Large-time behavior of the weak solution to 3D Navier-Stokes equations

نویسنده

  • Alexander G. Ramm
چکیده

The weak solution to the Navier-Stokes equations in a bounded domain D ⊂ R3 with a smooth boundary is proved to be unique provided that it satisfies an additional requirement. This solution exists for all t ≥ 0. In a bounded domain D the solution decays exponentially fast as t → ∞ if the force term decays at a suitable rate.

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عنوان ژورنال:
  • Appl. Math. Lett.

دوره 26  شماره 

صفحات  -

تاریخ انتشار 2013