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Decoupling of the quasistatic system of thermoelasticity on the unit disk

โœ Scribed by Peter Shi; Yongzhi Xu


Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
360 KB
Volume
31
Category
Article
ISSN
0374-3535

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โœฆ Synopsis


Almract. The quasi-static, linearized thermoelastic system on the unit disk is decoupled, such that the temperature satisfies an integro-differential equation. The result, based on the function theoretic method, is of both theoretical and numerical interest.


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Let H be the class of harmonic automorphisms of the unit disk D. The function F =h-g associated with f =h+ g โˆˆ H maps D conformally onto a horizontally convex domain . Conversely, given both f โˆˆ H and F with F(D) = can be retrieved (Theorem 1). Compact subclasses H(M ) โŠ‚ H consisting of Poisson exte