Peter Constantin, Giovanni Gallavotti, Alexandre V. Kazhikhov, Yves Meyer, Seiji Ukai, Marco Cannone, Tetsuro Miyakawa
Constantin presents the Euler equations of ideal incompressible fluids and the blow-up problem for the Navier-Stokes equations of viscous fluids, describing major mathematical questions of turbulence theory. These are connected to the Caffarelli-Kohn-Nirenberg theory of singularities for the incompressible Navier-Stokes equations, explained in Gallavotti's lectures. Kazhikhov introduces the theory of strong approximation of weak limits via the method of averaging, applied to Navier-Stokes equations. Y. Meyer focuses on nonlinear evolution equations and...
Constantin presents the Euler equations of ideal incompressible fluids and the blow-up problem for the Navier-Stokes equations of viscous ...
Peter Constantin, Arnaud Debussche, Giovanni P. Galdi, Michael Růžička, Gregory Seregin, Franco Flandoli, Hugo Beirão da
This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering. The contributions cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid, but also generalized Newtonian fluids, fluids interacting with particles and with solids, and stochastic models. The questions addressed in the lectures range from the basic problems of existence of weak and more regular solutions, the local regularity theory and analysis of potential singularities, qualitative...
This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with p...
