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math.AP2019
New results for the Oseen problem with applications to the Navier-Stokes equations in exterior domains
Thomas Eiter, Giovanni P. Galdi
We prove new existence and uniqueness results in full Sobolev spaces for the steady-state Oseen problem in a smooth exterior domain of , . These results are t…
math.AP2019
Viscous Flow past a Body Translating by Time-Periodic Motion with Zero Average
Giovanni P. Galdi
We study existence, uniqueness, regularity and asymptotic spatial behavior of a Navier-Stokes flow past a body moving by a time-periodic translational motion of period , and wit…
math.AP2019
On weak solutions to the problem of a rigid body with a cavity filled with a compressible fluid, and their asymptotic behavior
Giovanni Paolo Galdi, Václav Mácha, Šárka Nečasová
We prove the existence of a weak solution to the equations describing the inertial motions of a coupled system constituted by a rigid body containing a viscous compressible fluid.…