论文标题
Wong-Zakai近似和支持定理2D和3D随机对流Brinkman-Forchheimer方程
Wong-Zakai approximation and support theorem for 2D and 3D stochastic convective Brinkman-Forchheimer equations
论文作者
论文摘要
在这项工作中，我们证明了两个维度和三维随机对流Brinkman-Forchheimer（SCBF）方程的Wong-Zakai近似结果，由希尔伯特（Hilbert）空间估价有限域上的维也纳噪声强迫。即使已知强大的SCBF方程解决方案的存在和唯一性，但SCBF方程的溶解度结果并不立即存在于SCBF方程的唯一解决方案，我们通过使用Faedo-Galerkin近似技术和单次性性参数来证明它。此外，作为Wong-Zakai近似的应用，我们获得了解决SCBF方程的分布的支持。
In this work, we demonstrate the Wong-Zakai approximation results for two and three dimensional stochastic convective Brinkman-Forchheimer (SCBF) equations forced by Hilbert space valued Wiener noise on bounded domains. Even though the existence and uniqueness of a pathwise strong solution to SCBF equations is known, the existence of a unique solution to the approximating system is not immediate from the solvability results of SCBF equations, and we prove it by using Faedo-Galerkin approximation technique and monotonicity arguments. Moreover, as an application of the Wong-Zakai approximation, we obtain the support of the distribution of solutions to SCBF equations.
