41 citations · 85 across the 9 of their papers we have counts for
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math.AP2018★ 1 cited
On the local and global existence of solutions to 1D transport equations with nonlocal velocity
Hantaek Bae, Rafael Granero-Belinchón, Omar Lazar
We consider the 1D transport equation with nonlocal velocity field: \begin{equation*}\label{intro eq} \begin{split} &θ_t+uθ_x+νΛ^γθ=0, \\ & u=\mathcal{N}(θ), \end{split} \end{equat…
math.AP2018★ 2 cited
Global well-posedness for the 2D stable Muskat problem in
Diego Cordoba, Omar Lazar
We prove a global existence result of a unique strong solution in with small semi-norm for the 2D Muskat problem, hence allowing the…
math.AP2018
Regularity results for a class of generalized surface quasi-geostrophic equations
Omar Lazar, Liutang Xue
We show a global existence result of weak solutions for a class of generalized Surface Quasi-Geostrophic equation in the inviscid case. We also prove the global regularity of such…