arXiv subjects

D. Smets

Publications and source records attributed to D. Smets.

2 recordsLinked to original sources

arXiv2020

Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation

In the nineties, Klein, Majda and Damodaran have formally derived a simplified asymptotic motion law for the evolution of nearly parallel vortex filaments in the context of the three dimensional Euler equation for incompressible fluids. In the present work, we rigorously derive the corresponding asymptotic motion law in the context of the Gross-Pitaevskii equation.

math.AP↗

arXiv2003

Remarks on a Sobolev-Hardy inequality

We compute the optimal constant for a generalized Hardy-Sobolev inequality, and using the product of two symmetrizations we present an elementary proof of the symmetries of some optimal functions. This inequality was motivated by a nonlinear elliptic equation arising in astrophysics.

math.AP↗