The three-dimensional Euler equations have stood for a quarter of a millenium as a
challenge to mathematicians and physicists. While much has been discovered, the nature of …

Since the 1980s, Fourier analysis methods have become of ever greater interest in the study
of linear and nonlinear partial differential equations. In particular, techniques based on …

This textbook presents a modern account of turbulence, one of the greatest challenges in
physics. The state-of-the-art is put into historical perspective five centuries after the first …

Euler equations for incompressible ideal fluids Page 1 Russian Mathematical Surveys Euler
equations for incompressible ideal fluids To cite this article: Claude Bardos and Edriss Titi …

This self-contained book offers direct access to some of the latest results in fluid mechanics,
giving an authoritative account of the theory of the Euler equations describing a perfect …

We prove asymptotic stability of shear flows close to the planar Couette flow in the 2D
inviscid Euler equations on T× R. That is, given an initial perturbation of the Couette flow …

This is the first of two papers on the zero-viscosity limit for the incompressible Navier-Stokes
equations in a half-space. In this paper we prove short time existence theorems for the Euler …

L'objet de ce livre est d'offrir un texte qui démontre quelques résultats récents ou nouveaux
de mécanique des fluides. Ce texte se veut autocontenu pour un étudiant de maîtrise …

This paper gives a self contained review of some recent progress of the statistical theory of
fully developed turbulence. The emphasis is on both analogies and differences with …

We consider 3D Euler and Navier–Stokes equations describing dynamics of uniformly
rotating fluids. Periodic (as well as zero vertical flux) boundary conditions are imposed, the …