This article is cited in 1 paper

Existence and stability of summable generalized solutions in a mathematical model of a catalytic process in a boiling layer

V. P. Gaevoĭ

Sobolev Institute of Mathematics, SB RAS, Novosibirsk

Abstract: For a system of first order partial differential equations describing a catalytic process in a boiling layer, we consider a mixed problem in the half-strip $ 0\le x\le h$, $t\ge0$. We prove the existence and uniqueness of a bounded summable generalized solution and study its stability. We prove the stabilization as $t\to\infty$ of the values of some physically meaningful functionals of solutions.

Keywords: mixed problem, generalized solution, stability.

UDC: 517.95

Received: 24.06.2009

 English version: Journal of Applied and Industrial Mathematics, 2011, 5:1, 51–64

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