A Theorem is given for the existence of at least one periodic solution of a non-linear mixed problem for the Navier-Stokes system. The proof is given for the bidimensional case and when the wall of the tube is not too permeable.
We demonstrate a theorem of existence and uniqueness on a large scale of the solution of a system of differential disequations associated to a Graffi model relative to the motion of two incompressible viscous fluids.
An existence and uniqueness theorem in the three-dimensional case for the solution a.e. of a Dirichlet problem relative to a non linear elliptic equation and a maximum principle for such a solution are proved. An auxiliary theorem concerning a variational inequality associated to the equation considered is also stated.
The proof of Theorem 3 stated in Note 1 is given.
We demonstrate a theorem of existence and uniqueness on a large scale of the solution of a system of differential disequations associated to a Graffi model relative to the motion of two incompressible viscous fluids.
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