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Refined Regularity of the Blow-Up Set Linked to Refined Asymptotic Behavior for the Semilinear Heat Equation [PDF]

open access: yesAdvanced Nonlinear Studies, 2017
We consider u⁢(x,t)${u(x,t)}$, a solution of ∂t⁡u=Δ⁢u+|u|p-1⁢u${\partial_{t}u=\Delta u+|u|^{p-1}u}$ which blows up at some time T>0${T>0}$, where u:ℝN×[0,T)→ℝ${u:\mathbb{R}^{N}\times[0,T)\to\mathbb{R}}$, p>1${p>1}$ and (N-2)⁢p0}$.
Ghoul Tej-Eddine   +2 more
doaj   +2 more sources

Blow-up: A Free Lunch? [PDF]

open access: yesi-Perception, 2012
We consider operations that change the size of images, either shrinks or blow-ups . Image processing offers numerous possibilities, put at everyone's disposal with such computer programs as Adobe Photoshop.
Jan Koenderink   +2 more
doaj   +2 more sources

Blow-Up: The Powers of Scale [PDF]

open access: diamondJoelho, 2017
During the decades following World War II, efforts were made to connect the rhetoric of the human scale with that of a superhuman, geographic or territorial scale.
Ákos Moravánszky
doaj   +2 more sources

On the numerical solutions for a parabolic system with blow-up

open access: yesAIMS Mathematics, 2021
We study the finite difference approximation for axisymmetric solutions of a parabolic system with blow-up. A scheme with adaptive temporal increments is commonly used to compute an approximate blow-up time.
Chien-Hong Cho, Ying-Jung Lu
doaj   +1 more source

On Blow-up Solutions of A Parabolic System Coupled in Both Equations and Boundary Conditions

open access: yesمجلة بغداد للعلوم, 2021
This paper is concerned with the blow-up solutions of a system of two reaction-diffusion equations coupled in both equations and boundary conditions. In order to understand how the reaction terms and the boundary terms affect the blow-up properties, the ...
Maan A. Rasheed
doaj   +1 more source

Blow-up results of the positive solution for a class of degenerate parabolic equations

open access: yesOpen Mathematics, 2021
This paper is devoted to discussing the blow-up problem of the positive solution of the following degenerate parabolic equations: (r(u))t=div(∣∇u∣p∇u)+f(x,t,u,∣∇u∣2),(x,t)∈D×(0,T∗),∂u∂ν+σu=0,(x,t)∈∂D×(0,T∗),u(x,0)=u0(x),x∈D¯.\left\{\begin{array}{ll}{(r ...
Dong Chenyu, Ding Juntang
doaj   +1 more source

Prediction of Blow-Up Potential Due to Concrete Pavement Growth

open access: yesEngineering Proceedings, 2023
Concrete pavement growth can cause blow-ups and other pressure-related issues, such as concrete buckling and crushing at the transverse cracks or joints. In addition, these issues result in damaged to adjoining structures, such as bridge abutments, decks,
Youngkyu Kim, Huirak Ahn, Seungwoo Lee
doaj   +1 more source

Blow Up imagens e miragens

open access: yesTempo Social, 2000
Este artigo analisa o filme Blow Up de Michelangelo Antonioni, buscando compreender como o seu discurso visual questiona a relação entre real e imaginário.
Paulo Menezes
doaj   +1 more source

Instantons from blow-up

open access: yesJournal of High Energy Physics, 2019
We generalize Nakajima-Yoshioka blowup equations to arbitrary gauge group with hypermultiplets in arbitrary representations. Using our blowup equations, we compute the instanton partition functions for 4d N $$ \mathcal{N} $$ = 2 and 5d N $$ \mathcal{N} $$
Joonho Kim   +4 more
doaj   +1 more source

Field patterns without blow up

open access: yesNew 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
doaj   +1 more source

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