Stuart is known for his work on
nonlinear waves in the onset of
turbulence in
fluids. He also extended the work of
Lord Rayleigh with research into steady streaming in unsteady
viscous flows at high
Reynolds numbers. • 1978: (with
R. C. Diprima) "The Eckhaus and Benjamin-Feir Resonance Mechanisms",
Proceedings of the Royal Society A 362: 27, issue 1708, • 1986: "Taylor-Vortex Flow: A Dynamical System",
SIAM Review 28(3):315 342, , • 1995: (with M.R. Dhanak) "Distortion of the stagnation-point flow due to cross-stream vorticity in the external flow",
Philosophical Transactions of the Royal Society A 352: 443, issue 1700, • 1996: "Evolution of vorticity in perturbed flow in a pipe", Experimental Thermal and Fluid Science 13(3): 206 to 210, • 1997: "The quarterly journal of mechanics and applied mathematics 1947 to 1997",
The Quarterly Journal of Mechanics and Applied Mathematics 50(4):497,8 • 1998: "Singularities in three-dimensional Compressible Euler flows with vorticity",
Theoretical and Computational Fluid Dynamics 10: 385–91, • 2006: (with P.M.Eagles & R.C. Diprima) "The effects of eccentricity on torque and load in Taylor-vortex flow",
Journal of Fluid Mechanics 87(2): 209 ==Awards==