| 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.
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