Results 121 to 130 of about 5,699,579 (389)
Ill-posedness for one-dimensional wave maps at the critical regularity [PDF]
arXiv, 1998 We show that the wave map equation in $\R^{1+1}$ is in general ill-posed in the critical space $\dot H^{1/2}$, and the Besov space $\dot B^{1/2,1}_2$. The problem is attributed to the bad behaviour of the one-dimensional bilinear expression $D^{-1}(f Dg)$ in these spaces.
arxiv
Advanced Biology, EarlyView.In this randomized clinical trial conducted among 142 community‐dwelling older adults at high risk for falls over 12 months, a Dalcroze Eurhythmics exercise intervention (once weekly, group‐based) improved a variety of physical and cognitive/executive function outcomes compared with a multicomponent exercise intervention (twice weekly, group‐ and home ...
Mélany Hars +7 more
wiley +1 more source
Ill-posedness for the 2D viscous shallow water equations in the critical Besov spaces [PDF]
arXiv, 2017 In this paper, we prove that the 2D viscous shallow water equations is ill-posed in the critical Besov spaces $\B^{\frac2p-1}_{p,1}(\R^2)$ with $p>4$. Our proof mainly depends on the method introduced by the paper \cite{C-M-Z4}.
arxiv
Co-Occurrence of Post-Intensive Care Syndrome Problems Among 406 Survivors of Critical Illness*
Critical Care Medicine, 2018 Objectives: To describe the frequency of co-occurring newly acquired cognitive impairment, disability in activities of daily livings, and depression among survivors of a critical illness and to evaluate predictors of being free of post-intensive care ...
A. Marra +9 more
semanticscholar +1 more source
Advanced Biology, EarlyView.Extracellular vesicles (EVs) play a dual role in diagnostics and therapeutics, offering innovative solutions for treating cancer, cardiovascular, neurodegenerative, and orthopedic diseases. This review highlights EVs’ potential to revolutionize personalized medicine through specific applications in disease detection and treatment.
Farbod Ebrahimi +4 more
wiley +1 more source
Ill-posedness for the 3D inhomogeneous Navier-Stokes equations in the critical Besov space near $L^6$ framework [PDF]
arXiv, 2016 We prove the ill-posedness for the 3D incompressible inhomogeneous Navier-stokes equations in critical Besov space. In particular, a norm inflation happens in finite time with the initial data satisfying $$\|a_0\|_{\dot{B}_{p,1}^\frac{3}{p}}+\|u_0\|_{\dot{B}_{6,1}^{-\frac{1}{2}}}\le \delta,\ p>6$$ or $$\|a_0\|_{\dot{B}_{6,1}^\frac{1}{2}}+\|u_0\|_{\dot ...
arxiv
Advanced Engineering Materials, EarlyView.This article introduces the Dataspace Management System (DSMS), a methodological framework realized in software, designed as a technology stack to power dataspaces with a focus on advanced knowledge management in materials science and manufacturing. DSMS leverages heterogeneous data through semantic integration, linkage, and visualization, aligned with
Yoav Nahshon +7 more
wiley +1 more source
Critical 3-hypergraphs (detailed version) [PDF]
arXiv, 2020 Given a 3-hypergraph $H$, a subset $M$ of $V(H)$ is a module of $H$ if for each $e\in E(H)$ such that $e\cap M\neq\emptyset$ and $e\setminus M\neq\emptyset$, there exists $m\in M$ such that $e\cap M=\{m\}$ and for every $n\in M$, we have $(e\setminus\{m\})\cup\{n\}\in E(H)$.
arxiv
Critical Care, 2019 BackgroundAlthough mortality due to critical illness has fallen over decades, the number of patients with long-term functional disabilities has increased, leading to impaired quality of life and significant healthcare costs.
A. V. van Zanten +2 more
semanticscholar +1 more source
Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials
Advanced Engineering Materials, EarlyView.This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani +4 more
wiley +1 more source