Premium
A Diffusion Equation Illustrating Spectral Theory for Boundary Layer Stability
Author(s) -
Herron Isom H.
Publication year - 1982
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1982673231
Subject(s) - eigenfunction , mathematics , infinity , mathematical analysis , stability (learning theory) , diffusion equation , eigenvalues and eigenvectors , diffusion , nonlinear system , boundary value problem , physics , thermodynamics , economy , quantum mechanics , machine learning , computer science , economics , service (business)
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.