Blowup Solutions of the Nonlinear Thomas Equation

Resumo

We study boundary value problems on an interval and on the half-line for the well-known Thomas equation u_xt + αu_x + βu_t + u_xu_t = 0, which is a model equation describing processes in chemical kinetics with ion exchange during sorption in a reagent stream. For this equation, we obtain sufficient conditions for its solution blowup in a finite time.