Phuoc-Tai Nguyen

activity

20222025

most citedQuantitative bounds for bounded solutions to the Navier-Stokes equations in endpoint critical Besov spaces

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2025

Elliptic Schrödinger equations with gradient-dependent nonlinearity and Hardy potential singular on manifolds

Konstantinos T. Gkikas, Phuoc-Tai Nguyen

Let $Ω \subset R^{N}$ ( $N \geq 3$ ) be a $C^{2}$ bounded domain and $Σ \subset Ω$ is a $C^{2}$ compact boundaryless submanifold in $R^{N}$ of dimension $k$ , $0 \leq k < N - 2$ .…

math.AP2024★ 1 cited

Quantitative bounds for bounded solutions to the Navier-Stokes equations in endpoint critical Besov spaces

Ruilin Hu, Phuoc-Tai Nguyen, Quoc-Hung Nguyen +1

Building on Tao's quantitative regularity theory and triple-logarithmic blow-up estimate in $L^{3}$ in \cite{Tao_20}, we consider classical solutions $(u, P)$ of the three-dimensional…

math.AP2022

Poisson Problems involving fractional Hardy operators and measures

H. Chen, K. T. Gkikas, P. T. Nguyen

In this paper, we study the Poisson problem involving a fractional Hardy operator and a measure source. The complex interplay between the nonlocal nature of the operator, the pecul…