Fluid Dynamics and Continuum Mechanics
[1] (with Amit Acharya, Gui-Qiang G. Chen, Marshall Slemrod and Dehua Wang) Fluids, Elasticity, Geometry, and the Existence of Wrinkled Solutions, Arch. Ration. Mech. Anal. 226 (2017), 1009–1060. [link]
[2] On One-Dimensional Compressible Navier--Stokes Equations for a Reacting Mixture in Unbounded Domains. Z. Angew. Math. Phys., 68 (2017). Art. 106; 24pp. [link]
[3] Dimension Reduction of Compressible Fluid Models over Product Manifolds. J. Diff. Eqns. 266 (2019), 87–113. [link]
[4] On Vortex Alignment and Boundedness of $L^q$ Norm of Vorticity. Arxiv: 1712.00551; to appear in Acta Math. Scientia (2020) 11pp. [link]
[5] Geometric Regularity Criteria for Incompressible Navier--Stokes Equations with Navier Boundary Conditions, Nonlinear Anal. 188 (2019), 202--235. [link]
[6] (with Marshall Slemrod) From the Nash--Kuiper Theorem to the Euler Equations of Fluid Dynamics, ArXiv: 1811.01505. [link]
[7] (with Jiahong Wu and Kun Zhao) On the Degenerate Boussinesq Equations on Surfaces, J. Geom. Mech. 12 (1), 2020, 107--140.[link]
[8] Regularity of Desingularized Models for Vortex Filaments in Incompressible Viscous Flows: A Geometrical Approach, to appear in Q. Jl Mech. Appl. Math. (2020) [paper] *Dedicated to Prof. Bob Hardt's; In honour of his retirement.