Concept
Resolvent set
Publications associées (5)
Weak nonlinearity for strong non-normality
François Gallaire, Edouard Boujo, Yves-Marie François Ducimetière
We propose a theoretical approach to derive amplitude equations governing the weakly nonlinear evolution of non-normal dynamical systems, when they experience transient growth or respond to harmonic forcing. This approach reconciles the non-modal nature of ...
2022Frequency selection in a gravitationally stretched capillary jet in the jetting regime
François Gallaire, Isha Shukla
A capillary jet falling under the effect of gravity continuously stretches while thinning downstream. We report here the effect of external periodic forcing on such a spatially varying jet in the jetting regime. Surprisingly, the optimal forcing frequency ...
CAMBRIDGE UNIV PRESS2020Self-consistent triple decomposition of the turbulent flow over a backward-facing step under finite amplitude harmonic forcing
François Gallaire, Eunok Yim, Philippe Meliga
We investigate the saturation of harmonically forced disturbances in the turbulent flow over a backward-facing step subjected to a finite amplitude forcing. The analysis relies on a triple decomposition of the unsteady flow into mean, coherent and incohere ...
ROYAL SOC2019On spectral pollution in the finite element approximation of thin elastic ''membrane'' shells
The bending terms in a shell are small with respect to membrane ones as the thickness tends to zero. Consequently, the membrane approximation gives a good description of vibration properties of a thin shell. This vibration problem is associated with a non- ...
1997Finite parts of the spectrum of a Riemann surface
Let S and be compact Riemann surfaces of the same genus g (g endowed with the Poincaré metric of constant negative curvature -1. par The authors show that for every , there exists an integer with the property: Assum ...
1990