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math.AP2021
Existence of solutions to the Poisson--Nernst--Planck system with singular permanent charges in
Chia-Yu Hsieh, Yong Yu
In this paper, we study the well-posedness of Poisson-Nernst-Planck system with no-flux boundary condition and singular permanent charges in two dimension. The main difficulty come…
math.AP2020
Long-time dynamics of classical Patlak-Keller-Segel equation
Chia-Yu Hsieh, Yong Yu
When the spatial dimension , it has been well-known that a global mild solution to classical Patlak-Keller-Segel equation (PKS equation for short) exists if and only if its i…
math.AP2019
Disclinations in limiting Landau-de Gennes theory
Yong Yu
In this article we study the low-temperature limit of a Landau-de Gennes theory. Within all S2-valued R-axially symmetric maps (see Definition 1.1), the limiting energy functional…