2 papers
math.AP2017
On the boundary conditions in estimating by div and curl
Gyula Csató, Olivier Kneuss, Dhanya Rajendran
In this paper we study under what boundary conditions the inequality $$\|\nablaω\|_{L^2(Ω)}^2\leq C\left(\|{\rm curl}ω\|_{L^2(Ω)}^2+ \|{\rm div}ω\|_{L^2(Ω)}^2+\|ω\|_{L^2(Ω)}^2\righ…
math.AP2016
Flows generated by divergence free vector fields with compact support
Olivier Kneuss, Wladimir Neves
We are concerned with the theory of existence and uniqueness of flows generated by divergence free vector fields with compact support. Hence, assuming that the velocity vector fiel…