Results 71 to 80 of about 226,754 (275)
Simultaneous and non-simultaneous blow-up and uniform blow-up profiles for reaction-diffusion system
Electronic Journal of Differential Equations, 2012 This article concerns the blow-up solutions of a reaction-diffusion system with nonlocal sources, subject to the homogeneous Dirichlet boundary conditions.
Zhengqiu Ling, Zejia Wang
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Advances in Nonlinear Analysis, 2021 We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension d ≥ 3 and find two critical curves intersecting at one point which separate the global existence and blow up of weak solutions to the problem.
Carrillo Antonio José, Lin Ke
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Advanced Materials, EarlyView.This review highlights recent advances in electrospun nanofiber‐based triboelectric nanogenerators, emphasizing how material design, fiber architecture, and interface engineering collectively enhance output performance and mechanical durability. Key developments in porous, aligned, core‐shell, and hierarchical nanofibers are discussed alongside ...
MD Fajla Rabbi +3 more
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Abstract and Applied Analysis, 2014 We study the blow-up and global solutions for a class of quasilinear parabolic problems with Robin boundary conditions. By constructing auxiliary functions and using maximum principles, the sufficient conditions for the existence of blow-up solution, an ...
Juntang Ding
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Positive Solutions for Systems of Quasilinear Equations with Non-homogeneous Operators and Weights
Advanced Nonlinear Studies, 2020 In this paper we deal with positive radially symmetric solutions for a boundary value problem containing a strongly nonlinear operator. The proof of existence of positive solutions that we give uses the blow-up method as a main ingredient for the search ...
García-Huidobro Marta +2 more
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Boundary Value Problems, 2020 In the paper, we investigate global and blow-up solutions for a class of nonlinear reaction diffusion equations with Robin boundary conditions. By using auxiliary functions and a first-order differential inequality technique, we establish conditions on ...
Huimin Tian, Lingling Zhang
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Advanced Materials, EarlyView.We address the inherently weak particle adhesion of conventional air filters by coating a dynamically crosslinked adhesive layer that delivers capillarity‐driven strong adhesion and particle absorption mediated by dynamic bond exchange. The resulting enhancement in particle adhesion enables efficient ultrafast (up to 20 m s−1) and omnidirectional ...
Junyong Park +11 more
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A Scalable Perovskite Platform With Multi‐State Photoresponsivity for In‐Sensor Saliency Detection
Advanced Materials, EarlyView.A scalable in‐sensor computing platform (32 × 32 array) with ultra‐low variability is developed by incorporating ferroelectric copolymers into halide perovskite thin films. These devices achieve 1000 programmable photoresponsivity states and high thermal reliability.
Xuechao Xing +10 more
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A Comparative Study on Early‐Stage Icing Evaluation Techniques for Passive Ice Protection Systems
Advanced Materials Interfaces, EarlyView.This study addresses the lack of standardized methodologies for evaluating the early‐stage icing performance of passive ice protection systems. A unified experimental protocol is proposed and applied to representative hydrophilic and hydrophobic surfaces under controlled conditions.
Lorenzo Facco +4 more
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Blow-up of solutions of nonlinear heat equations
Journal of Mathematical Analysis and Applications, 1988 This paper concerns the non-global existence of solutions to the equation \(u_ t-u_{xx}=f(u),\) \(-a0\), \(u(x,0)=\phi (x ...
Caffarrelli, Luis A., Friedman, Avner
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