Ke Chen

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20182021

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math.AP2022

Global well-posedness of the 1d compressible Navier-Stokes system with rough data

Ke Chen, Ly Kim Ha, Ruilin Hu +1

In this paper, we study the global well-posedness problem for the 1d compressible Navier-Stokers system (cNSE) in gas dynamics with rough initial data. Frist, Liu- Yu (2022) establ…

math.AP2021

Global Calderón--Zygmund theory for parabolic $p$ -Laplacian system: the case $1 < p \leq \frac{2 n}{n + 2}$

Ke Chen, Quoc-Hung Nguyen, Na Zhao

The aim of this paper is to establish global Calderón--Zygmund theory to parabolic $p$ -Laplacian system: $$ u_t -\operatorname{div}(|\nabla u|^{p-2}\nabla u) = \operatorname{div} (…

Global well-posedness of the 1d compressible Navier-Stokes system with rough data

Global Calderón--Zygmund theory for parabolic p-Laplacian system: the case 1<p≤n+22n​

Global Calderón--Zygmund theory for parabolic $p$ -Laplacian system: the case $1 < p \leq \frac{2 n}{n + 2}$