Results 31 to 40 of about 9,172,835 (351)

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, Andrew Lacey, Alberto Bressan   +2 more
openaire   +3 more sources

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
doaj   +2 more sources

To Blow-Up or Not to Blow-Up for a Granular Kinetic Equation

Physica D: Nonlinear Phenomena
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 behavior of these nonlinear continuity equations is well studied in the literature, the extension ...
Carrillo, José A., Shu, Ruiwen, Wang, Li, Xu, Wuzhe   +3 more
openaire   +2 more sources

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
doaj   +1 more source

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, Michael W. Davis, Tadeusz Januszkiewicz   +2 more
openaire   +3 more sources

Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient Terms

International Journal of Mathematics and Mathematical Sciences, 2019
This paper is concerned with the blow-up properties of Cauchy and Dirichlet problems of a coupled system of Reaction-Diffusion equations with gradient terms. The main goal is to study the influence of the gradient terms on the blow-up profile.
Maan A. Rasheed, Hassan Abd Salman Al-Dujaly, Talat Jassim Aldhlki   +2 more
doaj   +1 more source

Similarity stabilizes blow up [PDF]

Journal of Differential Equations, 1999
This is an extended version of the author's earlier paper [Journées Équations aux Derivées Partielles, Université de Nantes, Exp. No. 12 (1999; Zbl 1004.35062)]. The considered topic is the equation \[ \psi u_t = -L\left( | u| ^{m-1} u \right), \tag{1} \] where \(\psi(x)\) is positive and \(L\) is a self-adjoint strongly elliptic differential operator ...
openaire   +4 more sources

On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities [PDF]

, 2018
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
semanticscholar   +1 more source

Prescribing Morse Scalar Curvatures: Blow-Up Analysis [PDF]

International mathematics research notices, 2018
We study finite-energy blow-ups for prescribed Morse scalar curvatures in both the subcritical and the critical regime. After general considerations on Palais–Smale sequences, we determine precise blow-up rates for subcritical solutions: in particular ...
A. Malchiodi, Martin Gebhard Mayer
semanticscholar   +1 more source

On the blow-up solutions for the fractional nonlinear Schr\"odinger equation with combined power-type nonlinearities [PDF]

, 2018
This paper is devoted to the analysis of blow-up solutions for the fractional nonlinear Schr\"odinger equation with combined power-type nonlinearities \[ i\partial_t u-(-\Delta)^su+\lambda_1|u|^{2p_1}u+\lambda_2|u|^{2p_2}u=0, \] where ...
Binhua Feng
semanticscholar   +1 more source