Weak solutions to the Navier-Stokes equations in a Y-shaped domain

Joanna Rencławowicz; Wojciech M. Zajączkowski

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Displaying similar documents to “Weak solutions to the Navier-Stokes equations in a Y-shaped domain”

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A weak solution of the coupling of time-dependent incompressible Navier–Stokes equations with Darcy equations is defined. The interface conditions include the Beavers–Joseph–Saffman condition. Existence and uniqueness of the weak solution are obtained by a constructive approach. The analysis is valid for weak regularity interfaces.

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Francis Ribaud (2002)

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The motion of a viscous incompressible fluid flow in bounded domains with a smooth boundary can be described by the nonlinear Navier-Stokes equations. This description corresponds to the so-called Eulerian approach. We develop a new approximation method for the Navier-Stokes equations in both the stationary and the non-stationary case by a suitable coupling of the Eulerian and the Lagrangian representation of the flow, where the latter is defined by the trajectories of the particles...

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Remark on regularity of weak solutions to the Navier-Stokes equations.

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Remark on regularity of weak solutions to the Navier-Stokes equations

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Some results on regularity of weak solutions to the Navier-Stokes equations published recently in [3] follow easily from a classical theorem on compact operators. Further, weak solutions of the Navier-Stokes equations in the space $L^{2} (0, T, W^{1, 3} {(𝛺)}^{3})$ are regular.

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