21 citations · 26 across the 10 of their papers we have counts for
24 papers
Universal potential estimates for
Quoc-Hung Nguyen, Nguyen Cong Phuc
We extend the so-called universal potential estimates of the Kuusi-Mingione type (J.Funct. Anal. 2012) to the singular case for the quasilinear equation with measur…
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…
Gradient flows of modified Wasserstein distances and porous medium equations with nonlocal pressure
Nhan-Phu Chung, Quoc-Hung Nguyen
We study families of porous medium equation with nonlocal pressure. We construct their weak solutions via JKO schemes for modified Wasserstein distances. We also establish the regu…
Global Calderón--Zygmund theory for parabolic -Laplacian system: the case
Ke Chen, Quoc-Hung Nguyen, Na Zhao
The aim of this paper is to establish global Calderón--Zygmund theory to parabolic -Laplacian system: $$ u_t -\operatorname{div}(|\nabla u|^{p-2}\nabla u) = \operatorname{div} (…
Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem
Thomas Alazard, Quoc-Hung Nguyen
We exhibit a new decomposition of the nonlinearity for the Muskat equation and use it to commute Fourier multipliers with the equation. This allows to study solutions with critical…
Endpoint Sobolev theory for the Muskat equation
Thomas Alazard, Quoc-Hung Nguyen
This paper is devoted to the study of solutions with critical regularity for the two-dimensional Muskat equation. We prove that the Cauchy problem is well-posed on the endpoint Sob…