Results 111 to 120 of about 325,285 (279)

Blow-Up Solutions and Global Solutions to Discrete p-Laplacian Parabolic Equations

Abstract and Applied Analysis, 2014
We discuss the conditions under which blow-up occurs for the solutions of discrete p-Laplacian parabolic equations on networks S with boundary ∂S as follows: ut(x,t)=Δp,ωu(x,t)+λ|u(x,t)|q-1u(x,t), (x,t)∈S×(0,+∞); u(x,t)=0, (x,t)∈∂S×(0,+∞); u(x,0)=u0≥0, x∈
Soon-Yeong Chung, Min-Jun Choi
doaj   +1 more source

Endoplasmic Reticulum Geometry Dictates Neuronal Bursting via Calcium Store Refill Rates and Exposes Selective Neuronal Vulnerability

Advanced Science, EarlyView.
The ER's continuous tubular network is maintained by ER‐shaping proteins whose mutation or dysregulation contributes to neurodegenerative diseases. Here, we show that ER morphology sets the speed of Ca2+ store replenishment between firing events. Disrupting ER continuity slows intra‐ER Ca2+ redistribution from extracellular refill (SOCE) sites, driving
Valentina Davi, Pierre Parutto, Yuyi Zhang, Tasuku Konno, Cecile Crapart, Raquel Pereira, John P. Franklin, Mosab Ali Awadelkareem, Daniel C Maddison, Michael J. Devine, Edgar R. Gomes, Joseph Chambers, Elena Koslover, Edward Avezov   +13 more
wiley   +1 more source

Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics

Boundary Value Problems
In this paper, we prove that for certain class of initial data, the corresponding solutions to the 3-D viscous primitive equations blow up in finite time.
Lin Zheng
doaj   +1 more source

Machine‐Learning Microfluidic Minute‐Scale Microorganism Metrics Monitoring(M6)

Advanced Science, EarlyView.
ABSTRACT On‐site monitoring of microorganisms remains challenging because of low concentrations, strong background interference, and dynamic aerosol diffusion, particularly for aerosol‐transmitted pathogens. Here, we report a rapid detection platform that integrates a Puri‐focusing microfluidic chip, electrochemical impedance spectroscopy (EIS), and ...
Ning Yang, Jiahao Ding, Si Chen, Lijie Yan, Shichao Ding, Lavonda Li, Junyi Sun, Haodong Liu, Tongge Li, Ning Liu, Mingji Wei, Xiaoyong Zhu, Xiaobo Zou, Shouqi Yuan, Xingcai Zhang   +14 more
wiley   +1 more source

Nonexistence of positive global solutions to the differential equation $u''-t^{-p-1}u^p=0$

Electronic Journal of Differential Equations, 2016
In this article we consider the ordinary differential equation $$ u'' -t^{-p-1} u^p =0. $$ We show the blow-up for solutions of this equation, under certain on the initial data.
Meng-Rong Li, Tsung-Jui Chiang-Lin, Young-Shiuan Lee, Daniel Wei-Chung Miao   +3 more
doaj  

Printable Conductive Hydrogels for Electrochemical Biosensing and Soft Bioelectronic Interfaces

Advanced Science, EarlyView.
Flexible, conductive hydrogels that integrate printability, mechanical tunability, biocompatibility, and electronic performance remain challenging to achieve. Here, we develop 3D‐printable poly(ethylene glycol)–poly(pyrrole)‐ hydrogels with tissue‐like mechanics, high cytocompatibility, and robust electrochemical function.
Lukas Hein, Renan Colucci, Xin Wei, Tsvetomir Ivanov, Katharina Landfester, Ulrike Kraft, Maria Villiou   +6 more
wiley   +1 more source

Existence and nonexistence results for a class of pseudo-parabolic equations with combined logarithmic nonlinearities

Advanced Nonlinear Studies
In this paper, we study the existence and nonexistence results for a class of pseudo-parabolic equations with combined logarithmic nonlinearities γ| u|p-2 u log   |u| + u log  |u|, where γ > 0 and p > 2 satisfy certain conditions.
Zhang Wei, Zhang Jialing
doaj   +1 more source

Atomic Defects in Layered Transition Metal Dichalcogenides for Sustainable Energy Storage and the Intelligent Trends in Data Analytics

Advanced Science, EarlyView.
This review comprehensively summarizes the atomic defects in TMDs for their applications in sustainable energy storage devices, along with the latest progress in ML methodologies for high‐throughput TEM data analysis, offering insights on how ML‐empowered microscopy facilitates bridging structure–property correlation and inspires knowledge for precise ...
Zheng Luo, Ying Yang, Zizhen Fu, Fengqi Liu, Susu Fang, Kele Xu, Shanshan Wang   +6 more
wiley   +1 more source

Integrability of blow-up solutions to some non-linear differential equations

Electronic Journal of Differential Equations, 2004
We investigate the integrability of solutions to the boundary blow-up problem $$ r^{-lambda}(r^{lambda}(u')^{p-1})'=H(r,u),quad u'(0)geq 0,quad u(R)=infty $$ under some appropriate conditions on the non-linearity $H$.
Michael Karls, Ahmed Mohammed
doaj  

Mass‐Produced and High‐Performance Nanowell Biosensor Fabricated via Semiconductor Manufacturing for Rapid and Accurate COVID‐19 Diagnosis in the Clinical Field

Advanced Science, EarlyView.
A semiconductor‐fabricated nanowell biosensor enables rapid, scalable, and highly reproducible detection of SARS‐CoV‐2 antigens from nasal swabs within ∼10 minutes. Clinical validation in 249 retrospective and 243 prospective patient samples demonstrates high sensitivity and specificity, minimal cross‐reactivity, and robust batch‐to‐batch ...
Yoo Min Park, Zahra Rezaei, Nam Ho Bae, Donggee Rho, Da‐Seul Kim, EunYoung Go, YoungTae Seo, Seok Jae Lee, Won Chan Seo, Luke P. Lee, HeaYeon Lee, Su Ryon Shin   +11 more
wiley   +1 more source