On nonlinear Rayleigh-Taylor instabilities

DOI10.1007/s10114-005-0559-8zbMath1177.35166OpenAlexW2111855854MaRDI QIDQ2508623

Emmanuel Grenier, Benoît Desjardins

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0559-8

zbMATH Keywords

Fourier transformCauchy-Kovalevskaya theoremnonlinear Rayleigh-Taylor instabilitynonlinearly unstable mode

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

Ill-posedness of the hydrostatic Euler and singular Vlasov equations ⋮ The linear and nonlinear Rayleigh-Taylor instability for the quasi-isobaric profile

Cites Work

• Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
• A simplified version of the abstract Cauchy-Kowalewski theorem with weak singularities
• Finite Time Analyticity for the Two- and Three-Dimensional Rayleigh-Taylor Instability
• Unnamed Item