Publications (11)
A scaling limit from the wave map to the heat flow into
Ning Jiang, Yi-Long Luo, Shaojun Tang +1
In this paper we study a limit connecting a scaled wave map with the heat flow into the unit sphere . We show quantitatively how that the two equations are connected…
Incompressible limit of the Ericksen-Leslie hyperbolic liquid crystal model in compressible flow
Liang Guo, Ning Jiang, Fucai Li +2
Ericksen and Leslie proposed a hydrodynamic model for liquid crystals in the format of conservation laws in the 1960s. Their original model includes inertial and compressibility ef…
Nature's Insight: A Novel Framework and Comprehensive Analysis of Agentic Reasoning Through the Lens of Neuroscience
Zinan Liu, Haoran Li, Jingyi Lu +6
Autonomous AI is no longer a hard-to-reach concept, it enables the agents to move beyond executing tasks to independently addressing complex problems, adapting to change while hand…
Compressible Euler limit from Boltzmann equation with Maxwell reflection boundary condition in half-space
Ning Jiang, Yi-Long Luo, Shaojun Tang
Starting from the local-in-time classical solution to the compressible Euler system with impermeable boundary condition in half-space, by employing the coupled weak viscous layers…
Grad-Caflisch pointwise decay estimates revisited
Ning Jiang, Yi-Long Luo, Shaojun Tang
In the influential paper \cite{Caflish-1980-CPAM} which was the starting point of the employment of Hilbert expansion method to the rigorous justifications of the fluid limits of t…
Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space
Ning Jiang, Yi-Long Luo, Shaojun Tang
In this paper, we prove the compressible Euler limit from the Boltzmann equation with hard sphere collisional kernel and complete diffusive boundary condition in half-space by empl…