The Nonlinear Asymptotic Stage of the Rayleigh-Taylor Instability With Wide Bubbles and Narrowing Spikes

  1. William I. Newman,
  2. Andrei Gabrielov and
  3. Donald L. Turcotte
  1. V. M. Cherniavski and
  2. Yu. M. Shtemler

Published Online: 21 MAR 2013

DOI: 10.1029/GM083p0097

Nonlinear Dynamics and Predictability of Geophysical Phenomena

Nonlinear Dynamics and Predictability of Geophysical Phenomena

How to Cite

Cherniavski, V. M. and Shtemler, Yu. M. (1994) The Nonlinear Asymptotic Stage of the Rayleigh-Taylor Instability With Wide Bubbles and Narrowing Spikes, in Nonlinear Dynamics and Predictability of Geophysical Phenomena (eds W. I. Newman, A. Gabrielov and D. L. Turcotte), American Geophysical Union, Washington, D. C.. doi: 10.1029/GM083p0097

Author Information

  1. Institute of New Technologies, Moscow, Russia

Publication History

  1. Published Online: 21 MAR 2013
  2. Published Print: 1 JAN 1994

ISBN Information

Print ISBN: 9780875904696

Online ISBN: 9781118670019

SEARCH

Keywords:

  • Geodynamics;
  • Chaotic behavior in systems;
  • Nonlinear theories

Summary

This chapter contains sections titled:

  • Introduction

  • Formulation of the Problem

  • The form of the Steady-State Solution in the Absence of Surface Tension

  • Conservation Laws in the Absence of Friction

  • Nonstationary Jump Conditions in the Neighborhood of the Tongue

  • Consequences of the Conservation Laws for the Stationary Case

  • Froude Number Dependence on the Initial Total Energy

  • Calculation Results

  • Small Amount of Surface Tension and Discontinuity of the Curvature Derivative

  • The First Correciion Term Due to a Large Surface Tension Coefficient

  • Discussion

  • Conclusions