83 citations · 88 across the 3 of their papers we have counts for
3 papers
math.OC2017★ 5 cited
Symplectic Geometry of Constrained Optimization
A. Agrachev, I. Beschastnyi
These are the notes of rather informal lectures given by the first co-author in UPMC, Paris, in January 2017. Practical goal is to explain how to compute or estimate the Morse inde…
math.OC2007
Solid Controllability in Fluid Dynamics
Andrey A. Agrachev, Andrey V. Sarychev
We survey results of recent activity towards studying controllability and accessibility issues for equations of dynamics of incompressible fluids controlled by low-dimensional or,…
math.OC2005★ 83 cited
Controllability of 2D Euler and Navier-Stokes Equations by Forcing 4 Modes
Andrey Agrachev, Andrey Sarychev
We study controllability issues for the 2D Euler and Navier-Stokes (NS) systems under periodic boundary conditions. These systems describe motion of homogeneous ideal or viscous in…