59 citations · 152 across the 16 of their papers we have counts for
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math.AP2022★ 6 cited
On self-similar finite-time blowups of the De Gregorio model on the real line
De Huang, Jiajun Tong, Dongyi Wei
We show that the De Gregorio model on the real line admits infinitely many compactly supported, self-similar solutions that are distinct under rescaling and will blow up in finite…
math.AP2022
Global Solutions to the Tangential Peskin Problem in 2-D
Jiajun Tong
We introduce the tangential Peskin problem in 2-D, which is a scalar drift-diffusion equation with a nonlocal drift. It is derived with a new Eulerian perspective from a special se…
math.AP2022★ 1 cited
Tumor Growth with Nutrients: Regularity and Stability
Matt Jacobs, Inwon Kim, Jiajun Tong
In this paper we study a tumor growth model with nutrients. The model presents dynamic patch solutions due to the contact inhibition among the tumor cells. We show that when the nu…