Suppression of chemotactic explosion by mixing A Kiselev, X Xu
Archive for Rational Mechanics and Analysis 222, 1077-1112, 2016
112 2016 Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows G Iyer, A Kiselev, X Xu
Nonlinearity 27 (5), 973, 2014
80 2014 Convection-induced singularity suppression in the Keller-Segel and other non-linear PDEs G Iyer, X Xu, A Zlatoš
Transactions of the American Mathematical Society 374 (9), 6039-6058, 2021
47 2021 Continuous and discrete one dimensional autonomous fractional ODEs Y Feng, L Li, J Liu, X Xu
https://arxiv.org/abs/1703.02636, 2017
32 2017 Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow X Xu
Journal of Mathematical Analysis and Applications 439 (2), 594-607, 2016
30 2016 Stability of blowup for a 1D model of axisymmetric 3D Euler equation T Do, A Kiselev, X Xu
Journal of Nonlinear Science 28, 2127-2152, 2018
9 2018 A note on one-dimensional time fractional ODEs Y Feng, L Li, JG Liu, X Xu
Applied Mathematics Letters 83, 87-94, 2018
9 2018 Suppression of epitaxial thin film growth by mixing Y Feng, B Hu, X Xu
Journal of Differential Equations 317, 561-602, 2022
8 2022 One-dimensional model equations for hyperbolic fluid flow T Do, V Hoang, M Radosz, X Xu
Nonlinear Analysis 140, 1-11, 2016
7 2016 Tumor boundary instability induced by nutrient consumption and supply Y Feng, M Tang, X Xu, Z Zhou
Zeitschrift für angewandte Mathematik und Physik 74 (3), 107, 2023
6 2023 Suppression of blow-up in Patlak-Keller-Segel-Navier-Stokes system via the Poiseuille flow H Li, Z Xiang, X Xu
arXiv preprint arXiv:2312.01069, 2023
3 2023 A locally gradient-preserving reinitialization for level set functions L Li, X Xu, SE Spagnolie
Journal of Scientific Computing 71, 274-302, 2017
3 2017 Global existence of a non-local semilinear parabolic equation with advection and applications to shear flow Y Feng, B Hu, X Xu, Y Zhang
arXiv preprint arXiv:2107.05081, 2021
2 2021 Dissipation enhancement by mixing for evolution p–Laplacian advection equations Y Feng, B Hu, X Xu
arXiv preprint arXiv:2104.12578, 2021
2 2021 Dissipation enhancement for a degenerated parabolic equation Y Feng, B Hu, X Xu
arXiv preprint arXiv:2104.12578, 2021
1 2021 Design for triangular rational Bezier harmonic and biharmonic surfaces S Li, XQ Xu, GJ Wang
Journal of Zhejiang University(Science Edition) 39 (2), 2012
1 2012 A Three-dimensional tumor growth model and its boundary instability JG Liu, T Witelski, X Xu, J Zhang
arXiv preprint arXiv:2401.04954, 2024
2024 Existence of weak solutions to -Navier-Stokes equations Y Feng, L Li, JG Liu, X Xu
arXiv preprint arXiv:2302.09223, 2023
2023 Dissipation enhancement of cellular flows in general advection diffusion equations Y Feng, X Xu
arXiv preprint arXiv:2210.16801, 2022
2022 Singularities and mixing in fluid mechanics X Xu
The University of Wisconsin-Madison, 2016
2016