Xian Liao

collaborators

3 papers

math.AP2025

Global well-posedness of the NLS hierarchy with nonzero boundary condition

Xian Liao, Robert Wegner

We consider the NLS hierarchy with the nonzero boundary condition $q (t, x) \to q_{\pm} \in S^{1}$ as $x \to \pm \infty$ and prove that it is global well-posedn…

math.AP2024

Global-in-time well-posedness for the two-dimensional incompressible Navier-Stokes equations with freely transported viscosity coefficient

Xian Liao, Rebekka Zimmermann

We establish the global-in-time well-posedness of the two-dimensional incompressible Navier-Stokes equations with freely transported viscosity coefficient, under a scaling-invarian…

math.AP2024

Global-in-time well-posedness of the compressible Navier-Stokes equations with striated density

Xian Liao, Sagbo Marcel Zodji

We first show local-in-time well-posedness of the compressible Navier-Stokes equations, assuming striated regularity while no other smoothness or smallness conditions on the initia…