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Homothetic Self-Similar Solutions to the Incompressible Navier-Stokes Equations
We investigate homothetic forward self-similar solutions of the incompressible Navier-Stokes equations: the solutions $\overline{U}$ for which both $\overline{U}$ and $β\overline{U}$ are self-similar profiles for some nontrivial $β$. Homothetic solutions are, in addition, the only solutions for whic
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