Abstract:
We study boundary value problems on an interval and on the half-line for the well-known Thomas equation $u_{xt}+\alpha u_x+\beta u_t+u_xu_t=0$, 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.
Keywords:Sobolev-type nonlinear equation, blowup, local solvability, nonlinear capacity, blowup time estimate.
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