3 papers
math.AP2025
On the stability of symmetric flows in a two-dimensional channel
Yaniv Almog, Bernard Helffer
We consider the stability of symmetric flows in a two-dimensional channel (including the Poiseuille flow). In 2015 Grenier, Guo, and Nguyen have established instability of these fl…
math.AP2025
Stability of laminar monotone shear flows in a channel for high Reynolds number
Yaniv Almog, Bernard Helffer
We consider the stability of a laminar flow in the two-dimensional channel in the large Reynolds number limit. Assuming that is str…
math-ph2024
Minimization of the discrete interaction energy with smooth potentials
Yaniv Almog
We study the pair interaction on flat tori of functions whose Fourier coefficients are positive and decay sufficiently rapidly. In dimension one we find that the minimizer, up to t…