Direct lyapunov method in nonlinear stability of complex flows
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Publication:4378494
DOI10.1016/S0362-546X(97)00461-6zbMath0902.76043MaRDI QIDQ4378494
No author found.
Publication date: 5 March 1998
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
variational principlesenergy-Casimir functionalstability of MHD flowsstability of bubbly fluidsstability of solid in rotational flow of ideal incompressible fluid
Nonlinear effects in hydrodynamic stability (76E30) General theory of rotating fluids (76U05) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Stability and instability of geophysical and astrophysical flows (76E20)
Cites Work
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- Nonlinear stability of fluid and plasma equilibria
- Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 2. Stability considerations
- An exact local conservation theorem for finite-amplitude disturbances to non-parallel shear flows, with remarks on Hamiltonian structure and on Arnol'd's stability theorems
- On the energy instability of liquid crystals
- On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 2. Stability criteria for two-dimensional flows
- On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 1. Fundamental principles
- Variational principle for three-dimensional steady-state flows of an ideal fluid
- On the hydrodynamic and hydromagnetic stability of swirling flows
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