Results 71 to 80 of about 6,607,246 (296)

Forced anisotropic mean curvature flow of graphs in relative geometry [PDF]

, 2014
summary:The paper is concerned with the graph formulation of forced anisotropic mean curvature flow in the context of the heteroepitaxial growth of quantum dots. The problem is generalized by including anisotropy by means of Finsler metrics.
Beneš, Michal, Hoang, Dieu Hung
core   +1 more source

Locally constrained flows and Michael–Simon type inequalities in hyperbolic space Hn+1 ${\mathbb{H}}^{n+1}$

Advances in Nonlinear Analysis
Brendle [Sobolev inequalities in manifolds with nonnegative curvature, Comm. Pure Appl. Math. 76 (2022), no. 9, 2192–2218] successfully establishes the sharp Michael–Simon inequality for mean curvature on Riemannian manifolds with nonnegative sectional ...
Cui Jingshi, Zhao Peibiao
doaj   +1 more source

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, Mihai Mihăescu, Marco Giachi, Elisabetta Belardini, Vittorio Michelassi   +4 more
doaj   +1 more source

Is mean curvature flow a gradient flow?

Proceedings of the American Mathematical Society
It 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 ...
openaire   +2 more sources

Fattening in mean curvature flow

32 pages, 2 figures.
Ilmanen, Tom, White, Brian
openaire   +2 more sources

APPROXIMATION OF THE ANISOTROPIC MEAN CURVATURE FLOW [PDF]

Mathematical Models and Methods in Applied Sciences, 2007
In this paper, we provide simple proofs of consistency for two well-known algorithms for mean curvature motion, Almgren–Taylor–Wang's1 variational approach, and Merriman–Bence–Osher's algorithm.29 Our techniques, based on the same notion of strict sub- and superflows, also work in the (smooth) anisotropic case.
CHAMBOLLE A, NOVAGA, MATTEO
openaire   +2 more sources

IMPDH inhibition enhances cytarabine efficacy in SAMHD1‐expressing leukaemia cells via guanine nucleotide depletion

Molecular Oncology, EarlyView.
Cytarabine is a key therapy for acute myeloid leukaemia (AML), but its efficacy is limited by the dNTPase SAMHD1, which hydrolyses its active metabolite. Screening nucleotide biosynthesis inhibitors revealed that IMPDH inhibitors selectively sensitise SAMHD1‐proficient AML cells to cytarabine.
Miriam Yagüe‐Capilla, Christopher Dirks, Caroline Eiden, Sonja K. Fesenmayer, Femke M. Hormann, Yolande Klootsema, Ingrid Lilienthal, Si Min Zhang, Nikolas Herold, Sean G. Rudd   +9 more
wiley   +1 more source

A New Algorithm for Calculating the Flow Path Curvature (C) from the Square-Grid Digital Elevation Model (DEM)

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, Yumin Chen, Hongyan Zhou, Shujie Chen, Han Wang   +4 more
doaj   +1 more source

Differential expression of cancer‐related genes supports prediction of poor response to first‐line treatments in T‐ALL pediatric patients with high minimal residual disease

Molecular Oncology, EarlyView.
In the present work, we have identified a transcriptional signature based on the differential expression of six genes (BCL2&MAST4, HSH2D&LAT2, METRN&PITPNM2) that would facilitate the early detection of T‐cell acute lymphoblastic leukemia (T‐ALL) patients prone to a poor treatment response and could be implemented at diagnosis, along with other risk ...
Antonio Lahera, Laura Vela‐Martín, Pablo Fernández‐Navarro, José Luis López‐Lorenzo, Javier Cornago, Pilar Llamas, Eduardo Pérez‐Gómez, José Luis Marín‐Rubio, Manuel Fresno, Javier Santos, José Fernández‐Piqueras, María Villa‐Morales   +11 more
wiley   +1 more source

A Convergence Theorem for Mean Curvature Flow of Submanifolds in Complex Projective Spaces

Mathematics
Mean curvature flow (MCF) is an effective tool for investigating the geometry and topology of submanifolds under suitable curvature pinching conditions.
Qihui Hu, Aoxue Sun, Huijuan Wang
doaj   +1 more source