New a priori estimate of the 3D Navier-Stokes equations and its application to the Liouville-type theorem
関数方程式セミナー
開催期間
2016.1.15(金)
15:30 ~ 17:00
15:30 ~ 17:00
場所
福岡大学・セミナーハウス・2階セミナー室D
講演者
小薗 英雄 (早稲田大学)
概要
Consider the 3D homogeneous stationary Navier-Stokes equations in the whole space. We deal with solutions vanishing at infinity in the class of the finite Dirichlet integral. By means of quantities on the vorticity and the velocity itself with the same scaling properties as the Dirichlet integral, we establish a new a priori estimates. As an application, we prove the Liouville theorem in the marginal case of scaling invariant class. This is a joint work with Profs. Yutaka Terasawa and Yuta Wakasugi at Nagoya University.
リンク:セミナーHP
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