Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Stability and uniqueness for a turbulence model of Burgers


Authors: C. O. Horgan and W. E. Olmstead
Journal: Quart. Appl. Math. 36 (1978), 121-127
MSC: Primary 76.35; Secondary 35Q99
DOI: https://doi.org/10.1090/qam/495602
MathSciNet review: 495602
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Abstract: In his early work on mathematical models of turbulence, J. M. Burgers proposed a nonlinear system, coupling an ordinary and a partial differential equation, to simulate flow in a channel. The now well-known Burgers equation arose in his work from a simplification of this system. The original system has some interesting features not shared by the Burgers equation. This investigation establishes results on the stability of the ``laminar'' stationary solution and uniqueness of the nonstationary solution of the system.


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DOI: https://doi.org/10.1090/qam/495602
Article copyright: © Copyright 1978 American Mathematical Society


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