偏微分方程式セミナー: A conservative scheme for solving coupled surface-bulk convection-diffusion equations and its applications

開催日時
2012年   12月 14日 15時 00分 ~ 2012年   12月 14日 16時 00分
場所
Faculty of Science Building #3, Room 205
講演者
Ming-Chih Lai (台湾国立交通大学 応用数学系)
 
Many physical problems arising in biological or material
sciences involve solving partial differential equations in
deformable interfaces or complex domains. For instance,
the surfactant (an amphiphilic molecular) which usually
favors the presence in the fluid interface may couple with
the surfactant soluble in one of bulk domains through adsorption
and desorption processes. Thus, it is important to
accurately solve coupled surface-bulk convection-diffusion
equations especially when the interface is moving. In this
talk, we present a new conservative scheme for solving
this coupled surface-bulk concentration equations which
the total surfactant mass is conserved in discrete sense.
As an application, we extend our previous work to the
interfacial flows with soluble surfactant.






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関連項目

研究集会・セミナー・集中講義の一覧へ