Partial regularity of weak solutions of the viscoelastic Navier-Stokes equations with damping

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

We prove an analog of the Caffarelli-Kohn-Nirenberg theorem for weak
solutions of a system of PDE 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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