第108回科学大数理解析セミナー： Xiaofeng Yang 氏 | イベントカレンダー

講演タイトル: Efficient Numerical Algorithms for an Advanced Material System --- Ferrofluids
アブストラクト: Ferrofluids, also known as magnetic fluids, are colloidal solutions consisting of ferromagnetic nanoparticles suspended in a dispersing liquid, typically an organic solvent or water. What makes ferrofluids particularly intriguing is their unique ability to combine the hydrodynamic behavior of Newtonian liquids with the magnetic properties of super-paramagnets. This remarkable feature allows ferrofluids to be precisely controlled by the application of an external magnetic field. Thanks to their distinctive properties — including high magnetic saturation and zero remanence — ferrofluids have found valuable applications in systems requiring precise control. These include optics, drug delivery, and electronic devices, among others. In this talk, we will introduce several representative ferrofluid models, such as the Rosensweig model and the Shliomis model. We will also present the specially designed efficient numerical algorithms to solve the highly coupled and nonlinear Rosensweig system, with a particular focus on the development of a fully decoupled structure that simplifies the discretization process. Finally, we will showcase some intriguing numerical simulations that highlight the complex yet fascinating dynamics of ferrofluids, demonstrating the effectiveness and practicality of the proposed algorithms.

更新日：2025.06.16