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13 December 2004 The dual integral equation method in hydromechanical systems
N. I. Kavallaris, V. Zisis
J. Appl. Math. 2004(6): 447-460 (13 December 2004). DOI: 10.1155/S1110757X04407153


Some hydromechanical systems are investigated by applying the dual integral equation method. In developing this method we suggest from elementary appropriate solutions of Laplace's equation, in the domain under consideration, the introduction of a potential function which provides useful combinations in cylindrical and spherical coordinates systems. Since the mixed boundary conditions and the form of the potential function are quite general, we obtain integral equations with mth-order Hankel kernels. We then discuss a kind of approximate practicable solutions. We note also that the method has important applications in situations which arise in the determination of the temperature distribution in steady-state heat-conduction problems.


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N. I. Kavallaris. V. Zisis. "The dual integral equation method in hydromechanical systems." J. Appl. Math. 2004 (6) 447 - 460, 13 December 2004.


Published: 13 December 2004
First available in Project Euclid: 13 December 2004

zbMATH: 1083.76048
MathSciNet: MR2200993
Digital Object Identifier: 10.1155/S1110757X04407153

Primary: 45B05 , 45G10

Rights: Copyright © 2004 Hindawi

Vol.2004 • No. 6 • 13 December 2004
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