Results 51 to 60 of about 173,470 (308)
Blow-Up Solution of a Porous Medium Equation with Nonlocal Boundary Conditions
Complexity, 2020 In this paper, we devote to studying the blow-up phenomena for a porous medium equation under nonlocal boundary conditions. Based on auxiliary functions and differential inequality technique, we derive the sufficient conditions to guarantee the existence
Huimin Tian, Lingling Zhang
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Fundamental groups of blow-ups
Advances in Mathematics, 2003 Many examples of nonpositively curved closed manifolds arise as blow-ups of projective hyperplane arrangements. If the hyperplane arrangement is associated to a finite reflection group W, and the blow-up locus is W-invariant, then the resulting manifold M will admit a cell decomposition whose maximal cells are all combinatorially isomorphic to a given ...
Davis, M, Januszkiewicz, T, Scott, R
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Advanced Functional Materials, EarlyView.Biofabrication aims at providing innovative technologies and tools for the fabrication of tissue‐like constructs for tissue engineering and regenerative medicine applications. By integrating multiple biofabrication technologies, such as 3D (bio) printing with fiber fabrication methods, it would be more realistic to reconstruct native tissue's ...
Waseem Kitana +2 more
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A Robust Dual‐mode Self‐Monitoring Battery Thermal Management System via Bilayer Structural Design
Advanced Functional Materials, EarlyView.An adaptive dual‐mode material capable of both evaporative cooling and photothermal preheating is developed. It achieves a cooling efficiency of 53.9%, surpassing existing evaporative cooling counterparts, and a self‐monitoring capability, making it ideal for electric vehicles, portable electronics, and grid‐scale energy storage.
Shanchi Wang +7 more
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Blow-up of solutions for a system of nonlinear parabolic equations
Electronic Journal of Differential Equations, 2013 The initial boundary value problem for a system of parabolic equations in a bounded domain is considered. We prove that, under suitable conditions on the nonlinearity and certain initial data, the lower bound for the blow-up time is determined if blow-
Shun-Tang Wu Wu
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Proceedings of the Edinburgh Mathematical Society, 2013 AbstractWe study a notion of ‘b-stability’, introduced previously by the author in connection with the existence of constant scalar curvature Kähler, and Kähler-Einstein, metrics. The main result is Theorem 1.2, which makes progress towards a statement that the existence of such metrics implies b-stability. The proof is a modification of an argument of
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Entering the Strong Coupling Regime in Conventional Organic Solar Cells
Advanced Functional Materials, EarlyView.Organic solar cells convert light into fossil‐free energy, yet they still cannot compete with their silicon counterparts. Strong exciton‐photon coupling can ameliorate some properties of organic solar cells, but it requires additional mirrors that diminish light absorbance. Here, mirror‐free strong exciton‐photon coupling is implemented in conventional
Nicola Peruffo +4 more
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An adaptive numerical method for the wave equation with a nonlinear boundary condition
Electronic Journal of Differential Equations, 2003 We develop an efficient numerical method for studying the existence and non-existence of global solutions to the initial-boundary value problem {gather*} u_{tt}=u_{xx}quad 00, u(x,0)=f(x),quad u_{t}(x,0)=g(x) quad ...
Azmy S. Ackleh, Keng Deng, Joel Derouen
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Abstract and Applied Analysis, 2013 Using bifurcation method of dynamical systems, we investigate the nonlinear waves for the generalized Zakharov equations utt-cs2uxx=β(|E|2)xx, iEt+αExx-δ1uE+δ2|E|2E+δ3|E|4E=0, where α,β,δ1,δ2,δ3, and cs are real parameters, E=E(x,t) is a complex ...
Shaoyong Li, Rui Liu
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Advanced Functional Materials, EarlyView.The integration of photovoltaic (PV) systems into building structures introduces distinct fire risks with critical implications for occupant safety. This review examines the key fire hazards associated with PV implementation and explores mitigation strategies, including flame‐retardant additives.
Florian Ollagnon +7 more
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