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Hydrodynamic stability and the inviscid limit

Published online by Cambridge University Press:  28 March 2006

K. M. Case
K. M. Case
Affiliation:
Department of Physics, The University of Michigan, Ann Arbor, Michigan
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Abstract

It is shown that for appropriately posed problems, the solutions of the linearized Navier–Stokes equations approach those of the linearized Euler equations as the viscosity tends to zero.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 10 , Issue 3 , May 1961 , pp. 420 - 429
Copyright
© 1961 Cambridge University Press

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References

Case, K. M. 1960 Phys. Fluids, 3, 143.
Lin, C. C. 1955 The, Theory of Hydrodynamic Stability. Cambridge University Press.