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Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 4
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Original Articles

Initial-boundary value problem for a compressible dusty gas model

Pages 391-403 | Received 02 Aug 2004, Accepted 01 Aug 2004, Published online: 15 Aug 2006
 

Abstract

Initial-boundary value problem describing one-dimensional two-phase flows of a compressible viscous dusty gas in a channel is considered. Global-in-time unique solvability for small initial data and the exponential decay of the energy for a small total mass of the dust are proved.

Acknowledgement

This work was partially supported by the Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq-Brazil).

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