2 problems

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Mitrea's analytic semigroup conjecture for the Stokes operator in planar Lipschitz domains
Let $\Omega$ be a two-dimensional bounded Lipschitz domain, and let $\mathrm{L}^p_{\sigma}(\Omega)$ denote the space of solenoidal vector fields in $\mathrm{L}^p(\Omega)$ . Let $p$ …
Conjectureopenanalytic-semigroups lipschitz-domains stokes-operatorarXiv posted 2 days ago
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Foias–Saut generic non-resonance conjecture for the Dirichlet Stokes spectrum
Foias–Saut conjecture. Non-resonance should be generic for Dirichlet boundary conditions.
Conjectureopennavier-stokes-equations spectral-theory stokes-operatorarXiv posted 2 days ago

Mitrea's analytic semigroup conjecture for the Stokes operator in planar Lipschitz domains