论文标题
具有随机边界的域上的抛物线方程
A parabolic equation on domains with random boundaries
论文作者
论文摘要
彻底研究了具有不确定域的热方程。溶液的统计矩由形状衍生物的对应物近似。提出了形状衍生物存在的严格证明。边界积分方程方法用于计算形状衍生物的统计矩。
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.
