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A Webster-Lokshin model for waves with viscothermal losses and impedance boundary conditions: strong solutions

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Titre

A Webster-Lokshin model for waves with viscothermal losses and impedance boundary conditions: strong solutions
 

Nom(s)

Haddar, Houssem (auteur)
 
Helie, Thomas (auteur)
 
Matignon, Denis (auteur)
 

Publication

Jyvaskyla, Finland , 2003
 

Description

Résumé

Acoustic waves travelling in a duct with viscothermal losses at the wall and radiating conditions at both ends obey a Webster-Lokshin model that involves fractional time-derivatives in the domain and dynamical boundary conditions. This system can be interpreted as the coupling of three subsystems: a wave equation, a diffusive realization of the pseudo-differential time-operator and a dissipative realization of the impedance, thanks to the Kalman-Yakubovich-Popov lemma. Existence and uniqueness of strong solutions of the system are proved, using the Hille Yosida theorem.
 

Note(s)

Contribution au colloque ou congrès : Waves - International Conference on Mathematical and Numerical Aspects of Wave Propagation Phenomena (INRIA)
 

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Date de la notice

2010-02-25 01:00:00
 

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