3 papers
math.AP2026
Failure of analyticity-radius growth in energy-canceling fluid models
Ke Chen, Haina Li, Quoc-Hung Nguyen +1
We prove that exact quadratic energy cancellation alone does not force growth of the spatial analyticity radius. On , we construct an explicit symmetric, translation-…
math.AP2025
Global smooth solutions to Navier-Stokes equations with large initial data in critical space
Haina Li, Yiran Xu
In this paper, we investigate the existence of a unique global smooth solution to the three-dimensional incompressible Navier-Stokes equations and provide a concise proof. We estab…
math.AP2025
Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation
Haina Li, Yiran Xu
In this paper, we investigate the fundamental solution of the fractional Fokker-Planck equation. Utilizing the Littlewood-Paley decomposition technology, we present a concise proof…