2 4 Se p 20 02 Resolvent estimates for 2 dimensional perturbations of plane Couette flow ∗ Pablo Braz
نویسنده
چکیده
We present results concerning resolvent estimates for the linear operator associated with the system of differential equations governing 2 dimensional perturbations of plane Couette flow. We prove estimates on the L2 norm of the resolvent of this operator showing this norm to be proportional to the Reynolds number R for a region of the unstable half plane. For the remaining region, we show that the problem can be reduced to estimating the solution of a homogeneous ordinary differential equation with non-homogeneous boundary conditions. Numerical approximations indicate that norm of the resolvent is proportional to R in the whole region of interest.
منابع مشابه
Resolvent Estimates for 2 Dimensional Perturbations of Plane Couette Flow *
We present results concerning resolvent estimates for the linear operator associated with the system of differential equations governing perturbations of the Couette flow. We prove estimates on the norm of the resolvent of this operator showing this norm to be proportional to the Reynolds number R for a region of the complex plane. Numerical approximations indicate that the same dependence is v...
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