Results 111 to 120 of about 304,931 (226)
Continuity Of The Blow-Up Time For A Nonlinear Convection In Reaction-Diffusion Equation
Trends in Computational and Applied MathematicsIn this paper, we consider a nonlinear convection reaction diffusion equation. Under some assumptions, we show that the solution of the problem blows up in a finite time and we estimate its blow-up time.
R. Kouadio Kouakou, F. K. N’GOHISSE
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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
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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 +6 more
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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 +11 more
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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 +3 more
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Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics
Boundary Value ProblemsIn 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
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Advanced Science, EarlyView.Sodium ion capacitor (SIC) is currently constrained by the low discharge capacity of commercial activated carbon as positive electrode material. This review provides a holistic summary of research efforts on alternative porous carbon materials for SIC. Image created by the authors with www.biorender.com.
Ademola Adeniji +2 more
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Advanced Nonlinear StudiesIn 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
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Advanced Science, EarlyView.A green, thermoreversible self‐assembly strategy yields a multifunctional and recyclable supramolecular nanofibrous membrane. Graphene oxide (GO) nanosheet acts as a heterogeneous nucleation‐templating agent, simultaneously modulating the supramolecular crystal packing while tailoring the nanofibrous architecture for elite performance.
Wenjing Sun +6 more
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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
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