90 citations · 253 across the 33 of their papers we have counts for
5 papers · 2 filters
A Note on Transport Equation in Quasiconformally Invariant Spaces
Albert Clop, Renjin Jiang, Joan Mateu +1
In this note, we study the well-posedness of the Cauchy problem for the transport equation in the BMO space and certain Triebel-Lizorkin spaces.
Degenerate bifurcation of the rotating patches
Taoufik Hmidi, Joan Mateu
In this paper we study the existence of doubly-connected rotating patches for Euler equations when the classical non-degeneracy conditions are not satisfied. We prove the bifurcati…
An analytical and numerical study of steady patches in the disc
Francisco de la Hoz, Zineb Hassainia, Taoufik Hmidi +1
In this paper, we prove the existence of -fold rotating patches for the Euler equations in the disc, for both simply-connected and doubly-connected cases. Compared to the planar…
Bifurcation of rotating patches from Kirchhoff vortices
Taoufik Hmidi, Joan Mateu
In this paper we prove the existence of countable branches of rotating patches bifurcating from the ellipses at some implicit angular velocities.
Linear transport equations for vector fields with subexponentially integrable divergence
Albert Clop, Renjin Jiang, Joan Mateu +1
We face the well-posedness of linear transport Cauchy problems $$\begin{cases}\dfrac{\partial u}{\partial t} + b\cdot\nabla u + c\,u = f&(0,T)\times{\mathbb R}^n\\u(0,\cdot)=u_0\in…