Results 111 to 120 of about 294,004 (295)

The critical exponent for fast diffusion equation with nonlocal source

Boundary Value Problems, 2019
This paper considers the Cauchy problem for fast diffusion equation with nonlocal source ut=Δum+(∫Rnuq(x,t)dx)p−1qur+1 $u_{t}=\Delta u^{m}+ (\int_{\mathbb{R}^{n}}u^{q}(x,t)\,dx )^{\frac{p-1}{q}}u^{r+1}$, which was raised in [Galaktionov et al.
Chunxiao Yang, Linghua Kong, Yingxue Wu, Qing Tian   +3 more
doaj   +1 more source

A critical-exponent Balian–Low theorem [PDF]

Mathematical Research Letters, 2008
Using a variant of the Sobolev Embedding Theorem, we prove an uncertainty principle related to Gabor systems that generalizes the Balian-Low Theorem.
openaire   +2 more sources

Biopsychosocial determinants of hand function and its trajectories over five years in patients with hand osteoarthritis

Arthritis Care &Research, Accepted Article.
Objectives This study aimed to investigate hand function trajectories over 5 years in primary hand osteoarthritis. Additionally, determinants of baseline and longitudinal hand function were assessed. Methods 538 patients with both baseline and 5‐year study visits were analyzed.
Annemiek V.E.M. Olde Meule, Coen van der Meulen, Jos Runhaar, Frits R. Rosendaal, Margreet Kloppenburg   +4 more
wiley   +1 more source

Anomalous stress relaxation in random macromolecular networks

, 2001
Within the framework of a simple Rouse-type model we present exact analytical results for dynamical critical behaviour on the sol side of the gelation transition. The stress-relaxation function is shown to exhibit a stretched-exponential long-time decay.
Adam, Adam, Adolf, Annette Zippelius, Biroli, Bollobás, Bray, Broderix, Broderix, Broderix, Cates, Chambon, Colby, de Gennes, de Gennes, Doi, Durand, Gingold, Hansen, Harris, Henning Löwe, Klein, Kurt Broderix, Lodge, Martin, Martin, Meir, Osaki, Peter Müller, Scanlan, Solf, Stauffer, Stenull, Venerus, Venkataraman, Vernon, Winte, Winter   +37 more
core   +1 more source

The Physician‐Scientist Pipeline for Pediatric Rheumatology – Current Landscape and Future Perspectives.

Arthritis Care &Research, Accepted Article.
Over the past 50 years, the science of pediatric rheumatology has grown exponentially due to an expansion in the understanding of complex rheumatic conditions and a surge in novel targeted therapeutics. Physician‐scientists in the field of pediatric rheumatology have played major roles in these advancements that have improved the care of children ...
Ekemini A. Ogbu, Linda T. Hiraki, Mara L. Becker   +2 more
wiley   +1 more source

The Second Critical Exponent for a Time-Fractional Reaction-Diffusion Equation

Mathematics
In this paper, we consider the Cauchy problem of a time-fractional nonlinear diffusion equation. According to Kaplan’s first eigenvalue method, we first prove the blow-up of the solutions in finite time under some sufficient conditions.
Takefumi Igarashi
doaj   +1 more source

Climate persistence and memory

Tellus: Series A, Dynamic Meteorology and Oceanography, 2020
The autocorrelation function (ACF) and its relationship to fluctuation analysis (FA) are discussed, based on the reanalysis monthly mean geopotential height at 500 hPa from ECMWF (ERA-20C).
Jiangnan Li, Zhian Sun
doaj   +1 more source

Finite-size scaling in thin Fe/Ir(100) layers

, 1998
The critical temperature of thin Fe layers on Ir(100) is measured through M\"o{\ss}bauer spectroscopy as a function of the layer thickness. From a phenomenological finite-size scaling analysis, we find an effective shift exponent lambda = 3.15 +/- 0.15 ...
A. S. Arrott, C. A. Ballentine, D. Lederman, E. E. Fullerton, E. Snoeck, F. Huang, F. O. Schumann, G. A. Prinz, H. J. Elmers, J. S. Jiang, J. Zinn-Justin, M. Blume, M. Henkel, M. N. Barber, Malte Henkel, Michel Piecuch, Ph. Bauer, Philippe Bauer, R. S. Preston, S. Andrieu, S. Andrieu, S. Mehta, Stéphane Andrieu, T. Ambrose, T. Ambrose, V. Privman, Y. Li   +26 more
core   +1 more source

On the Lightweight Potential of Laser Additive Manufactured NiTi Triply Periodic Minimal Sheet Lattices

Advanced Engineering Materials, EarlyView.
This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo, Shuo Qu, Shiming Gao, Xu Song   +3 more
wiley   +1 more source

The critical exponent of the Arshon words

, 2008
Generalizing the results of Thue (for n = 2) and of Klepinin and Sukhanov (for n = 3), we prove that for all n greater than or equal to 2, the critical exponent of the Arshon word of order $n$ is given by (3n-2)/(2n-2), and this exponent is attained at ...
Krieger, Dalia
core   +2 more sources