146 citations · 348 across the 25 of their papers we have counts for
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math.AP2021★ 18 cited
On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility
Simone Fagioli, Oliver Tse
We prove the well-posedness of entropy solutions for a wide class of nonlocal transport equations with nonlinear mobility in one spatial dimension. The solution is obtained as the…
math.DS2021★ 16 cited
Controlled pattern formation of stochastic Cucker-Smale systems with network structures
Young-Pil Choi, Doeun Oh, Oliver Tse
We present a new stochastic particle system on networks which describes the flocking behavior and pattern formation. More precisely, we consider Cucker-Smale particles with decentr…