Nonlinear Stability of Asymptotic Suction
Copyright policy )Nonlinear Stability of Asymptotic Suction
The semigroup approach to the Navier-Stokes equation in halfspace is used to prove that the stability of the asymptotic suction velocity profile is determined by the eigenvalues of the classical Orr-Sommerfeld equation. The usual obstacle, namely, that the corresponding linear operator contains 0 0 in the spectrum is removed with the use of weighted spaces.
small perturbations, abstract semilinear parabolic equation, Navier-Stokes equations for incompressible viscous fluids, asymptotic suction velocity profile, Orr-Sommerfeld equation, Nonlinear parabolic equations, nonlinear stability, Navier-Stokes equations, Spectrum, resolvent, Stability in context of PDEs, Parallel shear flows in hydrodynamic stability
small perturbations, abstract semilinear parabolic equation, Navier-Stokes equations for incompressible viscous fluids, asymptotic suction velocity profile, Orr-Sommerfeld equation, Nonlinear parabolic equations, nonlinear stability, Navier-Stokes equations, Spectrum, resolvent, Stability in context of PDEs, Parallel shear flows in hydrodynamic stability
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