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Hydrodynamic and Hydromagnetic Stability

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The article was published on 1961-01-01 and is currently open access. It has received 11419 citations till now.

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Numerical solution of the Navier-Stokes equations

TL;DR: In this paper, a finite-difference method for solving the time-dependent Navier-Stokes equations for an incompressible fluid is introduced, which is equally applicable to problems in two and three space dimensions.
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Protostars and Planets VI

TL;DR: Protostars and Planets VI brings together more than 250 contributing authors at the forefront of their field, conveying the latest results in this research area and establishing a new foundation for advancing our understanding of stellar and planetary formation as mentioned in this paper.
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Microfluidics: Fluid physics at the nanoliter scale

TL;DR: A review of the physics of small volumes (nanoliters) of fluids is presented, as parametrized by a series of dimensionless numbers expressing the relative importance of various physical phenomena as mentioned in this paper.
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Initiation of slime mold aggregation viewed as an instability.

TL;DR: A mathematical formulation of the general interaction of amoebae, as mediated by acrasin is presented, and a detailed analysis of the aggregation process is provided.
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A Numerical Method for Solving Incompressible Viscous Flow Problems

TL;DR: In this article, a numerical method for solving incompressible viscous flow problems is introduced, which uses the velocities and the pressure as variables and is equally applicable to problems in two and three space dimensions.
References
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The Instability of Liquid Surfaces when Accelerated in a Direction Perpendicular to their Planes. I

TL;DR: In this article, it was shown that when two superposed fluids of different densities are accelerated in a direction perpendicular to their interface, this surface is stable or unstable according to whether the acceleration is directed from the heavier to the lighter fluid or vice versa.
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Stability of a Viscous Liquid Contained between Two Rotating Cylinders

TL;DR: In this paper, it was shown that if the velocity of the fluid exceeds a certain limit, depending on the viscosity of the viscous fluid and the configuration of the boundaries, the steady motion breaks down and eddying flow sets in.