Results 21 to 30 of about 8,028,955 (283)
Similarity stabilizes blow up [PDF]
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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Blow-up for a degenerate and singular parabolic equation with a nonlocal source
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]
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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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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To Blow-Up or Not to Blow-Up for a Granular Kinetic Equation
A simplified kinetic description of rapid granular media leads to a nonlocal Vlasov-type equation with a convolution integral operator that is of the same form as the continuity equations for aggregation-diffusion macroscopic dynamics. While the singular behavior of these nonlinear continuity equations is well studied in the literature, the extension ...
Carrillo, José A. +3 more
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“Se o homem devesse chegar além do que ele apreende, para que então o céu?” Jean – Claude Lattès No que, a partir da percepção de uma cidade como Londres feita há quarenta anos por um cineasta italiano, podemos retirar algo sobre a experiência da ...
Maria do Carmo Nino
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BLOW UP: DEPOIS DAQUELA IMAGEM
Blow Up de Antonionni é daquelas obras que, embora datadas, não perdem o frescor da atualidade. O artigo centra atenção em questões que, em meu entendimento, são decisivas ao se pensar os dias atuais: imagem, mídia e moda. Foi através de um diálogo muito
Aglair Bernardo
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Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient Terms
This paper is concerned with the blow-up properties of Cauchy and Dirichlet problems of a coupled system of Reaction-Diffusion equations with gradient terms. The main goal is to study the influence of the gradient terms on the blow-up profile.
Maan A. Rasheed +2 more
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On the blow-up of a non-local parabolic problem
We investigate the conditions under which the solution of the initial-boundary value problem of the non-local equation ut=Δu+λf(u)/(∫Ωf(u)dx)p, where Ω is a bounded domain of RN and f(u) is a positive, increasing, convex function, performs blow-up.
N.I. Kavallaris +5 more
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Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
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