STABILITY AND UNIQUENESS FOR A TURBULENCE MODEL OF BURGERS.

C. O. Horgan; W. E. Olmstead

doi:10.1090/qam/495602

STABILITY AND UNIQUENESS FOR A TURBULENCE MODEL OF BURGERS.

C. O. Horgan^*, W. E. Olmstead

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English (US)
Pages (from-to)	121-127
Number of pages	7
Journal	Quarterly of Applied Mathematics
Volume	36
Issue number	2
DOIs	https://doi.org/10.1090/qam/495602
State	Published - 1978

ASJC Scopus subject areas

Applied Mathematics

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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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STABILITY AND UNIQUENESS FOR A TURBULENCE MODEL OF BURGERS.

Abstract

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