Publications
T. Do, A. Kiselev, X. Xu, Stability of Blow-up for a 1D model of axisymmetric 3D Euler, to appear in Journal of Nonlinear Science. [arxiv link]
Y Feng, L Li, J Liu, X Xu, A note on one-dimensional time fractional ODEs, to appear in Applied Math Letter.[arxiv link]
Y Feng, L Li, J Liu, X Xu, Continuous and discrete one dimensional autonomous fractional ODEs, Discrete & Continuous Dynamical Systems-B (2017): 603-630. [arxiv link]
L. Li., X. Xu, S. E. Spagnolie, A locally gradient-preserving reinitialization for level set functions, Journal of Scientific Computing 71.1 (2017): 274-302. [arxiv link]
A. Kiselev, X. Xu, Suppression of chemotactic explosion by mixing, Archive for Rational Mechanics and Analysis 222.2 (2016): 1077-1112. [arxiv link]
T. Do, V. Hoang, M. Radosz, X. Xu, One-dimensional model equations for hyperbolic fluid flow, Nonlinear Analysis: Theory, Methods & Applications 140 (2016): 1-11. [arxiv link]
X. Xu, Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow, Journal of Mathematical Analysis and Applications 439.2 (2016): 594-607. [arxiv link].
G. Iyer, A. Kiselev, X. Xu, Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows, Nonlinearity 27 (2014) 973-985 [arxiv link].
S. Li, X. Xu, G. Wang, Design for triangular rational Bézier harmonic and biharmonic surfaces, Journal of Zhejiang University(Science Edition), 2012, 39(2). (Chinese version)
Thesis
Singularities and mixing in fluid mechanics, PhD thesis, 2016.