41 citations · 85 across the 9 of their papers we have counts for
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math.AP2016★ 6 cited
Global existence of weak solutions to dissipative transport equations with nonlocal velocity
Hantaek Bae, Rafael Granero-Belinchón, Omar Lazar
We consider 1D dissipative transport equations with nonlocal velocity field: \[ θ_t+uθ_x+δu_{x} θ+Λ^γθ=0, \quad u=\mathcal{N}(θ), \] where is a nonlocal operator give…
math.AP2016
On a 1D nonlocal transport equation with nonlocal velocity and subcritical or supercritical diffusion
Omar Lazar
We study a 1D transport equation with nonlocal velocity with subcritical or supercritical dissipation. For all data in the weighted Sobolev space …