CaltechAUTHORS
Published October 1983 | public
Journal Article Metadata-only

Nonlinear stability conditions and a priori estimates for barotropic hydrodynamics

Holm, Darryl D.
Marsden, Jerrold E.
Ratiu, T. ORCID icon
Weinstein, Alan J.
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Abstract

A method developed by Arnold to prove nonlinear stability of certain steady states for ideal incompressible flow in two dimensions is extended to the barotropic compressible case. The results are applied to plane shear flow.

Additional Information

© 1983 North Holland. Received 29 June 1983. Available online 19 September 2002. 1 Partially supported by DOE contract ATO382ER12097. We are grateful to Ron DiPerra, Tom Deale, Andy Majda, D. ter Haar, and Steve Wan for their helpful comments on various aspects of this work. 2 Partially supported by NSF grant MCS 81-01642.

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August 19, 2023
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October 20, 2023