4 citations · 5 across the 4 of their papers we have counts for
4 papers
Uniformly Rotating Euler Configurations with Multiple Vorticity Holes
Vittorio Baroncini, Juan Carlos Cantero, Claudia García +2
We construct new families of uniformly rotating vortex-patch solutions of the two-dimensional incompressible Euler equations consisting of a simply connected outer patch and multip…
Skeleton for the one-dimensional aggregation equation
Juan Carlos Cantero, Joan Orobitg
For the aggregation equation in , we consider the evolution of an initial density corresponding to the characteristic function of some set . We study the limit mea…
well-posedness of some non-linear transport equations
J. C. Cantero
Given a kernel of class and homogeneous of degree , we prove existence and uniqueness of Hölder regular solutions for som…
The regularity of the boundary of vortex patches for some non-linear transport equations
J. C. Cantero, J. Mateu, J. Orobitg +1
We prove the persistence of boundary smoothness of vortex patches for a non-linear transport equation in with velocity field given by convolution of the density with…