Results 61 to 70 of about 9,172,835 (351)
A hypergraph blow‐up lemma [PDF]
Random Structures & Algorithms, 2011 AbstractWe obtain a hypergraph generalisation of the graph blow‐up lemma proved by Komlós, Sarközy and Szemerédi, showing that hypergraphs with sufficient regularity and no atypical vertices behave as if they were complete for the purpose of embedding bounded degree hypergraphs. © 2011 Wiley Periodicals, Inc. Random Struct.
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Random Structures & Algorithms, 2020 We prove a rainbow version of the blow‐up lemma of Komlós, Sárközy, and Szemerédi for μn‐bounded edge colorings. This enables the systematic study of rainbow embeddings of bounded degree spanning subgraphs. As one application, we show how our blow‐up lemma can be used to transfer the bandwidth theorem of Böttcher, Schacht, and Taraz to the rainbow ...
Stefan Glock, Felix Joos
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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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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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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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Recycling of Thermoplastics with Machine Learning: A Review
Advanced Functional Materials, EarlyView.This review shows how machine learning is revolutionizing mechanical, chemical, and biological pathways, overcoming traditional challenges and optimizing sorting, efficiency, and quality. It provides a detailed analysis of effective feature engineering strategies and establishes a forward‐looking research agenda for a truly circular thermoplastic ...
Rodrigo Q. Albuquerque +5 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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Advances in Micro/Nanofiber‐Based Porous Materials for High‐Performance Thermal Insulation
Advanced Functional Materials, EarlyView.Micro/nanofiber porous materials have engendered great interest in the thermal insulation field. Herein, the structural designs, fabrication techniques, and applications of the micro/nanofiber thermal insulation materials are systematically summarized.
Xiaobao Gong +5 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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