CRM: Centro De Giorgi
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New trends in Partial Differential Equations

New a priori estimate of the 3D Navier-Stokes equations and its application to the Liouville-type theorem

speaker: Hideo Kozono (Waseda University, Tokyo)

abstract: 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 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.

Mon 3 Oct, 9:30 - 10:15, Aula Dini
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