129 citations · 228 across the 8 of their papers we have counts for
8 papers
Physics-informed data-driven inference of an interpretable equivariant LES model of two-dimensional incompressible fluid turbulence
Matteo Ugliotti, Brandon Choi, Mateo Reynoso +2
Restrictive phenomenological assumptions limit the accuracy and generality of subgrid-scale models of fluid turbulence, especially in flows where coherent structures and bidirectio…
Data-driven modeling of multiscale phenomena with applications to fluid turbulence
Brandon Choi, Matteo Ugliotti, Mateo Reynoso +2
This paper introduces a novel data driven framework for constructing accurate and general equivariant models of multiscale phenomena which does not rely on specific assumptions abo…
Optimal Control with Learning on the Fly: System with Unknown Drift
Daniel Gurevich, Debdipta Goswami, Charles L. Fefferman +1
This paper derives an optimal control strategy for a simple stochastic dynamical system with constant drift and an additive control input. Motivated by the example of a physical sy…
Learning fluid physics from highly turbulent data using sparse physics-informed discovery of empirical relations (SPIDER)
Daniel R. Gurevich, Matthew R. Golden, Patrick A. K. Reinbold +1
We show how a complete mathematical description of a complicated physical phenomenon can be learned from observational data via a hybrid approach combining three simple and general…
Using Noisy or Incomplete Data to Discover Models of Spatiotemporal Dynamics
Patrick A. K. Reinbold, Daniel R. Gurevich, Roman O. Grigoriev
Sparse regression has recently emerged as an attractive approach for discovering models of spatiotemporally complex dynamics directly from data. In many instances, such models are…
Robust and optimal sparse regression for nonlinear PDE models
Daniel R. Gurevich, Patrick A. K. Reinbold, Roman O. Grigoriev
This paper investigates how models of spatiotemporal dynamics in the form of nonlinear partial differential equations can be identified directly from noisy data using a combination…
Robust Approach for Rotor Mapping in Cardiac Tissue
Daniel R. Gurevich, Roman O. Grigoriev
The motion of and interaction between phase singularities that anchor spiral waves captures many qualitative and, in some cases, quantitative features of complex dynamics in excita…
Streamwise localization of traveling wave solutions in channel flow
Joshua Barnett, Daniel R. Gurevich, Roman O. Grigoriev
Channel flow of an incompressible fluid at Reynolds numbers above 2400 possesses a number of different spatially localized solutions that approach laminar flow far upstream and dow…