:::

學術專區

:::
演講
活動開始時間2017-07-11 09:30:00
活動結束時間2017-07-11 11:30:00
活動名稱訪問學者演講-A geometric variationalproblem arising from a singular limit of the FitzHugh-Nagumosystem
主講者Prof. Yung-Sze Choi
活動地點綜合三館R734
活動內容點選觀看
附件檔案 檔案下載 Adobe PDF
參考連結 
備註The FitzHugh-Nagumosystem gives rise to a geometric variationalproblem when its parameters take values in a particular range as a consequence of Gamma-convergence. A stationary set of the variationalproblem satisfies an Euler-Lagrange equation that involves the curvature of its boundary, and a nonlocal term that inhibits unlimited growth and spreading. Disc shaped stationary sets in the plane, known as bubbles, are studied. A complete description of the existence and the stability of these solutions is established. Extension of similar results in higher dimension is indicated.
In general such radial bubble cannot be a solution when we treat a finite domain D in the plane. We will briefly describe how to construct these droplet solutions as a perturbation of the bubbles.
最後更新日期2017-07-10 09:51:32
math20161228
cron web_use_log