On the use of biorthogonality relations in the solution of some boundary value problems for the biharmonic equation

Current Science

Volumn 85, Issue 7, 2003, Pages 975-979

  Shankar, P N ^a  

^a SURFACE ENGINEERING DIVISION   (India)

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[No Author keywords available]

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EID: 4444250417     PISSN: 00113891     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. Friedman, B., Principles and Techniques of Applied Mathematics, Wiley, New York, 1964.
2. Joseph, D. D., The convergence of biorthogonal series for biharmonic and Stokes flow edge problems. Part I. SIAM J. Appl. Math., 1977, 33, 337-347.
3. Smith, R. C. T., The bending of a semi-infinite strip. Aust. J. Sci. Res., 1952, 5, 227-237.
4. Joseph, D. D. and Sturges, L., The free surface on a liquid filling a trench heated from its side. J. Fluid Mech., 1975, 69, 565-589.
5. Joseph, D. D. and Sturges, L., The convergence of biorthogonal series for biharmonic and Stokes flow edge problems: Part II. SIAM J. Appl. Math., 1978, 34, 7-26.
6. Joseph, D. D., Sturges, L. and Warner, W. H., Convergence of biorthogonal series of biharmonic eigenfunctions by the method of Titchmarsh. Arch. Ration. Mech. Anal., 1982, 78, 223-274.
7. yy(0,y) are prescribed. J. Elast., 1980, 10, 57-80.
8. Shankar, P. N., The eddy structure in Stokes flow in a cavity. J. Fluid Mech., 1993, 250, 371-383.
9. Rudin, W., Principles of Mathematical Analysis, McGraw-Hill, Tokyo, 1976.