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タイトル Classical Solvability of Radial Viscous Fingering Problems in a Hele-Shaw Cell
開催日時 2018年12月21日 16:45 ~
主催者
講演者 谷 温之 氏(慶應・名誉教授)
場所 慶應義塾大学理工学部 14棟 733 (創想館 7階 ミーティング3)
内容 We discuss two-phase radial viscous fingering problem in a Hele-Shaw cell, which is a nonlinear problem with a free boundary for elliptic equations. Unlike the Stefan problem for heat equations Hele-Shaw problem is of hydrodynamic type.
In this talk the classical solvability of two-phase Hele-Shaw problem with radial geometry is established by applying the same method as for the Stefan problem and justifying the vanishing the coefficients of the derivative with respect to time in parabolic equations.
Included historical survey, present and future problems.
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