This article addresses the stabilization of nonlinear reaction–diffusion equation with an unknown but bounded delay. Based on Takagi–Sugeno (T–S) fuzzy rules, a T–S partial differential (PDE) model is constructed to describe distributed parameter system. More importantly, we contribute large delay compensation and future state prediction by introducing chain subpredictors for PDE model, converg...

Transport phenomena involved in the leaching of a radioactive material from a composite matrix into surrounding water are investigated using three methods based on theoretical equations. These are: diffusion equation derived for a plane source model, rate equation for diffusion coupled with a first-order reaction and an empirical method employing a polynomial equation. The obtained results are ...

We consider radial decreasing solutions of the semilinear heat equation with exponential nonlinearity. provide a relatively simple proof sharp upper estimates for final blowup profile and refined space-time behavior. actually establish global, estimate, which contains those profiles as special cases.