Results 91 to 100 of about 4,543,360 (329)

On the Dimension of the Pullback Attractors for g-Navier-Stokes Equations

open access: yesDiscrete Dynamics in Nature and Society, 2010
We consider the asymptotic behaviour of nonautonomous 2D g-Navier-Stokes equations in bounded domain Ω. Assuming that f∈Lloc2, which is translation bounded, the existence of the pullback attractor is proved in L2(Ω) and H1(Ω).
Delin Wu
doaj   +1 more source

Analysis Tools for Interconnected Boolean Networks With Biological Applications

open access: yesFrontiers in Physiology, 2018
Boolean networks with asynchronous updates are a class of logical models particularly well adapted to describe the dynamics of biological networks with uncertain measures.
Madalena Chaves, Laurent Tournier
doaj   +1 more source

Universal spaces for asymptotic dimension

open access: yesTopology and its Applications, 2004
24 pages, 1 ...
Department of Mathematics, University of Florida Little Hall, P.O. Box 118105, Gainesville, FL 32611-8105, USA ( host institution )   +2 more
openaire   +3 more sources

On the asymptotic extension dimension [PDF]

open access: yesUkrainian Mathematical Journal, 2011
We introduce an asymptotic counterpart of the extension dimension defined by Dranishnikov. The main result establishes the relationship between the asymptotic extensional dimension of a proper metric space and the extension dimension of its Higson corona.
D. Repovš, M. Zarichnyi
openaire   +1 more source

A Soft Microrobot for Single‐Cell Transport, Spheroid Assembly, and Dual‐Mode Drug Screening

open access: yesAdvanced Materials, EarlyView.
A soft, untethered hydrogel microrobot enables precise single‐cell delivery, self‐assembly into 3D spheroids, and real‐time thermal actuation. Driven by light‐induced convection and embedded with gold nanorods and temperature sensors, the microrobot guides cells, modulates local microenvironments, and supports drug testing.
Philipp Harder   +3 more
wiley   +1 more source

Attractor of reaction-diffusion equations in Banach spaces

open access: yesApplied General Topology, 2001
In this paper we prove first some abstract theorems on existence of global attractors for differential inclusions generated by w-dissipative operators. Then these results are applied to reaction-diffusion equations in which the Babach space Lp is used as
José Valero
doaj   +1 more source

Effective de Sitter space, quantum behaviour and large-scale spectral dimension (3+1)

open access: yesJournal of High Energy Physics, 2023
De Sitter space-time, essentially our own universe, is plagued by problems at the quantum level. Here we propose that Lorentzian de Sitter space-time is not fundamental but constitutes only an effective description of a more fundamental quantum gravity ...
C. A. Trugenberger
doaj   +1 more source

Colloidal Heterostructures Enable Interfacial Transport of Immiscible Molecules in Printable Organohydrogels

open access: yesAdvanced Materials, EarlyView.
Multiphase printable organohydrogels with tunable microstructures are developed to control molecular transport pathways for immiscible cargo. The tortuosity and domain size of the colloidal phases are tuned by adjusting temperature and shear during processing, which enables the tailoring of diffusion kinetics due to different transport pathways.
Riley E. Dowdy‐Green   +4 more
wiley   +1 more source

Asymptotic Stability of Impulsive Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays

open access: yesJournal of Applied Mathematics, 2012
This work addresses the asymptotic stability for a class of impulsive cellular neural networks with time-varying delays and reaction-diffusion. By using the impulsive integral inequality of Gronwall-Bellman type and Hardy-Sobolev inequality as well as ...
Yutian Zhang
doaj   +1 more source

Efficient inner product arguments and their applications in range proofs

open access: yesIET Information Security, 2023
Inner product arguments allow a prover to prove that the inner product of two committed vectors equals a public scalar. They are used to reduce the complexity of many cryptographic primitives, such as range proofs.
Zibo Zhou   +4 more
doaj   +1 more source

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