This article is cited in 2 papers

On a nonstationary model of a catalytic process in a fluidized bed

V. P. Gaevoi

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: In the half-strip $0\leqslant x\leqslant h$, $y\geqslant0$ we consider a mixed problem for an almost linear system of three first order PDEs, one of which does not involve derivatives with respect to $t$. We prove the existence and uniqueness of a generalized Hölder continuous solution and generalized piecewise smooth and smooth solutions. For the piecewise smooth solution we prove the stabilization of some functionals as $t\to\infty$.

Keywords: differential equation, partial derivative, generalized solution, stabilization.

UDC: 517.95

Received: 17.04.2005

 English version: Siberian Mathematical Journal, 2005, 46:5, 796–804

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