Spectral analysis of the incompressible viscous Rayleigh-Taylor system in \({\mathbb{R}}^3\)

DOI10.1007/s42286-022-00065-5zbMath1494.34081arXiv2011.14319OpenAlexW3213839402MaRDI QIDQ2169175

Ti\^én-Tài Nguy\^ẽn, Olivier Lafitte

Publication date: 2 September 2022

Published in: Water Waves (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.14319

zbMATH Keywords

spectral theoryself-adjoint operatorRayleigh-Taylor instabilitylinear growth rate

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Linear operators defined by compactness properties (47B07) Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (1)

Linear and nonlinear analysis of the viscous Rayleigh-Taylor system with Navier-slip boundary conditions

Cites Work

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• Nonlinear instability for nonhomogeneous incompressible viscous fluids
• On the dynamical Rayleigh-Taylor instability
• Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. I
• Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. II
• Perturbation theory for linear operators.
• Linear Rayleigh–Taylor Instability for Viscous, Compressible Fluids
• Spectral Theory and its Applications
• The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I

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