The nonlinear stability of plane parallel shear flows with respect to tilted perturbations

DOI10.1007/s10473-024-0315-8MaRDI QIDQ6152130

Fangfang Guan, Lan-xi Xu

Publication date: 11 March 2024

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

energy methodenergy functionalnonlinear stabilityReynolds numberplane parallel shear flows

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Parallel shear flows in hydrodynamic stability (76E05)

Cites Work

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• On the nonlinear stability of parallel shear flows
• Nonlinear stability of the rotating Bénard problem, the case of \(\text{Pr}=1\)
• Necessary and sufficient conditions for the stability of flows of incompressible viscous fluids
• The energy method, stability, and nonlinear convection.
• On the nonlinear stability of parallel shear flow in the presence of a coplanar magnetic field
• Hydrodynamic Stability Without Eigenvalues
• Hydrodynamic Stability
• A Generalized Energy Functional for Plane Couette Flow

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