vortex filament sentence in Hindi
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- Showed that the work of on vortex filaments is closely related to the nonlinear Schr�dinger equation.
- Subsequently used this correspondence to show that breather solutions can also arise for a vortex filament.
- According to the the shedding of a vortex filament down the flow, behind the wing.
- Water striders generate thrust by shedding vortices in the water : a series of " U "-shaped vortex filaments is created during the power stroke.
- This immediately made the problem part of " modern science " since it was then realized that vortex filaments can support solitary twist waves of large amplitude.
- Turbulence in classical fluid is often modelled simply using virtual vortex filaments, around which there is a certain circulation of the fluid, to get a grasp on what is happening in the fluid.
- In 1972 H . Hasimoto used Da Rios'" intrinsic equations " ( later re-discovered independently by R . Betchov ) to show how the motion of a vortex filament under LIA could be related to the non-linear Schr�dinger equation.
- Structural complexity methods are based on applications of differential geometry and topology ( and in particular knot theory ) to interpret physical properties of dynamical systems ( Abraham & Shaw 1992; Ricca 2009 ), such as relations between kinetic energy and tangles of vortex filaments in a turbulent flow or magnetic energy and braiding of magnetic fields in the solar corona, including aspects of topological fluid dynamics.
- Another example of this kind is the so-called " localized induction approximation " ( LIA ) for three-dimensional vortex filament motion, which gained favor in the mid-1960s through the work of Arms, Hama, Betchov and others, but turns out to date from the early years of the 20th century in the work of Da Rios, a gifted student of the noted Italian mathematician T . Levi-Civita.
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