159 citations · 177 across the 5 of their papers we have counts for
5 papers
On the Burgers dynamical system with an external force and its Koopman decomposition
Mikhael Balabane
We prove that the Burgers flow with a steady external forcing has a unique steady state which is a sink. Although this flow cannot be linearized through Cole-Hopf transforms, we pr…
On Koopman Operator for Burgers' Equation
Mikhael Balabane, Miguel A Mendez, Sara Najem
We consider the flow of Burgers' equation on an open set of (small) functions in . We derive explicitly the Koopman decomposition of the Burgers' flow. We identify the…
Dynamics of the Jet Wiping Process via Integral Models
M. A. Mendez, A. Gosset, B. Scheid +2
The jet wiping process is a cost-effective coating technique that uses impinging gas jets to control the thickness of a liquid layer dragged along a moving strip. This process is f…
Multi-Scale Proper Orthogonal Decomposition of Complex Fluid Flows
M. A. Mendez, M. Balabane, J. -M. Buchlin
Data-driven decompositions are becoming essential tools in fluid dynamics, allowing for tracking the evolution of coherent patterns in large datasets, and for constructing low orde…
Functional Analysis for Helmholtz Equation in the Framework of Domain Decomposition
Mikhael Balabane
This paper gives a geometric description of functional spaces related to Domain Decomposition techniques for computing solutions of Laplace and Helmholtz equations. Understanding t…