Analyticity and Gevrey-class regularity for the second-grade fluid equations

نویسندگان

  • Marius Paicu
  • Vlad Vicol
چکیده

We address the global persistence of analyticity and Gevrey-class regularity of solutions to the two and three-dimensional visco-elastic second-grade fluid equations. We obtain an explicit novel lower bound on the radius of analyticity of the solutions to the second-grade fluid equations that does not vanish as t → ∞. Applications to the damped Euler equations are given.

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تاریخ انتشار 2009