Results 11 to 20 of about 5,637,423 (161)

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

Total blow-up of a quasilinear heat equation with slow-diffusion for non-decaying initial data [PDF]

open access: yesMathematica Bohemica, 2019
We consider solutions of quasilinear equations $u_t=\Delta u^m + u^p$ in $\mathbb R^N$ with the initial data $u_0$ satisfying $0 < u_0< M$ and $\lim_{|x|\to\infty}u_0(x)=M$ for some constant $M>0$. It is known that if $0<m<p$ with $p>1$,
Amy Poh Ai Ling, Masahiko Shimojō
doaj   +3 more sources

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

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

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 in a periodic semilinear heat equation

open access: yes, 2023
Blow up in a one-dimensional semilinear heat equation is studied using a combination of numerical and analytical tools. The focus is on problems periodic in the space variable and starting out from a nearly flat, positive initial condition. Novel results
J.R. King   +5 more
core   +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

Existence of blow-up solutions for a degenerate parabolic-elliptic Keller–Segel system with logistic source [PDF]

open access: yes, 2023
summary:This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic–elliptic Keller–Segel system with logistic source.
Tanaka, Yuya
core   +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

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