Results 81 to 90 of about 6,968,776 (158)

Volume-preserving flow by powers of the mth mean curvature

, 2010
We consider the evolution of a closed convex hypersurface under a volume preserving curvature flow. The speed is given by a power of the mth mean curvature plus a volume preserving term, including the case of powers of the mean curvature or of the Gauss ...
Sinestrari, C, Esther Cabezas-Rivas, Cabezas-Rivas, E, Carlo Sinestrari, Sinestrari, Carlo, Cabezas Rivas, E, Cabezas-Rivas, Esther   +6 more
core   +1 more source

Lectures on Mean Curvature Flow (MAT 1063 HS)

, 2013
The mean curvature flow arises material science and condensed matter physics and has been recently successfully applied by Huisken and Sinestrari to topological classification of surfaces and submanifolds.
I. M. Sigal
core  

Lectures on mean curvature flows

, 2002
"Mean curvature flow" is a term that is used to describe the evolution of a hypersurface whose normal velocity is given by the mean curvature. In the simplest case of a convex closed curve on the plane, the properties of the mean curvature flow are ...
Zhu, Xi-Ping, Xi-Ping Zhu
core   +1 more source

Learning mean and volatility fields of velocity and pressure for stochastic Darcy–Forchheimer flow on smooth surfaces

Array
We propose a machine-learning surrogate framework for stochastic Darcy–Forchheimer flow on smooth closed surfaces, based on high-fidelity mixed finite element Monte Carlo data.
Marcial Nguemfouo
doaj   +1 more source

Performance of various SST models in predicting typical separated flows

Kongqi donglixue xuebao
The phenomenon of flow separation critically influences the flow field structure near aircraft surfaces and their overall performance. This study evaluated the predictive performance of the widely used shear-stress transport (SST) turbulence model and ...
Wenhao Li, Caiyan Rao, Yi Duan, Ding Wang, Yuan Gao, Jian Zhang   +5 more
doaj   +1 more source

A comparison principle for singular parabolic equations in the Heisenberg group

Electronic Journal of Differential Equations, 2015
In this work, we prove a comparison principle for singular parabolic equations with boundary conditions in the context of the Heisenberg group. In particular, this result applies to interesting equations, such as the parabolic infinite Laplacian, the
Pablo Ochoa
doaj  

Effects of pedicle subtraction osteotomy on aortic morphology and hemodynamics in ankylosing spondylitis with kyphosis: a finite element analysis study

Scientific Reports
Osteotomy can correct kyphosis, restore the spinal sequence, and restore the healthy appearance of a patient. However, the aorta is stretched during pedicle subtraction osteotomy (PSO), and some surgeons are concerned about aortic injury.
Weiran Hu, Guang Yang, Xinge Shi, Hongqiang Wang, Kai Zhang, Yanzheng Gao   +5 more
doaj   +1 more source

Computational Flow Diverter Implantation—A Comparative Study on Pre-Interventional Simulation and Post-Interventional Device Positioning for a Novel Blood Flow Modulator

Fluids
Due to their effect on aneurysm hemodynamics, flow diverters (FD) have become a routine endovascular therapy for intracranial aneurysms. Since over- and undersizing affect the device’s hemodynamic abilities, selecting the correct device diameter and ...
Maximilian Thormann, Janneck Stahl, Laurel Marsh, Sylvia Saalfeld, Nele Sillis, Andreas Ding, Anastasios Mpotsaris, Philipp Berg, Daniel Behme   +8 more
doaj   +1 more source

Mean Curvature Flow in Euclidean spaces, Lagrangian Mean Curvature Flow, and Conormal Bundles [PDF]

I will present the mean curvature flow in Euclidean spaces and the Lagrangian mean curvature flow. We will first study the mean curvature evolution of submanifolds in Euclidean spaces, with an emphasis on the case of hypersurfaces. Along the way we will
Leung, Chun Ho
core  

Varifold solutions to volume-preserving mean curvature flow: existence and weak-strong uniqueness. [PDF]

Math Ann
Poiatti A.
europepmc   +1 more source