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Displaying similar documents to “On the asymptotic stability of solutions of functional-differential equations”

Asymptotic Stability of Zakharov-Kuznetsov solitons

Didier Pilod (2014-2015)

Séminaire Laurent Schwartz — EDP et applications

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In this report, we review the proof of the asymptotic stability of the Zakharov-Kuznetsov solitons in dimension two. Those results were recently obtained in a joint work with Raphaël Côte, Claudio Muñoz and Gideon Simpson.

Asymptotic stability of linear conservative systems when coupled with diffusive systems

Denis Matignon, Christophe Prieur (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we study linear conservative systems of finite dimension coupled with an infinite dimensional system of diffusive type. Computing the time-derivative of an appropriate energy functional along the solutions helps us to prove the well-posedness of the system and a stability property. But in order to prove asymptotic stability we need to apply a sufficient spectral condition. We also illustrate the sharpness of this condition by exhibiting some systems for which we do not...

Around certain critical cases in stability studies in hydraulic engineering

Vladimir Răsvan (2023)

Archivum Mathematicum

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It is considered the mathematical model of a benchmark hydroelectric power plant containing a water reservoir (lake), two water conduits (the tunnel and the turbine penstock), the surge tank and the hydraulic turbine; all distributed (Darcy-Weisbach) and local hydraulic losses are neglected,the only energy dissipator remains the throttling of the surge tank. Exponential stability would require asymptotic stability of the difference operator associated to the model. However in this case...

Orlicz type category theorems for functional and differential equations

Józef Myjak

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CONTENTSIntroduction.....................................................................................................................................5  1. General results.........................................................................................................................7  1.1. Residual sets.........................................................................................................................7  1.2. Generic properties of abstract functional equations..............................................................8II....