The Convergence of Biorthogonal Series for Biharmonic and Stokes Flow Edge Problems: Part II

Sufficient conditions are established for the convergence of the biorthogonal series solving edge problems which arise in elasticity and in Stokes flow in cavities. These conditions and those given in Part I, (D. D. Joseph, The convergence of biorthogonal series for biharmonic and Stokes flow edge problems, SIAM, J. Appl. Math., 33(1977), pp. 337–347) include all those which are likely to arise in applications. Examples of conditional convergence of the series to step functions and to ramp functions are presented. Problems previously considered to be intractable to analysis are solved by analysis.