A Diffusion Equation Illustrating Spectral Theory for Boundary Layer Stability
The stability of a special solution of a nonlinear diffusion equation is examined. It is shown that the spectral resolution of the linearized stability equation is best accomplished by requiring sufficiently strong decay of the eigenfunctions at infinity. The techniques employed illustrate what is involved in determining the spectral resolution for the equations of hydrodynamic stability when the boundary layer has a transverse component at infinity.
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Document Type: Research Article
Affiliations: Northwestern University
Publication date: December 1, 1982