2023
From the Nash--Kuiper theorem of isometric embeddings to the Euler equations for steady fluid motions: analogues, examples, and extensions
with M. Slemrod
J. Math. Phys. 64 (2023), No. 011511. [link]
2022
On analysis of the exponential map of volume-preserving diffeomorphism group on closed orientable surfaces through the vorticity
submitted to J. Funct. Anal. (2022), ArXiv Preprint: 2204.09497. [link]
A remark on stress of a spatially uniform dislocation density field
accepted by J. Elasticity (2022), ArXiv preprint: 2003.08065. [link]
On asymptotic rigidity and continuity problems in nonlinear elasticity
with G.-Q. Chen and M. Slemrod
J. Math. Pures Appl. (9) 160 (2022), 29--53. [link]
2020
On vortex alignment and boundedness of L^q-norm of vorticity in incompressible viscous fluids
Acta Math. Scientia, 40 (2020) 1700--1708. [link]
Regularity of desingularised models for vortex filaments in incompressible viscous flows: a geometrical approach
Quart. Jl. Mech. Appl. Math. 73 (2020), 217--230. [link]
*Dedicated to Prof. Bob Hardt's; In honour of his retirement.
On the degenerate Boussinesq equations on surfaces
with J. Wu, and K. Zhao
J. Geom. Mech. 12 (2020), 107--140. [link]
2019
Geometric regularity criteria for incompressible Navier--Stokes equations with Navier boundary conditions
Nonlinear Anal. 188 (2019), 202--235. [link]
Dimension reduction of compressible fluid models over product domains
J. Diff. Eqs. 266 (2019), 87--113. [link]
2017
On one-dimensional compressible Navier--Stokes equations for a reacting mixture in unbounded domains
Z. Angew. Math. Phys. 68 (2017), 106--127. [link]
Fluids, elasticity, geometry, and the existence of wrinkled solutions
(with Amit Acharya, Gui-Qiang G. Chen, Marshall Slemrod and Dehua Wang)
Arch. Ration. Mech. Anal. 226 (2017), 1009--1060. [link]