115 citations · 240 across the 21 of their papers we have counts for
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math.AP2015★ 115 cited
Suppression of chemotactic explosion by mixing
Alexander Kiselev, Xiaoqian Xu
Chemotaxis plays a crucial role in a variety of processes in biology and ecology. In many instances, processes involving chemical attraction take place in fluids. One of the most s…
math.AP2015★ 3 cited
One-dimensional model equations for hyperbolic fluid flow
Tam Do, Vu Hoang, Maria Radosz +1
In this paper we study the singularity formation for two nonlocal 1D active scalar equations, focusing on the hyperbolic flow scenario. Those 1D equations can be regarded as simpli…
math.NA2015★ 1 cited
A locally gradient-preserving reinitialization for level set functions
Lei Li, Xiaoqian Xu, Saverio E. Spagnolie
The level set method commonly requires a reinitialization of the level set function due to interface motion and deformation. We extend the traditional technique for reinitializing…