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arxiv: 1601.07478 · v1 · pith:HC3M77PXnew · submitted 2016-01-27 · 🧮 math.AP

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

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keywords dampingequationforwardnavier-stokesself-similarviscoelasticcitedata
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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 $-1$.

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