We study the time evolution of an incompressible Euler fluid with planar symmetry when the
vorticity is initially concentrated in small disks. We discuss how long this concentration …

Klein et al.(J Fluid Mech 288: 201–248, 1995) have formally derived a simplified asymptotic
motion law for the evolution of nearly parallel vortex filaments in the context of the three …

In this paper, we use the equivariant degree theory to establish a global bifurcation result for
the existence of non-stationary branches of solutions to a nonlinear, two-parameter family of …

The periods of the periodic wave solutions for nearly parallel vortex filaments model are
discussed. By the transformation of variables, the vortex filaments model is reduced to the …

The dynamics of interacting vortex filaments in an incompressible fluid, which are nearly
parallel, have been approximated in the Klein–Majda–Damodaran model. The regime …

We prove the existence of relative periodic solutions of the planar N=∑ j= 1 nkj-body
problem starting with n bodies moving close to a non-degenerate central configuration and …

The distance among two counter-rotating vortex filaments satisfies a beam-type of equation
according to the model derived in [15]. This equation has an explicit solution where two …

Solutions lagrangiennes ou singulières des équations de Vlasov-Poisson et d'Euler: existence,
unicité, interactions et co Page 1 HAL Id: tel-02419493 https://theses.hal.science/tel-02419493 …

Abstract The n+ 1 n+ 1 vortex filament problem has explicit solutions consisting of n parallel
filaments of equal circulation in the form of nested polygons uniformly rotating around a …

We consider the existence of affine-periodic solutions to the nonlinear ordinary differential
equation: 0.1 x′= f (t, x) aex^′=f(t,x) in ℝ n, where f is continuous and ensures the …