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math.AP2018
Optimal Sobolev regularity for the Stokes equations on a 2D wedge domain
Matthias Köhne, Jürgen Saal, Laura Westermann
In this note we prove that the solution of the stationary and the instationary Stokes equations subject to perfect slip boundary conditions on a 2D wedge domain admits optimal regu…
math.AP2018
Turbulence in active fluids caused by self-propulsion
Christiane Bui, Hartmut Löwen, Jürgen Saal
A rigoros analytical justification of turbulence observed in active fluids and caused by self-propulsion is presented. We prove existence of unstable wave modes for the generalized…