Results 21 to 30 of about 9,172,835 (351)
Divisors of a module and blow up [PDF]
In this paper we work with several divisors of a module $E \subseteq G \simeq R^{e}$ having rank $e$, such as the classical Fitting ideals of $E$ and of $G/E$, and the more recently introduced (generic) Bourbaki ideals $I(E)$ (A. Simis, B. Ulrich, and W. Vasconcelos [18]) or ideal norms $[[E]]_R$ (O. Villamayor [22]).
Ana L. Branco Correia +2 more
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A blow – up result for the semilinear Moore – Gibson – Thompson equation with nonlinearity of derivative type in the conservative case [PDF]
In this paper, we study the blow-up of solutions to the semilinear Moore-Gibson-Thompson (MGT) equation with nonlinearity of derivative type $|u_t|^p$ in the conservative case.
Wenhui Chen, A. Palmieri
semanticscholar +1 more source
Blow-up analysis in a quasilinear parabolic system coupled via nonlinear boundary flux
This paper deals with the blow-up of the solution for a system of evolution $p$-Laplacian equations $u_{it}=\text{div}(|\nabla u_{i}|^{p-2}\nabla u_{i})\;(i=1,2,\dots,k)$ with nonlinear boundary flux.
Pan Zheng, Zhonghua Xu, Zhangqin Gao
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Field patterns without blow up
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
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A survey on the blow-up method for fast-slow systems [PDF]
In this document we review a geometric technique, called the blow-up method, as it has been used to analyze and understand the dynamics of fast-slow systems around non-hyperbolic points.
H. Jardón-Kojakhmetov, C. Kuehn
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A SURVEY ON THE BLOW UP TECHNIQUE [PDF]
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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Stable self-similar blow-up for a family of nonlocal transport equations [PDF]
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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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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Type II Blow-up in the 5-dimensional Energy Critical Heat Equation [PDF]
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
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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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