Results 31 to 40 of about 5,637,423 (161)

On the blow-up of a non-local parabolic problem

open access: yes, 2006
We investigate the conditions under which the solution of the initial-boundary value problem of the non-local equation ut=Δu+λf(u)/(∫Ωf(u)dx)p, where Ω is a bounded domain of RN and f(u) is a positive, increasing, convex function, performs blow-up.
N.I. Kavallaris   +5 more
core   +1 more source

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

open access: yesInternational 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   +2 more
doaj   +1 more source

A sufficient condition for a finite-time $L_2 $ singularity of the 3d Euler Equations [PDF]

open access: yes, 2005
A sufficient condition is derived for a finite-time $L_2 $ singularity of the 3d incompressible Euler equations, making appropriate assumptions on eigenvalues of the Hessian of pressure.
He, Xinyu
core   +1 more source

Theoretical and numerical studies of the blow-up of a degenerate nonlinear reaction–diffusion problem with source terms

open access: yesApplied Mathematics in Science and Engineering
In this paper, we focus on the phenomenon of blow-up of solutions for semilinear and degenerate (time-derivative) parabolic equation systems with additional source terms.
Bariza Sidhoum   +4 more
doaj   +1 more source

Upper bound estimate for the blow-up time of a class of integrodifferential equation of parabolic type involving variable source

open access: yesComptes Rendus. Mathématique, 2020
Consider a class of integrodifferential of parabolic equations involving variable source with Dirichlet boundary condition \begin{equation*} u_{t}=\Delta u-\int _{0}^{t}g\left(t-s\right) \Delta u\left(x,s\right) \mathrm{d} s+|u| ^{p(x) -2}u.
Rahmoune, Abita
doaj   +1 more source

Blow-up rate estimates and blow-up set for a system of two heat equations with coupled nonlinear neumann boundary conditions

open access: yes, 2020
This paper deals with the blow-up properties of positive solutions to a parabolic system of two heat equations, defined on a ball in associated with coupled Neumann boundary conditions of exponential type.
Maan A Rasheed (16279517)   +1 more
core   +1 more source

Global and blow-up solutions for a nonlinear reaction diffusion equation with Robin boundary conditions

open access: yesBoundary Value Problems, 2020
In the paper, we investigate global and blow-up solutions for a class of nonlinear reaction diffusion equations with Robin boundary conditions. By using auxiliary functions and a first-order differential inequality technique, we establish conditions on ...
Huimin Tian, Lingling Zhang
doaj   +1 more source

Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions

open access: yesAbstract and Applied Analysis, 2014
We study the blow-up and global solutions for a class of quasilinear parabolic problems with Robin boundary conditions. By constructing auxiliary functions and using maximum principles, the sufficient conditions for the existence of blow-up solution, an ...
Juntang Ding
doaj   +1 more source

Blow-up methods for slow-fast systems [PDF]

open access: yes, 2022
The project shows that the blow-up method is relevant in the analysis of slow-fast systems. In particular two physical problems are presented. The first problem is the study of thixotropic yield stress fluids.
Bossolini, Elena
core  

Loop blow-up inflation

open access: yesJournal of High Energy Physics
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   +1 more source

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