Results 11 to 20 of about 50,923 (254)
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 ...
Glock, Stefan, Joos, Felix
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Field patterns without blow up
New Journal of Physics, 2017 Field patterns, first proposed by the authors in Milton and Mattei (2017 Proc. R. Soc. A 473 20160819), are a new type of wave propagating along orderly patterns of characteristic lines which arise in specific space-time microstructures whose geometry in
Ornella Mattei, Graeme W Milton
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Blow-up analysis in a quasilinear parabolic system coupled via nonlinear boundary flux
Electronic Journal of Qualitative Theory of Differential Equations, 2021 This paper deals with the blow-up of the solution for a system of evolution $p$-Laplacian equations $u_{it}=\text{div}(|\nabla u_{i}|^{p-2}\nabla u_{i})\;(i=1,2,\dots,k)$ with nonlinear boundary flux.
Pan Zheng, Zhonghua Xu, Zhangqin Gao
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Blow-Up Sequences and Blow-Up Limits
, 2022 AbstractLet D be an open set in $$\mathbb {R}^d$$ ℝ d and $$u:D\to \mathbb {R}$$ u : D → ℝ
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Stability of the blow-up time and the blow-up set underperturbations
Discrete and Continuous Dynamical Systems, 2010 In this paper we prove a general result concerning continuity of the blow-up time and the blow-up set for an evolution problem under perturbations. This result is based on some convergence of the perturbations for times smaller than the blow-up time of the unperturbed problem together with uniform bounds on the blow-up rates of the perturbed problems ...
Arrieta Algarra, José María +3 more
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Blow-up for a degenerate and singular parabolic equation with a nonlocal source
Advances in Difference Equations, 2019 This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given.
Nitithorn Sukwong +3 more
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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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Boundary Value Problems, 2018 In this paper, we continue to study the initial boundary value problem of the quasi-linear pseudo-parabolic equation ut−△ut−△u−div(|∇u|2q∇u)=up $$ u_{t}-\triangle u_{t}-\triangle u-\operatorname{div}\bigl(| \nabla u|^{2q}\nabla u\bigr)=u^{p} $$ which was
Gongwei Liu, Ruimin Zhao
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Similarity stabilizes blow up [PDF]
Journal of Differential Equations, 1999 The blow-up of solutions to a quasilinear heat equation is studied using a similarity transformation that turns the equation into a nonlocal equation whose steady solutions are stable. This allows energy methods to be used, instead of the comparison principles used previously.
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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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