A parabolic equation on domains with random boundaries

Duong Thanh Pham; Thanh Tran

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arXiv · 2009.13997

A parabolic equation on domains with random boundaries

Duong Thanh Pham·Thanh Tran

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Abstract

A heat equation with uncertain domains is thoroughly investigated. Statistical moments of the solution is approximated by the counterparts of the shape derivative. A rigorous proof for the existence of the shape derivative is presented. Boundary integral equation methods are used to compute statistical moments of the shape derivative.

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Duong Thanh Pham, Thanh Tran. 2020-09-29. A parabolic equation on domains with random boundaries. https://arxiv.org/abs/2009.13997

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