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Titlebook: Waves in Flows; The 2018 Prague-Sum Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová Book 2021 Springer Nature Switzerland AG 2021 Waves in f

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Semigroup Theory for the Stokes Operator with Navier Boundary Condition on , Spaces,al semigroup theory in ..-spaces related to the Stokes operator with Navier boundary condition where the slip coefficient . is a non-smooth scalar function. It is shown that the strong and weak Stokes operators with Navier conditions admit analytic semigroup with bounded pure imaginary powers. We al
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Remarks on the Energy Equality for the 3D Navier-Stokes Equations,ated with the 3D Navier-Stokes equations with Dirichlet boundary conditions. While the energy equality is satisfied for strong solutions, the dissipation phenomenon is expected to be connected with the roughness of the solutions. A natural question is, then, which regularity is needed for a weak sol
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,Compressible Navier-Stokes System on a Moving Domain in the , − , Framework,vector field ., in a maximal .. − .. regularity framework. Under additional smallness assumptions on the data we show that our solution exists globally in time and satisfies a decay estimate. In particular, for the global well-posedness we do not require exponential decay or smallness of . in ..(..)
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