Results 71 to 80 of about 6,968,776 (158)
Discrete differential geometry of fluvial landscapes [PDF]
Geomorphology as a discipline is defined by the use of topographic form to understand surface processes on Earth and other planets. In practice this requires drawing connections between quantitative metrics of surface geometry and rates of erosion and ...
N. Klema +3 more
doaj +1 more source
Translating solutions to Lagrangian mean curvature flow [PDF]
We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an $ L^2$ bound on the mean curvature are planes and that almost-calibrated translating solutions ...
Tian, G, Neves, A
core +3 more sources
A note on Alexandrov immersed mean curvature flow
We demonstrate that the property of being Alexandrov immersed is preserved along mean curvature flow. Furthermore, we demonstrate that mean curvature flow techniques for mean convex embedded flows such as noncollapsing and gradient estimates also hold in
Mäder-Baumdicker, Elena, Lambert, Ben
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CFD-based investigation of turbulent flow behavior in 90-deg pipe bends
This work investigated the influence of bend curvature on the parameters of turbulent flow through a 90° pipe bend using the numerical CFD method, implemented in ANSYS Fluent. The numerical predictions were validated to be in good agreement with existing
Rilwan Kayode Apalowo +1 more
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A CFD Description of the Breach Flow of an Overtopped Embankment Dam
We investigate the flow over a breached dam through combined measurements and numerical simulations, revealing key topological features of the mean flow, including separation and stagnation surfaces, attached vortices, secondary currents, and boundary ...
Rui M. L. Ferreira +3 more
doaj +1 more source
Universality in mean curvature flow . . . [PDF]
We study noncompact surfaces evolving by mean curvature flow. Without any symmetry assumptions, we prove that any solution that is C 3-close at some time to a standard neck will develop a neckpinch singularity in finite time, will become asymptotically ...
Zhou Gang, Dan Knopf
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Interface evolution of microdroplets in flow-focusing channels with varying aspect ratios
This study combines experimental observations and numerical simulations to comprehensively analyse the interface evolution of confined droplets in microfluidic devices with flow-focusing junctions under different aspect ratios.
Luyao He +3 more
doaj +1 more source
Singular perturbations of mean curvature flow
We consider a regularization method for mean curvature flow of a submanifold of arbitrary codimension in the Euclidean space, through higher order ...
G. Bellettini +14 more
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We describe new annular examples of complete translating solitons for the mean curvature flow and how they are related to a family of translating graphs, the Δ-wings.
Hoffman David +2 more
doaj +1 more source
Crystalline mean curvature flow of convex sets
We prove a local existence and uniqueness result of crystalline mean curvature flow starting from a compact convex admissible set in RN. This theorem can handle the facet breaking/bending phenomena, and can be generalized to any anisotropic mean ...
Vicent Caselles, Antonin Chambolle, Matteo Novaga +1 more
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