Hydrodynamics and Nonlinear Instabilities

@inproceedings{Godrche1998HydrodynamicsAN,
  title={Hydrodynamics and Nonlinear Instabilities},
  author={Claude Godr{\`e}che and Paul Manneville},
  year={1998}
}
Preface Overview 1. An introduction to hydrodynamics Bernard Castaing 2. Hydrodynamical instabilities in open flows P. Huerre and M. Rossi 3. Asymptotic techniques in nonlinear problems: some illustrative examples Vincent Halim 4. Pattern forming instabilities Stephan Fauve 5. An introduction to the instability of flames, shocks and detonations G. Joulin and P. Vidal. 
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213 Citations
Highly Influential Citations
9
Background Citations
29
Methods Citations
11
Results Citations
2

213 Citations

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Citation Type

Localized Instabilities in Fluids
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The two-dimensional stability of a shock wave driven by a steadily moving corrugated piston in an inviscid fluid with an arbitrary equation of state is analyzed and small perturbations on the shock front are unstable and grow--at first quadratically and later linearly--with time.
Convective instability of strained layer step flow
Instability of isolated planar shock waves
Previously, expressions governing the temporal evolution of linear perturbations to an isolated, planar, two-dimensional shock front in an inviscid fluid medium with an arbitrary equation of state…
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It is shown that the system of coupled Burgers equations reveals several new types of instabilities, which are studied both analytically and numerically.
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