Open Access
2003 A vanishing viscosity fluidized bed model
Gonzalo Galiano, Julián Velasco, Santiago de Vicente
Differential Integral Equations 16(4): 473-498 (2003). DOI: 10.57262/die/1356060654


The evolution of one-dimensional fluidized beds may be modeled in form of a system of partial differential equations of the compressible Navier-Stokes type where the viscosity depends on the density, which may vanish, the source term is nonlinear, and the constitutive law for the pressure blows up for finite values of the density. A finite-differences scheme is used to solve an approximated problem in Lagrangian coordinates, which we show to be equivalent to the corresponding problem in Eulerian coordinates. We then prove compactness and convergence properties of the sequence of solutions of the approximated problems and partially identify the limit as a solution of the original problem.


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Gonzalo Galiano. Julián Velasco. Santiago de Vicente. "A vanishing viscosity fluidized bed model." Differential Integral Equations 16 (4) 473 - 498, 2003.


Published: 2003
First available in Project Euclid: 21 December 2012

zbMATH: 1161.76554
MathSciNet: MR1972876
Digital Object Identifier: 10.57262/die/1356060654

Primary: 76N10
Secondary: 35Q30 , 76T10

Rights: Copyright © 2003 Khayyam Publishing, Inc.

Vol.16 • No. 4 • 2003
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