Blow-up Estimates of the Positive Solution of a Parabolic System

Blow-up estimates for a semilinear coupled parabolic system

This work deals with a semilinear parabolic systemwhich is coupled both in the equations and in the boundary conditions. The blow-up phenomena of its positive solutions are studied using the scaling method, the Green function and Schauder estimates. The upper and lower bounds of blow-up rates are then obtained. Moreover we show the influences of the reaction terms and the boundary absorption te...

Numerical Solution of a Parabolic System with Blow-up of the Solution

Abstract. In this paper, the author proposes a numerical method to solve a parabolic system of two quasilinear equations of nonlinear heat conduction with sources. The solution of this system may blow up in finite time. It is proved that the numerical solution also may blow up in finite time and an estimate of this time is obtained. The convergence of the scheme is obtained for particular value...

a study on construction of iranian life tables: the case study of modified brass logit system

چکیده ندارد.

Blow-up Estimates for Higher-order Semilinear Parabolic Equations

Transition from decay to blow-up in a parabolic system

We show a locally uniform bound for global nonnegative solutions of the system ut = ∆u + uv − bu, vt = ∆v + au in (0, +∞) × Ω, u = v = 0 on (0, +∞)×∂Ω, where a > 0, b ≥ 0 and Ω is a bounded domain in R n , n ≤ 2. In particular, the trajectories starting on the boundary of the domain of attraction of the zero solution are global and bounded.