Partial Regularity of Weak Solutions of the Viscoelastic Navier-Stokes Equations with Damping

نویسنده

  • Ryan Hynd
چکیده

We prove an analogue of the Caffarelli–Kohn–Nirenberg theorem for weak solutions of a system of PDEs that model a viscoelastic fluid in the presence of an energy damping mechanism. The system was recently introduced as a possible method of establishing the global-in-time existence of weak solutions of the well-known Oldroyd system.

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عنوان ژورنال:
  • SIAM J. Math. Analysis

دوره 45  شماره 

صفحات  -

تاریخ انتشار 2013