Vorticity and Regularity for Solutions of Initial-boundary Value Problems for the Navier—Stokes Equations

  • Hugo Beirão da Veiga
Part of the Trends in Mathematics book series (TM)


In reference [7], among other side results, we prove that the solution of the evolution Navier—Stokes equations (1.1) under the Navier (or slip) boundary condition (1.2) is necessarily regular if the direction of the vorticity is 1/2-Hölder continuous with respect to the space variables. In this notes we show the main steps in the proof and made some comments on the above problem under the non-slip boundary condition (3.2).


Weak Solution Stokes Equation Stokes System Slip Boundary Condition Side Result 
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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2006

Authors and Affiliations

  • Hugo Beirão da Veiga
    • 1
  1. 1.Dipartimento di Matematica Applicata “U. Dini”Università di PisaPisaItaly

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