Results 11 to 20 of about 9,221,506 (354)

Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system [PDF]

open access: yesJournal of Mathematics and Physics, 2017
It is well-known that the Neumann initial-boundary value problem for the minimal-chemotaxis-logistic system in a 2D bounded smooth domain has no blow-up for any choice of parameters. Here, for a large class of kinetic terms including sub-logistic sources,
Tian Xiang
semanticscholar   +3 more sources

Regression to the tail: Why the Olympics blow up [PDF]

open access: yesEnvironment and Planning, 2020
The Olympic Games are the largest, highest-profile, and most expensive megaevent hosted by cities and nations. Average sports-related costs of hosting are $12.0 billion. Non-sports-related costs are typically several times that. Every Olympics since 1960
B. Flyvbjerg   +2 more
semanticscholar   +1 more source

On blow up for the energy super critical defocusing nonlinear Schrödinger equations

open access: yesInventiones Mathematicae, 2021
We consider the energy supercritical defocusing nonlinear Schrödinger equation i∂tu+Δu-u|u|p-1=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
F. Merle   +3 more
semanticscholar   +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

The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term

open access: yesElectronic Research Archive, 2020
In this paper, we consider a plate equation with nonlinear damping and logarithmic source term. By the contraction mapping principle, we establish the local existence.
Gongwei Liu
semanticscholar   +1 more source

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

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

Stability of the blow-up time and the blow-up set under perturbations [PDF]

open access: yesDiscrete & Continuous Dynamical Systems - A, 2010
In this paper we prove a general result concerning continuity of the blow-up time and the blow-up set for an evolution problem under perturbations. This result is based on some convergence of the perturbations for times smaller than the blow-up time of the unperturbed problem together with uniform bounds on the blow-up rates of the perturbed ...
Arrieta Algarra, José María   +3 more
openaire   +4 more sources

Blow-up with logarithmic nonlinearities [PDF]

open access: yesJournal of Differential Equations, 2007
We study the asymptotic behaviour of nonnegative solutions of the nonlinear diffusion equation in the half-line with a nonlinear boundary condition, ut = uxx − _(u + 1) logp(u + 1) (x, t) € R+ × (0, T),−ux(0, t) = (u + 1) logq(u + 1)(0, t) t € (0, T),u(x, 0) = u0(x) x € R+, with p, q, _ > 0.
Ferreira, R., de Pablo, A., Rossi, J.D.
openaire   +5 more sources

Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]

open access: yes, 2013
We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Bandle C.   +6 more
core   +1 more source

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