On the spectral instability of parallel shear flows

DOI10.5802/slsedp.82zbMath1353.76022OpenAlexW2564226220MaRDI QIDQ344602

Yan Guo, Emmanuel Grenier, Toan T. Nguyen

Publication date: 23 November 2016

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=SLSEDP_2014-2015____A22_0/

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Shear flows and turbulence (76F10) Parallel shear flows in hydrodynamic stability (76E05)

Cites Work

• Spectral instability of characteristic boundary layer flows
• Linear turning point theory
• The complex asymptotic theory of a fourth order differential equation of hydrodynamics
• Asymptotic solution of the differential equation of hydrodynamic stability in a domain containing a transition point
• Spectral instability of general symmetric shear flows in a two-dimensional channel
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