Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings
2024
Abstract
We study the global well-posedness and asymptotic behavior for a semilinear damped wave equation with Neumann boundary conditions, modeling a one-dimensional linearly elastic body interacting with a rigid substrate through an adhesive material. The key feature of of the problem is that the interplay between the nonlinear force and the boundary conditions allows for a continuous set of equilibrium points. We prove an exponential rate of convergence for the solution towards a (uniquely determined) equilibrium point.
Details
Title
Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings
Author(s)
Coclite, Giuseppe Maria ; De Nitti, Nicola ; Maddalena, Francesco ; Orlando, Gianluca ; Zuazua, Enrique
Published in
Mathematical Models & Methods In Applied Sciences
Date
2024-04-20
Publisher
Singapore, World Scientific Publ Co Pte Ltd
ISSN
0218-2025
1793-6314
1793-6314
Other identifier(s)
View record in Web of Science
Laboratories
AMCV
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > AMCV - Chair of Mathematical Analysis, Calculus of Variations and PDEs
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Grant
Italian Ministry of University and Research under the Programme "Department of Excellence": CUP D93C23000100001
INdAM-GNAMPA 2023 Project: CUP E53C22001930001
Research Project of National Relevance - Italian Ministry of Education, University and Research(MIUR PRIN): 2022M9BKBC
National Recovery and Resilience Plan (NRRP) of Italian Ministry of University and Research - European Union (NextGenerationEU Award): 3138
Swiss State Secretariat for Education, Research and Innovation (SERI): MB22.00034
Research for Innovation (REFIN), POR Puglia FESR FSE: CUP D94I20001410008
Alexander von Humboldt-Professorship program
ModConFlex Marie Curie Action: HORIZON-MSCA-2021-DN-01
COST Action MAT-DYN-NET
Transregio 154 Project of the DFG: PID2020-112617GB-C22
MINECO (Spain): TED2021-131390B-I00
Madrid Goverment - UAM Agreement for the Excellence of the University Research Staff
INdAM-GNAMPA 2023 Project: CUP E53C22001930001
Research Project of National Relevance - Italian Ministry of Education, University and Research(MIUR PRIN): 2022M9BKBC
National Recovery and Resilience Plan (NRRP) of Italian Ministry of University and Research - European Union (NextGenerationEU Award): 3138
Swiss State Secretariat for Education, Research and Innovation (SERI): MB22.00034
Research for Innovation (REFIN), POR Puglia FESR FSE: CUP D94I20001410008
Alexander von Humboldt-Professorship program
ModConFlex Marie Curie Action: HORIZON-MSCA-2021-DN-01
COST Action MAT-DYN-NET
Transregio 154 Project of the DFG: PID2020-112617GB-C22
MINECO (Spain): TED2021-131390B-I00
Madrid Goverment - UAM Agreement for the Excellence of the University Research Staff
Record creation date
2024-05-01