Well-posedness and exponential stability for the von karman systems with second sound

D. Hanni; A. Djebabla; N. Tatar

doi:10.32523/2306-6172-2019-7-4-52-65

Well-posedness and exponential stability for the von karman systems with second sound

D. Hanni, A. Djebabla, N. Tatar

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this work we consider a one-dimensional full von Karman system coupled to a heat equation modeling an expectedly dissipative effect through heat conduction controlled by Cattaneo's law. We prove the well-posedness as well as an exponential stability result of the system.

Original language	English
Pages (from-to)	52-65
Number of pages	14
Journal	Eurasian Journal of Mathematical and Computer Applications
Volume	7
Issue number	4
DOIs	https://doi.org/10.32523/2306-6172-2019-7-4-52-65
State	Published - 2019

Bibliographical note

Publisher Copyright:
© 2019 L.N. Gumilyov Eurasian National University.

Keywords

Full von kármán beam
Second sound
Stability

ASJC Scopus subject areas

Information Systems
Modeling and Simulation
Mathematical Physics
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.32523/2306-6172-2019-7-4-52-65

Cite this

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title = "Well-posedness and exponential stability for the von karman systems with second sound",

abstract = "In this work we consider a one-dimensional full von Karman system coupled to a heat equation modeling an expectedly dissipative effect through heat conduction controlled by Cattaneo's law. We prove the well-posedness as well as an exponential stability result of the system.",

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T1 - Well-posedness and exponential stability for the von karman systems with second sound

AU - Hanni, D.

AU - Djebabla, A.

AU - Tatar, N.

PY - 2019

Y1 - 2019

N2 - In this work we consider a one-dimensional full von Karman system coupled to a heat equation modeling an expectedly dissipative effect through heat conduction controlled by Cattaneo's law. We prove the well-posedness as well as an exponential stability result of the system.

AB - In this work we consider a one-dimensional full von Karman system coupled to a heat equation modeling an expectedly dissipative effect through heat conduction controlled by Cattaneo's law. We prove the well-posedness as well as an exponential stability result of the system.

KW - Full von kármán beam

KW - Second sound

KW - Stability

UR - https://www.scopus.com/pages/publications/85081073618

U2 - 10.32523/2306-6172-2019-7-4-52-65

DO - 10.32523/2306-6172-2019-7-4-52-65

M3 - Article

AN - SCOPUS:85081073618

SN - 2306-6172

VL - 7

SP - 52

EP - 65

JO - Eurasian Journal of Mathematical and Computer Applications

JF - Eurasian Journal of Mathematical and Computer Applications

IS - 4

ER -

Well-posedness and exponential stability for the von karman systems with second sound

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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