Abstract
Let Ω ⊆ ℝ3 be any domain, i.e. any nonempty open connected set in ℝ3. Here we are mainly interested in unbounded domains, δΩ denotes the boundary of Ω. In Ω we consider the system of the Navier-Stokes equations of the form describing the unknown velocity field u = (u 1,u 2,u 3) and the unknown pressure p of a flow within [0, T) x Ω where 0 < T < ∞; f = (f 1, f 2, f 3) denotes the given force and u 0 the given initial velocity at t = 0.
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Sohr, H. (1999). A Special Class of Weak Solutions of the Navier-Stokes Equations in Arbitrary Three-dimensional Domains. In: Escher, J., Simonett, G. (eds) Topics in Nonlinear Analysis. Progress in Nonlinear Differential Equations and Their Applications, vol 35. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8765-6_27
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DOI: https://doi.org/10.1007/978-3-0348-8765-6_27
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