336 citations · 1.5k across the 38 of their papers we have counts for
4 papers · 1 filter
Are extreme dissipation events predictable in turbulent fluid flows?
Patrick J. Blonigan, Mohammad Farazmand, Themistoklis P. Sapsis
We derive precursors of extreme dissipation events in a turbulent channel flow. Using a recently developed method that combines dynamics and statistics for the underlying attractor…
Variational Lagrangian formulation of the Euler equations for incompressible flow: A simple derivation
Mohammad Farazmand, Mattia Serra
In 1966, Arnold [1] showed that the Lagrangian flow of ideal incompressible fluids (described by Euler equations) coincide with the geodesic flow on the manifold of volume preservi…
Multiscale analysis of accelerated gradient methods
Mohammad Farazmand
Accelerated gradient descent iterations are widely used in optimization. It is known that, in the continuous-time limit, these iterations converge to a second-order differential eq…
Extreme Events: Mechanisms and Prediction
Mohammad Farazmand, Themistoklis P. Sapsis
Extreme events, such as rogue waves, earthquakes and stock market crashes, occur spontaneously in many dynamical systems. Because of their usually adverse consequences, quantificat…