Now showing items 1-10 of 558
Stability of the blow-up time and the blow-up set under perturbations
(Amer Inst Mathematical Sciences, 2010-01)
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 ...
(Revista Mensaje, 2018)
Complete Blow-up and Avalanche Formation for a Parabolic System with Non-Simultaneous Blow-up
(De Gruyter, 2010-08)
We study the possibility of defining a nontrivial continuation after the blow-up time for a system of two heat equations with a nonlinear coupling at the boundary. It turns out that any possible continuation that verify a ...
A simultaneous blow-up problem arising in tumor modeling
(Springer Verlag, 2019)
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.Although macrophages are part of the human immune system, it has been remarkably observed in laboratory experiments that decreasing its number can slow down the ...
Totally discrete explicit and semi-implicit Euler methods for a blow-up problem in several space dimensions
(Springer Wien, 2006-12)
The equation u t =Δu+u p with homogeneous Dirichlet boundary conditions has solutions with blow-up if p>1. An adaptive time-step procedure is given to reproduce the asymptotic behavior of the solutions in the numerical ...
Threshold condition for global existence and blow-up to a radially symmetric drift–diffusion system
For a class of drift–diffusion systems Kurokiba et al. [M. Kurokiba, T. Nagai, T. Ogawa, The uniform boundedness and threshold for the global existence of the radial solution to a drift–diffusion system, Commun. Pure ...
Improved blow-up of solutions of a generalized Boussinesq equation
(Springer HeidelbergHeidelbergAlemanha, 1999)
A complete classification of simultaneous blow-up rates
We study the simultaneous blow-up rates of a system of two heat equations coupled through the boundary in a nonlinear way. We complete the previous known results by covering the whole range of possible parameters.