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arxiv: 1903.08077 · v1 · pith:S47JT5PMnew · submitted 2019-03-19 · 🧮 math.AP · math.FA

Behaviour of the Stokes operators under domain perturbation

classification 🧮 math.AP math.FA
keywords operatorsstokesdomainbehaviourboundaryconditionsconvergeconverging
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Depending of the geometry of the domain, one can define --at least-- three different Stokes operators with Dirichlet boundary conditions. We describe how the resolvents of these Stokes operators converge with respect to a converging sequence of domains.

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