6 citations · 37 across the 17 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
Uniqueness of solutions for Keller-Segel system of porous medium type coupled to fluid equations
Hantaek Bae, Kyungkeun Kang, Seick Kim
We prove the uniqueness of Hölder continuous weak solutions via duality argument and vanishing viscosity method for the Keller-Segel system of porous medium type equations coupled…