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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 +8 more sources
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 +6 more sources
Refined Regularity of the Blow-Up Set Linked to Refined Asymptotic Behavior for the Semilinear Heat Equation [PDF]
We consider u(x,t)${u(x,t)}$, a solution of ∂tu=Δu+|u|p-1u${\partial_{t}u=\Delta u+|u|^{p-1}u}$ 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
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
Jos'e A. Carrillo+3 more
semanticscholar +3 more sources
We present a new model of string inflation driven by a blow-up Kähler modulus of type IIb compactifications with a potential generated by string loops.
Sukṛti Bansal+4 more
doaj +4 more sources
On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities [PDF]
This paper is devoted to the analysis of blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities $$\begin{aligned} iu_{t}+\Delta u=\lambda _1|u|^{p_1}u+\lambda _2|u|^{p_2}u. \end{aligned}$$iut+Δu=λ1|u|p1u+λ2|u|p2u.
Binhua Feng
exaly +2 more sources
In this paper, we establish the results of nonexistence and existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator. Under some suitable growth conditions for nonlinearity, the result of nonexistence of blow-up solutions ...
Xinguang Zhang+3 more
doaj +2 more sources
Delayed blow-up by transport noise [PDF]
For some deterministic nonlinear PDEs on the torus whose solutions may blow up in finite time, we show that, under suitable conditions on the nonlinear term, the blow-up is delayed by multiplicative noise of transport type in a certain scaling limit. The
F. Flandoli, Lucio Galeati, Dejun Luo
semanticscholar +1 more source
Delayed blow‐up for chemotaxis models with local sensing [PDF]
The aim of this paper is to analyze a model for chemotaxis based on a local sensing mechanism instead of the gradient sensing mechanism used in the celebrated minimal Keller–Segel model. The model we study has the same entropy as the minimal Keller–Segel
M. Burger, P. Laurençot, A. Trescases
semanticscholar +1 more source
On the numerical solutions for a parabolic system with blow-up
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