The Cauchy problem for the Navier-Stokes-Coriolis equations with spatially almost periodic initial data

Speaker(s)

Yoshikazu Giga

Affiliation

Uniwersytet Tokijski

Date

July 30, 2008, 12:15 p.m.

Room

room 5440

Seminar

Seminar of Mathematical Physics Equations Group

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We survey solvability results on the Navier-Stokes equations with or without the Coriolis force when initial velocity may not decay at the spatial infinity. A typical such datum is a spatially almost periodic datum. We introduce a suitable space so that the life span can be taken uniformly in the magnitude of rotation. A global existence result for small initial data is given for nondecaying initial data for the Navier-Stokes-Coriolis equations.

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