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math.AP2021
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…
math.AP2009
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…