Fractal mobile-immobile solute transport model and related inverse problem

发布时间：2020-11-24 作者：浏览次数：

Speaker:	李功胜	DateTime:	2020年11月29日（周日）上午10:00-11:00
Brief Introduction to Speaker: 李功胜，山东理工大学教授，数学学院院长。		Place:	腾讯会议（会议号请联系蒋代军老师索取）
Abstract:In this talk, a fractal mobile-immobile (MIM in short) system for reactive solute transport is derived based on the longtime dynamics of mass transfer in the immobile zone in a heterogenous porous media, where the transport in the mobile is given by advection-dispersion equation, and the diffusion in the immobile is described by a time fractional differential equation. A finite difference scheme is put forward to solve the MIM model, and the convergence and stability of the scheme are proved based on the spectrum estimation of the coefficient matrix. Furthermore, an inverse problem of simultaneously identifying the fractional order and the degradation coefficient is considered with the additional data at one interior point, and the uniqueness is proved with the help of Laplace transform and the maximum principle of elliptic operator, and numerical inversions with noisy data are presented using the homotopy regularization algorithm.