Bifurcation of rotating patches from Kirchhoff vortices

In [4]-[6] classes of initial data to the three dimensional, incompressible Navier- Stokes equations were presented, generating a global smooth solution although the norm of the

While completing this work, smooth desingularized point vortex solutions of the form of translating vortex pairs or co-rotating vortices were also constructed using a

Taking advantage of the stratification effect due to the Coriolis force, significant results have been obtained which are still out of reach for the usual Navier-Stokes system, such

Abstract This short note studies the problem of a global expansion of local results on existence of strong and classical solutions of Navier-Stokes equations in R 3..

Gomez-Serrano, Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations Duke Math.. Gomez-Serrano, Uniformly rotating

We study analytical and numerical aspects of the bifurcation diagram of simply- connected rotating vortex patch equilibria for the quasi-geostrophic shallow-water (QGSW) equa-

Rotating solutions of a parametrically driven pendulum are studied via a perturbation method by assuming the undamped unforced Hamiltonian case as basic solution, and damping

However the strategy used in [4] applies: this is the strategy one uses to construct Leray solutions in the context of the Navier-Stokes equations, which consists in first