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Showing 1 to 3 of 3 for “"Maximal regularity"”.
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Passive Scalar Transport by Non-Smooth Incompressible Fluids: Mixing and Vanishing Viscosity
… flows characterised by vector fields of lower regularity—a crucial feature in understanding turbulent dynamics. Through careful examination of these flows in various function spaces, particularly Sobolev spaces, we develop new analytical tools and insights into three key areas: well-posedness, …
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Shape optimization of a floating body
… continuity of the stream function, which is the maximal regularity which can be proved. A nondegeneracy property of the stream function leads to density estimates on the free surface of the fluid which imply that the free boundary has locally finite perimeter. We use the concept of blow-up limits …