Steady asymmetric vortex pairs for Euler equations

In section 3, we study the regularity of solutions to the Stokes equations by using the lifting method in the case of regular data, and by the transposition method in the case of

The first result amounts to Castro, C´ ordoba and G´ omez-Serrano [13] who established for the SQG and Euler equations the existence of 3-fold smooth rotating vortices using

We prove that there exists an equivalence of categories of coherent D-modules when you consider the arithmetic D-modules introduced by Berthelot on a projective smooth formal scheme X

When using the KAM argument to guarantee that u still has a set of invariant tori diffeomorphic to {∂T ε (γ i )} N i=1 , one has to face the problem that the local Beltrami field is

– the reflexive separable Banach space introduced in [16] allowing to prove the existence of a weak solution for a class of fractional boundary value problems;... – the

(2010) [2] we show that, in the case of periodic boundary conditions and for arbitrary space dimension d 2, there exist infinitely many global weak solutions to the

The motivation of this study derives mostly from the problem of the convergence of the so called Smoothed Particle Hydrodynamics (SPH) method, a numerical scheme

Nous pr´ esentons une solution num´ erique des ´ equations d’Euler montrant la solution non- born´ ee : l’approximation de la solution est donn´ ee par une s´ erie de Taylor dans