Results 61 to 70 of about 930,850 (347)

Vortex sheets and diffeomorphism groupoids

, 2018
In 1966 V.Arnold suggested a group-theoretic approach to ideal hydrodynamics in which the motion of an inviscid incompressible fluid is described as the geodesic flow of the right-invariant $L^2$-metric on the group of volume-preserving diffeomorphisms ...
Izosimov, Anton, Khesin, Boris
core   +1 more source

A Morse complex for infinite dimensional manifolds - Part I [PDF]

, 2003
In this paper and in the forthcoming Part II we introduce a Morse complex for a class of functions f defined on an infinite dimensional Hilbert manifold M, possibly having critical points of infinite Morse index and coindex.
Abbondandolo, Abbondandolo, Alberto Abbondandolo, Angenent, Bessaga, Bott, Bott, Bott, Chang, Cohen, Cornea, Deimling, Dold, Floer, Floer, Floer, Floer, Franks, Franks, Jost, Kato, Klingenberg, Klingenberg, Kuiper, Lasry, Luft, Mawhin, Milnor, Milnor, Morse, Nemirovski, Palais, Palais, Pietro Majer, Pressley, Quillen, Robbin, Schwarz, Segal, Shub, Shubin, Smale, Smale, Smale, Smale, Smale, Thom, Witten   +47 more
core   +4 more sources

Elasticity of Diametrically Compressed Microfabricated Woodpile Lattices

Advanced Engineering Materials, EarlyView.
Modulus–porosity relationship is derived for woodpile lattices with struts under diametrical compression. The formula presented here that Young's modulus is proportional to the square of the volume fraction E˜ρ2$E \sim \left(\rho\right)^{2}$ is shown to be consistent with computations and laboratory experiments on 3D‐printed samples.
Faezeh Shalchy, Atul Bhaskar
wiley   +1 more source

Symplectic geometric flows [PDF]

arXiv, 2021
Several geometric flows on symplectic manifolds are introduced which are potentially of interest in symplectic geometry and topology. They are motivated by the Type IIA flow and T-duality between flows in symplectic geometry and flows in complex geometry. Examples include the Hitchin gradient flow on symplectic manifolds, and a new flow which is called
arxiv  

LBM, a useful tool for mesoscale modelling of single phase and multiphase flow – the variety of applications and approaches at Nottingham [PDF]

, 2009
This paper was presented at the 2nd Micro and Nano Flows Conference (MNF2009), which was held at Brunel University, West London, UK. The conference was organised by Brunel University and supported by the Institution of Mechanical Engineers, IPEM, the ...
2nd Micro and Nano Flows Conference (MNF2009), Dong, B, Yan, Y, Zu, Y   +3 more
core  

Irreversibility of World-sheet Renormalization Group Flow

, 2005
We demonstrate the irreversibility of a wide class of world-sheet renormalization group (RG) flows to first order in $\alpha'$ in string theory. Our techniques draw on the mathematics of Ricci flows, adapted to asymptotically flat target manifolds.
Adams, Bakas, Callan, E. Woolgar, Ecker, Fradkin, Friedan, Gutperle, Hamilton, Headrick, Ivey, Jost, Morozov, Perelman, Polchinski, T. Oliynyk, Tseytlin, V. Suneeta, Zamolodchikov   +18 more
core   +1 more source

Bridging Nature and Technology: A Perspective on Role of Machine Learning in Bioinspired Ceramics

Advanced Engineering Materials, EarlyView.
Machine learning (ML) is revolutionizing the development of bioinspired ceramics. This article investigates how ML can be used to design new ceramic materials with exceptional performance, inspired by the structures found in nature. The research highlights how ML can predict material properties, optimize designs, and create advanced models to unlock a ...
Hamidreza Yazdani Sarvestani, Aditi Singh, Behnam Ashrafi   +2 more
wiley   +1 more source

Hyper-elliptic Nambu flow associated with integrable maps [PDF]

, 2004
We study hyper-elliptic Nambu flows associated with some $n$ dimensional maps and show that discrete integrable systems can be reproduced as flows of this class.
arxiv   +1 more source

A Case‐Based Reasoning Approach to Model Manufacturing Constraints for Impact Extrusion

Advanced Engineering Materials, EarlyView.
A hybrid modeling approach is presented that combines constraint‐based process modeling and case‐based reasoning. The model formalizes manufacturing constraints and integrates simulation data to model complex manufacturing processes. The approach supports manufacturability analysis during product design through an adaptive modeling environment.
Kevin Herrmann, Eduard Ortlieb, Hendrik Wester, Paul Christoph Gembarski, Bernd‐Arno Behrens, Roland Lachmayer   +5 more
wiley   +1 more source

Variational Principles for Water Waves [PDF]

SIAM journal on mathematical analysis 38 (3) (2006) pp. 906-920, 2007
We describe the Hamiltonian structures, including the Poisson brackets and Hamiltonians, for free boundary problems for incompressible fluid flows with vorticity. The Hamiltonian structure is used to obtain variational principles for stationary gravity waves both for irrotational flows as well as flows with vorticity.
arxiv   +1 more source