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- W4283766777 abstract "We study the generalized unsteady Navier–Stokes equations with a memory integral term under non-homogeneous Dirichlet boundary conditions. Using a suitable fractional Sobolev space for the boundary data, we introduce the concept of strong solutions. The global-in-time existence and uniqueness of a small-data strong solution is proved. For the proof of this result, we propose a new approach. Our approach is based on the operator treatment of the problem with the consequent application of a theorem on the local unique solvability of an operator equation involving an isomorphism between Banach spaces with continuously Fréchet differentiable perturbations." @default.
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- W4283766777 date "2022-07-01" @default.
- W4283766777 modified "2023-09-26" @default.
- W4283766777 title "Generalized Navier–Stokes Equations with Non-Homogeneous Boundary Conditions" @default.
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- W4283766777 doi "https://doi.org/10.3390/fractalfract6070373" @default.
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