Ideas and methods of A.V. Tsirul'skii that have found application in gravity and magnetic inverse problems are adapted for the solution of stationary thermal problems in piecewise homogeneous media. For a simply connected region bounded by a regular analytical curve (K-parametrized, after Tsirul'skii), a closed solution to the boundary-value problem oftemperature ad ' justment in the forin of Cauchy integrals is derived. Piecewise analytical branches of Cauchy integrals on a Riemannian surface of symmetry solve the external and internal boundary-value problems of adjustment.
机构:
Educ Univ Hong Kong, Dept Math & Informat Technol, 10 Lo Ping Rd, Tai Po, Hong Kong, Peoples R ChinaEduc Univ Hong Kong, Dept Math & Informat Technol, 10 Lo Ping Rd, Tai Po, Hong Kong, Peoples R China
Cheung, Ka-Luen
Chou, Kai-Seng
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Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R ChinaEduc Univ Hong Kong, Dept Math & Informat Technol, 10 Lo Ping Rd, Tai Po, Hong Kong, Peoples R China
机构:
Moscow MV Lomonosov State Univ, Fac Phys, Dept Math, Moscow 119899, RussiaMoscow MV Lomonosov State Univ, Fac Phys, Dept Math, Moscow 119899, Russia