4 papers
Neutral curves and traveling waves in plane Poiseuille flow
Hui Li, Yuxi Wang, Zhifei Zhang
We study the spectrum of the Orr--Sommerfeld operator associated with the incompressible plane Poiseuille flow in the high-Reynolds-number regime. In the Tollmien--Schlichting eige…
Instability of shear flows with neutral embedded eigenvalues
Hui Li, Siqi Ren, Yuxi Wang +1
We study the linear stability of a class of monotone shear flows. When the associated Rayleigh operator possesses a neutral embedded eigenvalue, we show that solutions of the linea…
The incompressible von Kármán theory for thin prestrained plates
Hui Li
We derive a new version of the von Kármán energy and the corresponding Euler-Langrange equations, in the context of thin prestrained plates, under the condition of incompressibilit…
On the Föppl-von Kármán theory for elastic prestrained films with varying thickness
Hui Li
We derive the variational limiting theory of thin films, parallel to the Föppl-von Kármán theory in the nonlinear elasticity, for films that have been prestrained and whose thickne…