Forward self-similar solutions to the viscoelastic Navier-Stokes equation with damping

preprint2016arXivOpen access

Abstract

Motivated by \cite{JS}, we prove that there exists a global, forward self-similar solution to the viscoelastic Navier-Stokes equation with damping, that is smooth for t>0t>0, for any initial data that is homogeneous of degree −1-1.

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