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

Research paper by Baishun Lai, Junyu Lin, Changyou Wang

Indexed on: 27 Jan '16Published on: 27 Jan '16Published in: Mathematics - Analysis of PDEs



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 $t>0$, for any initial data that is homogeneous of degree $-1$.