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On the Boussinesq Approximation for a Compressible Fluid.

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Rayleigh‐Bénard Convection: Structures and Dynamics

Part 1 Basic concepts. Part 2 Investigation tools: experiment theoretical approaches. Part 3 Main types of convective-flow structures: two-dimensional rolls and three-dimensional cells patterns of…
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Pattern formation in a suspension of swimming microorganisms: equations and stability theory

A model for collective movement and pattern formation in layered suspensions of negatively geotactic micro-organisms is presented. The motility of the organism is described by an average upward…
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The Smoothing of Temperature Fluctuations by Radiative Transfer .

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Blow-up of unsteady two-dimensional Euler and Navier-Stokes solutions having stagnation-point form

The time-dependent form of the classic, two-dimensional stagnation-point solution of the Navier-Stokes equations is considered. If the viscosity is zero, a class of solutions of the initial-value…
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Convection in Stars I. Basic Boussinesq Convection

Convection occurs somewhere in most stars, yet our lack of understanding of convection has not seemed a major impediment to progress in stellar structure in recent years. In part this is true because…
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A Generalization of the Mixing-Length Theory of Turbulent Convection.

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The solar tachocline.

Acoustic sounding of the Sun reveals that the variation of angular velocity with latitude is independent of depth in the convection zone. By contrast, deep within the radiative zone, the rotation…

Convectively driven shear and decreased heat flux

Abstract We report on direct numerical simulations of two-dimensional, horizontally periodic Rayleigh–Bénard convection between free-slip boundaries. We focus on the ability of the convection to…
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Amplitude Equations for Systems with Competing Instabilities

We describe how to derive ordinary differential equations to predict the time dependence of a system governed by partial differential equations when that system is near to the polycritical condition…
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