Publications related to Exploiting Marginal Stability in Slow-Fast Quasilinear Dynamical Systems

The time-domain Cartesian multipole expansion of electromagnetic fields

Marcos Rubinstein, Farhad Rachidi-Haeri, Elias Per Joachim Le Boudec, Chaouki Kasmi, Nicolas Mora Parra, Emanuela Radici

Time-domain solutions of Maxwell’s equations in homogeneous and isotropic media are paramount to studying transient or broadband phenomena. However, analytical solutions are generally unavailable for practical applications, while numerical solutions are co ...

2024

Weakly nonlinear versus semi-linear models of the nonlinear evolution of the centrifugal instability

François Gallaire, Eunok Yim

We carry out a weakly nonlinear analysis of the centrifugal instability for a columnar vortex in a rotating fluid, and compare the results to those of the semi-linear model derived empirically by Yim et al. (J. Fluid Mech., vol. 897, 2020, A34). The asympt ...

CAMBRIDGE UNIV PRESS2023

Novel corrector problems with exponential decay of the resonance error for numerical homogenization

Edoardo Paganoni

Multiscale problems, such as modelling flows through porous media or predicting the mechanical properties of composite materials, are of great interest in many scientific areas. Analytical models describing these phenomena are rarely available, and one mus ...

EPFL2020

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

Maryam Kamgarpour, Luca Furieri, Na Li

It is known that the set of internally stabilizing controller

\mathcal{C}_{\text{stab}}

is non-convex, but it admits convex characterizations using certain closed-loop maps: a classical result is the {Youla parameterization}, and two recent notions are t ...

2020

Feedback Control Design Maximizing the Region of Attraction of Stochastic Systems Using Polynomial Chaos Expansion

Petr Listov

A feedback control design is proposed for stochastic systems with finite second moment which aims at maximising the region of attraction of the equilibrium point. Polynomial Chaos (PC) expansions are employed to represent the stochastic closed loop system ...

2020

Revisiting Archard's wear model: a dialog between scales

Jean-François Molinari

We discuss recent advances in developing a fundamental, mechanistic, understanding of the evolution of surface roughness of solids during dry sliding. The time evolution of surface roughness is little understood although it crucially impacts friction and w ...

2020

An Equation-Free Approach For Second Order Multiscale Hyperbolic Problems In Non-Divergence Form

Doghonay Arjmand

The present study concerns the numerical homogenization of second order hyperbolic equations in non-divergence form, where the model problem includes a rapidly oscillating coefficient function. These small scales influence the large scale behavior, hence t ...

INT PRESS BOSTON, INC2018

Propagation of peeling in finite adhesive pads

Ismail Honsali

Adhesive pads are commonly used in both natural and engineering systems. A recent study [Cohen et al. Soft Matter 2018] has shown that the failure of finite pads, subjected to loading parallel to the substrate, can be triggered by different mechanisms; int ...

2018

Effective models and numerical homogenization methods for long time wave propagation in heterogeneous media

Timothée Noé Pouchon

Modeling wave propagation in highly heterogeneous media is of prime importance in engineering applications of diverse nature such as seismic inversion, medical imaging or the design of composite materials. The numerical approximation of such multiscale phy ...

EPFL2017

Modelling of plasmonic systems

Raziman Thottungal Valapu

Metallic nanostructures interact in complex ways with light, forming the subject of plasmonics and bringing novel physical phenomena and practical applications. The fundamental and practical importance of plasmonics necessitates the development of a multit ...

EPFL2016

Exploiting Marginal Stability in Slow-Fast Quasilinear Dynamical Systems

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The time-domain Cartesian multipole expansion of electromagnetic fields

Weakly nonlinear versus semi-linear models of the nonlinear evolution of the centrifugal instability

Novel corrector problems with exponential decay of the resonance error for numerical homogenization

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

Feedback Control Design Maximizing the Region of Attraction of Stochastic Systems Using Polynomial Chaos Expansion

Revisiting Archard's wear model: a dialog between scales

An Equation-Free Approach For Second Order Multiscale Hyperbolic Problems In Non-Divergence Form

Propagation of peeling in finite adhesive pads

Effective models and numerical homogenization methods for long time wave propagation in heterogeneous media

Modelling of plasmonic systems

The time-domain Cartesian multipole expansion of electromagnetic fields

System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

Propagation of peeling in finite adhesive pads

Novel corrector problems with exponential decay of the resonance error for numerical homogenization

Weakly nonlinear versus semi-linear models of the nonlinear evolution of the centrifugal instability

Modelling of plasmonic systems

An Equation-Free Approach For Second Order Multiscale Hyperbolic Problems In Non-Divergence Form

Feedback Control Design Maximizing the Region of Attraction of Stochastic Systems Using Polynomial Chaos Expansion

Revisiting Archard's wear model: a dialog between scales

Effective models and numerical homogenization methods for long time wave propagation in heterogeneous media