1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AP2022★ 1 cited
Conserved energies for the one dimensional Gross-Pitaevskii equation: low regularity case
Herbert Koch, Xian Liao
We construct a family of conserved energies for the one dimensional Gross-Pitaevskii equation, but in the low regularity case (in \cite{KL} we have constructed conserved energies i…
math.AP2021★ 1 cited
On variable viscosity and enhanced dissipation
Xian Liao, Christian Zillinger
In this article we consider the 2D Navier-Stokes equations with variable viscosity depending on the vertical position. As our main result we establish linear enhanced dissipation n…
math.AP2019
Nonlinear estimates for traveling wave solutions of reaction diffusion equations
Li-Chang Hung, Xian Liao
In this paper we will establish nonlinear a priori lower and upper bounds for the solutions to a large class of equations which arise from the study of traveling wave solutions of…