The Cauchy problem and the initial boundary value problem in the half space of the Stokes and Navier-Stokes equations are studied. The existence and uniqueness of classical solutions (u,p) no requiring convergence at infinity are proved. A priori the fields u and p are nondecreasing at infinity. In both the problems is given a suiotable pointwise behavior of the pressure field.
STOKES AND NAVIER-STOKES PROBLEMS IN A HALF-SPACE: THE EXISTENCE AND UNIQUENESS OF SOLUTIONS A PRIORI NONCONVERGENT TO A LIMIT AT INFINITY
MAREMONTI, Paolo
2009
Abstract
The Cauchy problem and the initial boundary value problem in the half space of the Stokes and Navier-Stokes equations are studied. The existence and uniqueness of classical solutions (u,p) no requiring convergence at infinity are proved. A priori the fields u and p are nondecreasing at infinity. In both the problems is given a suiotable pointwise behavior of the pressure field.File in questo prodotto:
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