Partial regularity of weak solutions of the viscoelastic Navier-Stokes equations with damping (Q2840359)

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scientific article; zbMATH DE number 6189152
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Partial regularity of weak solutions of the viscoelastic Navier-Stokes equations with damping
scientific article; zbMATH DE number 6189152

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    18 July 2013
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    scale invariance
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    Caffarelli-Kohn-Nirenberg theorem
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    Oldroyd system
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    Partial regularity of weak solutions of the viscoelastic Navier-Stokes equations with damping (English)
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    An analogue of the Caffarelli-Kohn-Nirenberg theorem for weak solutions of a system of PDEs that models a viscoelastic fluid in the presence of an energy damping mechanism is proved. 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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