Tampere University of Technology

TUTCRIS Research Portal

On polynomial stability of coupled partial differential equations in 1d

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

Details

Original languageEnglish
Title of host publicationSemigroups of Operators – Theory and Applications - SOTA 2018
EditorsJacek Banasiak, Jacek Banasiak, Adam Bobrowski, Miroslaw Lachowicz, Yuri Tomilov
PublisherSpringer
Pages349-362
Number of pages14
ISBN (Print)9783030460785
DOIs
Publication statusPublished - 2020
Publication typeA4 Article in a conference publication
EventSemigroups of Operators: Theory and Applications Conference - Kazimierz Dolny, Poland
Duration: 30 Sep 20185 Oct 2018

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume325
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceSemigroups of Operators: Theory and Applications Conference
CountryPoland
CityKazimierz Dolny
Period30/09/185/10/18

Abstract

We study the well-posedness and asymptotic behaviour of selected PDE–PDE and PDE–ODE systems on one-dimensional spatial domains, namely a boundary coupled wave–heat system and a wave equation with a dynamic boundary condition. We prove well-posedness of the models and derive rational decay rates for the energy using an approach where the coupled systems are formulated as feedback interconnections of impedance passive regular linear systems.

ASJC Scopus subject areas

Keywords

  • Coupled PDE system, Feedback, Polynomial stability, Strongly continuous semigroup, Systems theory, Wave equation

Publication forum classification

Field of science, Statistics Finland