英国威尔士阿伯里斯特威斯大学​Gennady Mishuris教授学术讲座

Physical fields within thin poroelastic interphases often vary rapidly, making numerical resolution computationally expensive. Analytical approaches address this by replacing the interphase with imperfect transmission conditions along a zero-thickness interface via asymptotic methods while preserving leading order solution properties. This work examines transmission conditions when elastic and viscous effects occur in distinct asymptotic regimes, leading to atypical coupling between the fields. Such coupling poses mathematical challenges but also enables accurate representation of multiphysics processes at leading order. We develop a method for solving problems governed by these atypical conditions and apply it to two-dimensional poroelasticity in domains with mixed interface types. Exact solutions are derived using integral transforms and expressed as convergent series, with numerical simulations validating the analysis. The results highlight the limitations of classical interface models and demonstrate the importance of atypical conditions for capturing coupling phenomena. Gennady Mishuris is a Professor of Mathematical Modelling at the Department of Mathematics, Aberystwyth University, Wales, UK. His position was established by the Institute for Mathematics and its Applications in Wales in 2007. He graduated from the Faculty of Mathematics and Mechanics at Leningrad (now St. Petersburg) State University in 1982 with a Master's degree in Applied Mathematics (with honors, 'Red Diploma'), and received his PhD from the same university in 1985. After the dissolution of the Soviet Union, he moved to Poland, where he obtained his DSc (habilitation) in the Faculty of Mechanical Engineering at Cracow University of Technology in 1999, earning an award from the Polish Ministry of Education. In 2000, he held an Alexander von Humboldt Fellowship at the University of Erlangen-Nuremberg, Germany; in 2004, a Leverhulme Visiting Fellowship at London South Bank University, UK; and from 2005 to 2007, a Marie Curie Fellowship at the University of Liverpool, UK. He has published over 200 scientific papers and several research monographs. In 2011, he was awarded the title of Belvedere Professor, the highest academic honor in Poland. He holds the Royal Society Wolfson Research Merit Award and was elected a Fellow of the Learned Society of Wales (the national academy of science, arts, and humanities for Wales) in 2014. He also holds a Royal Society Industry Fellowship.