Instability of plane shear flows

DOI10.1016/j.na.2014.06.010zbMath1432.76103OpenAlexW2036189895MaRDI QIDQ399085

Shaozhu Chen, Bing Xie, Jian Gang Qi

Publication date: 19 August 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.06.010

zbMATH Keywords

instabilitySturm-Liouville problemshear flowRayleigh equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items

Instability of the Rayleigh problem with piecewise smooth steady states ⋮ Research on singular Sturm-Liouville spectral problems with a weighted function

Cites Work

• On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces
• The Unstable Spectrum of Oscillating Shear Flows
• Instability of Some Ideal Plane Flows
• Instability in Parallel Flows Revisited
• Necessary and Sufficient Condition for the Stability of Plane Parallel Inviscid Flow
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