Results 31 to 40 of about 9,221,506 (354)
Stable self-similar blow-up for a family of nonlocal transport equations [PDF]
Analysis & PDE, 2019 We consider a family of non-local problems that model the effects of transport and vortex stretching in the incompressible Euler equations. Using modulation techniques, we establish stable self-similar blow-up near a family of known self-similar blow-up ...
T. Elgindi, T. Ghoul, N. Masmoudi
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A SURVEY ON THE BLOW UP TECHNIQUE [PDF]
International Journal of Bifurcation and Chaos, 2011 The blow up technique is widely used in desingularization of degenerate singular points of planar vector fields. In this survey, we give an overview of the different types of blow up and we illustrate them with many examples for better understanding. Moreover, we introduce a new generalization of the classical blow up.
Álvarez Torres, María Jesús +2 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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Type II Blow-up in the 5-dimensional Energy Critical Heat Equation [PDF]
Acta Mathematica Sinica. English series, 2018 We consider the Cauchy problem for the energy critical heat equation $$\begin{cases}u_t ={\Delta}u+|u|^\frac{4}{n-2}u\;\;\;\text{in}\;\mathbb{R}^n\times(0,T)\\u(\centerdot,0)=u_0\;\;\;\text{in}\;\mathbb{R}^n\end{cases}$${ut=Δu+|u|4n−2uinRn×(0,T)u(⋅,0 ...
Manuel del Pino, M. Musso, Juncheng Wei
semanticscholar +1 more source
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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Total blow-up versus single point blow-up
Journal of Differential Equations, 1988 The authors study blow-up of non negative solutions to a quasilinear parabolic equation describing the temperature perturbation during the ignition process of a reactive gas in a spherical container. The equation is of the form \(u_ t-\Delta u=f(u)+g(t),\) and is supplemented with zero Dirichlet boundary conditions and with a non negative initial datum
J. W. Bebernes +2 more
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BLOW UP: DEPOIS DAQUELA IMAGEM
ModaPalavra e-periódico, 2008 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 phenomena for a class of metaparabolic equations with time dependent coeffcient
AIMS Mathematics, 2017 This paper deals with the initial boundary value problem for a metaparabolic equations withtime dependent coeffcient. Under suitable conditions on initial data, a blow-up criterion which ensuresthat u cannot exist all time is given, and an upper bound ...
Huafei Di, Yadong Shang
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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 ...
Richard Scott +2 more
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Blowing up generalized Kahler 4-manifolds
, 2011 We show that the blow-up of a generalized Kahler 4-manifold in a nondegenerate complex point admits a generalized Kahler metric. As with the blow-up of complex surfaces, this metric may be chosen to coincide with the original outside a tubular ...
A. Fujiki +14 more
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