Analyticity, regularity, and generalized polynomial chaos approximation of stochastic, parametric parabolic two-scale partial differential equations

• المؤلف الرئيسي: Hoang, Viet Ha
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2022
• الموضوعات: Science::Mathematics; Stochastic Parabolic Two-Scale Pdes; Generalized Polynomial Chaos Approximation
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/155098
• المؤسسة: Nanyang Technological University

We study two-scale parabolic partial differential equations whose coefficient is stochastic and depends linearly on a sequence of pairwise independent random variables which are uniformly distributed in a compact interval. We cast the problem into a deterministic two-scale parabolic problem which de...