标题： 三维趋向运动-Navier-Stokes系统的传输噪声驱动的半离散格式的时间离散化 显示英文标题

标题： Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise

摘要： 本工作致力于研究源于生物学的半离散模型的时间离散数值格式的收敛性，该模型由一个化学生信方程与受输运噪声驱动的三维有界凸域中Navier-Stokes系统的Galerkin逼近耦合而成。 我们提出了一种半隐式Euler数值格式来逼近这一无限维模型，并研究了其适定性，同时推导出关于离散变量的一些一致估计。 显示英文摘要

摘要： This work is devoted to the convergence of a time-discrete numerical scheme of a semi-discretization model arising from biology, consisting of a chemotaxis equation coupled with a Galerkin approximation of Navier-Stokes system driven by transport noise in a three-dimensional bounded and convex domain. We propose a semi-implicit Euler numerical scheme approximating the infinite dimensional model, for which we study the well-posedness and derive some uniform estimates for the discrete variables