报告题目：Inverse problem for a Climate Energy Balance Model with memory term

报告人：Cristofol Michel

       Aix Marseille Univ, CNRS, Centrale Marseille, I2M, Marseille, France

      （Joint work with Micka¨el D. Chekroun, Michael Ghil, L. Roques and Samuel Soubeyrand）

报告时间：2017.4.5（星期三） 下午2：00-3：00

报告地点：1518

摘要：

   We study parameter estimation for one-dimensional energy balance models with memory (EBMMs) given localized temperature measurements. These models introduced a delay mechanism in order to take into account the long response times of the ice sheets to temperature changes. Our results apply to a wide range of nonlinear, parabolic partial differential equations (PDEs) with integral memory terms. We show that a space-dependent parameter (here the albedo) can be determined uniquely everywhere in the PDE’s domain of definition D, using only temperature information in a small subdomain E ⊂D.