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math.AP2018
On the Relation between Very Weak and Leray-Hopf Solutions to Navier-Stokes Equations
Giovanni P. Galdi
We prove a general result that implies that very weak solutions to the Cauchy problem for the Navier-Stokes equations must be, in fact, Leray-Hopf solutions if only their initial d…
math.AP2018
On the Motion of a Body with a Cavity Filled with Compressible Fluid
Giovanni Paolo Galdi, Václav Mácha, Šárka Nečasová
We study the motion of the system, S, constituted by a rigid body, B, containing in its interior a viscous compressible fluid, and moving in absence of external forces. Our main ob…