The linear and nonlinear Rayleigh-Taylor instability for the quasi-isobaric profile

DOI10.1016/j.physd.2008.03.017zbMath1147.76573arXiv0707.0045OpenAlexW2016316365MaRDI QIDQ942725

Olivier Lafitte

Publication date: 5 September 2008

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0045

zbMATH Keywords

fluid mechanicssingular differential equationshydrodynamic instabilitiessemiclassical analysisevans functionweakly nonlinear solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items

On the Rayleigh-Taylor instability in presence of a background shear

Cites Work

• The semiclassical regime for ablation front models
• On the dynamical Rayleigh-Taylor instability
• Two-stream instabilities in plasmas
• On nonlinear Rayleigh-Taylor instabilities
• The asymptotic nature of solutions of linear systems of differential equations
• Ablative Rayleigh–Taylor instability with strong temperature dependence of the thermal conductivity
• Self-consistent growth rate of the Rayleigh–Taylor instability in an ablatively accelerating plasma
• Ablative stabilization in the incompressible Rayleigh–Taylor instability
• Nonlinear Instability of the Two-Dimensional Striation Model About Smooth Steady States
• The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I
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