报告题目：A fluid-solid interaction problem in porous media

报 告 人：Diego Alonso-Oran(Ramón y Cajal Researcher @ULL Universidad de La Laguna)

报告时间：2026年6月4日（星期四）9:00 – 9:45

报告地点：见好就收才是赢太阳9728114（小报告厅）      

校内联系人：廖娴 教授       联系方式：84708351-8510

Abstract: In this talk, I will derive asymptotic interface models for an elastic Muskat free boundary problem describing Darcy flow beneath an elastic membrane. In a weakly nonlinear regime of small interface steepness, we obtain nonlocal evolution equations that capture the free-boundary dynamics up to quadratic order. In the long-wave thin-film regime, we rewrite the kinematic condition in flux form, flatten the moving domain, and derive a lubrication-type equation. Moreover, we establish well-posedness for these models in suitable Wiener spaces. This is joint work with R. Granero-Belinchón.