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On a Nonstationary Model of a Catalytic Process in a Fluidized Bed

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Abstract

In the half-strip 0 ≤ x ≤ h, t ≤ 0 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 Holder continuous solution and generalized piecewise smooth and smooth solutions. For the piecewise smooth solution we prove the stabilization of some functionals as t → ∞.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    V. P. Gaevoi

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  1. V. P. Gaevoi
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Original Russian Text Copyright © 2005 Gaevoi V. P.

In memory of Tadei Ivanovich Zelenyak.

__________

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 1000–1010, September– October, 2005.

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Gaevoi, V.P. On a Nonstationary Model of a Catalytic Process in a Fluidized Bed. Sib Math J 46, 796–804 (2005). https://doi.org/10.1007/s11202-005-0078-y

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  • DOI: https://doi.org/10.1007/s11202-005-0078-y

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