For other uses, see Unstable (disambiguation). A ball on the top of a hill is an unstable situation. In numerous fields of study, the component of instability within a system is generally characterized by some of the outputs or internal states growing without bounds.
Stability, a property of points in geometric invariant theory K-Stability , a stability condition for algebraic varieties. Bridgeland stability conditions , a class of stability conditions on elements of a triangulated category .
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From Wikipedia, the free encyclopedia Hydrodynamics simulation of a single "finger" of the Rayleigh–Taylor instability. Note the formation of Kelvin–Helmholtz instabilities, in the second and later snapshots shown (starting initially around the level
The Kelvin–Helmholtz instability (after Lord Kelvin and Hermann von Helmholtz) typically occurs when there is velocity shear in a single continuous fluid, or additionally where there is a velocity difference across the interface between two fluids.
The Plateau–Rayleigh instability is named for Joseph Plateau and Lord Rayleigh. In 1873, Plateau found experimentally that a vertically falling stream of water will break up into drops if its wavelength is greater than about 3.13 to 3.18 times its diameter, which he noted is close to π.
Disorders such as chromosome instability can be inherited via genes, or acquired later in life due to environmental exposure. One way that Chromosome Instability can be acquired is by exposure to ionizing radiation. Radiation is known to cause DNA damage, which can cause errors in cell replication, which may result in chromosomal instability.
Craniocervical instability is a medical condition where there is excessive movement of the vertebrae at the atlanto-occipital joint and the atlanto-axial joint, that is, between the skull and the top two vertebrae (C1 and C2).
This process identifies a combustion-instability region and attempts to either eliminate this region or moved the operating region away from it. This is a very costly iterative process. For example, the numerous tests required to develop rocket engines  are largely in part due to the need to eliminate or reduce the impact of thermoacoustic ...
Instability development. The Crow instability is a vortex pair instability, and typically goes through several stages: A pair of counter rotating vortices act upon each other to amplify small sinusoidal distortions in their vortex shapes (normally created by some initial disturbance in the system).