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Long-time behavior of one-dimensional compressible Bingham flows

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Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Abstract.

Barotropic flows of one-dimensional compressible Bingham fluids are considered. Long-time behavior of the corresponding initial-boundary problem is investigated. The uniform upper and lower bounds for the density and a decay of the kinetic energy are established. We admit a class of mass forces not considered for similar problems to Newtonian fluids. Under additional assumptions on the mass force, we achieve strong estimates for the solution (uniformly in time) and decays of the velocity and its derivatives.

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Authors and Affiliations

  1. Max-Planck-Institute for Mathematics in the Sciences, Leipzig, Germany

    Ivan V. Basov

  2. Lavrentyev Institute for Hydrodynamics SB RAS, Novosibirsk, Russia

    Ivan V. Basov

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  1. Ivan V. Basov
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Correspondence to Ivan V. Basov.

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Received: April 14, 2004; revised: November 22, 2004

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Basov, I.V. Long-time behavior of one-dimensional compressible Bingham flows. Z. angew. Math. Phys. 57, 59–75 (2005). https://doi.org/10.1007/s00033-005-0005-x

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  • DOI: https://doi.org/10.1007/s00033-005-0005-x

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