Kato, strong l psolutions to the navierstokes equations in r m, with applications to weak solutions, math. Introduction to the theory of the navierstokes equations. Elles sont nommees dapres deux physiciens du xix e siecle, claude navier et george stokes. Euler and navierstokes equations for incompressible fluids. These type of solutions are not unique and by using such solutions one can construct a periodic, smooth, divergencefree initial vector field allowing a spaceperiodic and timebounded external force such that there exists a smooth solution to the 3dimensional navierstokes equations for incompressible fluid with those initial conditions, but. Introduction to the theory of the navierstokes equations for. A wave equation approach to the numerical solution of the. Les liquides peuvent etre consideres comme des fluides incompressibles eau, huile, etc. Kato, strong solutions of the navierstokes equation in morrey spaces, bol.
Statique et dynamique des fluides fluides newtoniens et. Les fluides incompressible et compressible les fluides. Elements finis pour les fluides incompressibles mejdi. Les forces visqueuses vsont in niment grandes devant les forces inertielles. These type of solutions are not unique and by using such solutions one can construct a periodic, smooth, divergencefree initial vector field allowing a spaceperiodic and timebounded external force such that there exists a smooth solution to the 3dimensional navier stokes equations for incompressible fluid with those initial conditions, but. Le fluide est suppose incompressible cestadire quil y a conservation du vo.
Mecanique des fluides numerique, est fortement recommande pour les. Solutions to 3dimensional navierstokes equations for. Time step restrictions using semiexplicit methods for. Pdf on etablit dans cette lecon les equations du mouvement dun fluide visqueux. On note uet ples champs eul eriens caract erisant son mouvement. Oct 18, 2011 michel deville elements finis pour les fluides incompressibles. Elements finis pour les fluides incompressibles mejdi azaiez, michel deville, ernest mund ean. Mst33dynamique lineaire des fluides incompressibles. The stokes problem steady and nonsteady stokes problem, weak and strong solutions, the stokes operator 4.