Well-posedness of a fully coupled Navier-Stokes/\(\mathrm Q\)-tensor system with inhomogeneous boundary data (Q2927878)

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scientific article; zbMATH DE number 6365825
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Well-posedness of a fully coupled Navier-Stokes/\(\mathrm Q\)-tensor system with inhomogeneous boundary data
scientific article; zbMATH DE number 6365825

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    4 November 2014
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    incompressible Navier-Stokes equations
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    weak solutions
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    local and global existence and uniqueness of solutions
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    Well-posedness of a fully coupled Navier-Stokes/\(\mathrm Q\)-tensor system with inhomogeneous boundary data (English)
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    This paper deals with the existence of weak solutions and well-posedness for the incompressible Navier-Stokes equations coupled with a second order parabolic equation in a bounded domain with inhomogeneous boundary data. The results concerning global existence of weak solutions, in the case of homogeneous Neumann boundary conditions, and local existence and uniqueness of weak solutions with regularity in time are established. The paper may be of interest to someone working in this area.
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