complexity of their configurations and governing equations, little has been done to classify their general dynamic behavior. The subject of this dissertation is the determination of the …
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Continuation from discrete sets and inverse problems
… this potential and surface based on given Gaussian curvature and discrete Cauchy data on $z_n$ assuming that S is a Willmore surface $r : \mathbb{D} \rightarrow R^3$ We reduce this problem to several problems of the type: $|\partial \bar{u}|\leq a|u|,$ $\forall{z}\in\mathbb{D},$ $n = 1,2,3$ …
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Structural Transitions in Self-Assembled Lipid Systems Driven by Induced Curvature: From Cell -Penetrating Peptides to Programmable Vesicles
… activity correlates with induction of negative Gaussian curvature. The negative Gaussian membrane curvature is broadly enabling and its induction can lower the free energy barriers for a range of different entry mechanisms, such as direct translocation as well as endocytotic pathways. …
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Wrinkling Patterns on Curved Surface with Gradient Curvature under Compression
… surface, i.e., tori and cones, with varying curvatures and global deformation. By tuning the geometry confine-ment and material properties, we can control the surface morphologies in these systems which can potentially be applied to wide applications in bio-inspired devices, microfluidic, and …
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Geometric Properties of the Ferrand Metric
… is not differentiable and that the Ferrand Gaussian curvature is negative infinity at a point. We prove that a closed Euclidean ball, closed half-space, or the complement of an open Euclidean ball contained in a domain is convex with respect to the Ferrand metric. As a result, the arc-length …
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Aeroelastic optimization of thin flapping structure
… designs deform passively into shapes with finite Gaussian curvature and further enhance the generated flow. Finally, we explored the effect of corrugation on the flapping plate and found that the fan employs the interesting mechanism of reversible buckling to simultaneously increase the velocity …
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Depth sensor based object detection using surface curvature
… we propose a feature, Histogram of Oriented Curvature (HOC), designed specifically to capture local surface shape for object detection with depth sensor. We form the HOC feature as a concatenation of the local histograms of Gaussian curvature and mean curvature. The linear Support Vector …
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Multistable and morphing corrugated shell structures
… modes of multistability for uniform changes in curvature throughout the shell, and a plastic flow model describes the formation of the internal stresses; (ii) 'curved' corrugated sheets, 'which can morph between shapes of differing Gaussian curvature without plastic deformation. Again, a …
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Foldable Structures and Materials
… the complexity of manufacturing parts which have Gaussian curvature. By beginning with a simple flat plane and then folding it, there is the possibility to fabricate geometries which are globally doubly curved but locally developable. Additionally, there are numerous variations possible with one …
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A SANS study of the interfacial curvatures and the phase behavior in bicontinuous microemulsions
… parameters to be measured are the interfacial curvatures : Gaussian, mean, and square mean curvatures. A new small-angle neutron scattering (SANS) data analysis method to extract the interfacial curvatures was developed and applied to various microemulsions. The method involves the use of a …
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Experimental and theoretical studies of elastic instability in growing yeast colonies and thin sheets
… pioneered by Pogorelov, who showed that any zero gaussian curvature surfaces are solutions of the von Karman equations. When two such surfaces intersect, the adjoint surfaces remains a solution everywhere except at the boundary of intersection. However, for small plate thickness and the asymptotic …
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Structural transitions in self-assembled lipid systems driven by induced curvature: from cell-penetrating peptides to programmable vesicles
… the effect of membrane charge and intrinsic curvature. We find that the TAT peptide induces negative Gaussian (‘saddle-splay’) membrane curvature, which is topologically required for pore formation. TAT peptide drastically remodels vesicles into a porous ‘sponge-like’ bicontinuous manifold. …
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The Perception and Recognition of 3-D Shape from Shadows Cast onto Curved Surfaces
… surfaces (with both positive and negative Gaussian curvature) affect the perception and recognition of 3-D object shape from deforming and/or static cast shadows. In this experiment, the observers viewed either deforming or static shadows of naturally shaped objects (bell-peppers) cast onto …
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Deterministic design of peptide-membrane interactions
… topologically active saddle-splay ('negative Gaussian') curvature in membranes rich in negative curvature lipids and anionic lipids, compositions characteristic of bacterial cell membranes. A mechanism of action based on saddle-splay membrane curvature generation is broadly enabling, since it …
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Pattern-forming in non-equilibrium quantum systems and geometrical models of matter
… are then constructed in terms of the area and Gaussian curvature of preferred representatives of middle dimension homology. Finally, an idea for constructing multi-particle models by gluing single-particle ones is discussed.
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