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Keywords:
steady flow of heat; semi-infinite strip; two-dimensional heat conduction; mixed boundary conditions; dual trigonometric series; existence
steady flow of heat; semi-infinite strip; two-dimensional heat conduction; mixed boundary conditions; dual trigonometric series; existence
Summary:
The existence of a solution of the two - dimensional heat conduction equation in a semi-infinite strip, under mixed boundary condition, is discussed.
References:
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[2] R. P. Srivastav: Dual series relations III, Dual relation involving trigonometric series. Proc. Roy. Soc. Edin. Sec. A, 66 (1964), 173-184. MR 0166544
[3] I. N. Sneddon: Mixed boundary value problems in potential theory. North Holland, Amster- dam (1966). MR 0216018 | Zbl 0139.28801
[4] B. Noble J. Whiteman: Solution of dual trigonometric series using orthogonal relations. SIAM, J. Appl. Math. Vol. 18, No. 2 (1970), 372-379. DOI 10.1137/0118031 | MR 0261299
[5] A. Erdelyi, el.: Higher transcendental functions. Vol. I, Bateman Manuscript Project, McGraw-Hill, Inc. (1954).
[6] H. S. Carslaw J. C. Jaeger: Conduction of heat in a solid. 2nd. edition. Oxford University Press (1959).
[7] R. K. Chakraborty: Conduction of heat in a semi-infinite strip and circular boundary. Journal of Tech. (in print). Zbl 0502.35019
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