Well-posedness and general energy decay of solutions for a nonlinear damping piezoelectric beams system with thermal and magnetic effects

Hassan Messaoudi; Abdelouaheb Ardjouni; Salah Zıtounı; Khochemane Houssem Eddine

Article Details

Well-posedness and general energy decay of solutions for a nonlinear damping piezoelectric beams system with thermal and magnetic effects

Authors:

Hassan Messaoudi | Abdelouaheb Ardjouni | Salah Zıtounı | Khochemane Houssem Eddine

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 6, pp.1615-1630

Document Type:

Article

Publication Date:

3/2023

Document Language:

English

Document ID (Org No.):

2001301866

pISSN:

2651-477X

Keywords:

Abstract:

 In this article, we study the piezoelectric beams with thermal and magnetic effects in the presence of a nonlinear damping term acting on the mechanical equation. First, we prove that the system is well-posed in the sense of semigroup theory. And by constructing a suitable Liapunov functional, we show a general decay result of the solution for the system from which the polynomial and exponential decay are only special cases. Furthermore, our result does not depend on any relationship between system parameters.

 In this article, we study the piezoelectric beams with thermal and magnetic effects in the presence of a nonlinear damping term acting on the mechanical equation. First, we prove that the system is well-posed in the sense of semigroup theory. And by constructing a suitable Liapunov functional, we show a general decay result of the solution for the system from which the polynomial and exponential decay are only special cases. Furthermore, our result does not depend on any relationship between system parameters.

 In this article, we study the piezoelectric beams with thermal and magnetic effects in the presence of a nonlinear damping term acting on the mechanical equation. First, we prove that the system is well-posed in the sense of semigroup theory. And by constructing a suitable Liapunov functional, we show a general decay result of the solution for the system from which the polynomial and exponential decay are only special cases. Furthermore, our result does not depend on any relationship between system parameters.

 In this article, we study the piezoelectric beams with thermal and magnetic effects in the presence of a nonlinear damping term acting on the mechanical equation. First, we prove that the system is well-posed in the sense of semigroup theory. And by constructing a suitable Liapunov functional, we show a general decay result of the solution for the system from which the polynomial and exponential decay are only special cases. Furthermore, our result does not depend on any relationship between system parameters.

Article Details

Well-posedness and general energy decay of solutions for a nonlinear damping piezoelectric beams system with thermal and magnetic effects

Authors:

Hassan Messaoudi | Abdelouaheb Ardjouni | Salah Zıtounı | Khochemane Houssem Eddine

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 6, pp.1615-1630

Document Type:

Article

Publication Date:

3/2023

Document Language:

English

Document ID (Org No.):

2001301866

pISSN:

2651-477X

General decay

Liapunov functional

semigroup approach

nonlinear damping

piezoelectric beams.

Issues

Article Details

Well-posedness and general energy decay of solutions for a nonlinear damping piezoelectric beams system with thermal and magnetic effects

Authors: Hassan Messaoudi | Abdelouaheb Ardjouni | Salah Zıtounı | Khochemane Houssem Eddine

Publisher: Hacettepe University

Main Topics: Mathematical Sciences

Journal: Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 6, pp.1615-1630

Document Type: Article

Publication Date: 3/2023

Document Language: English

Document ID (Org No.): 2001301866

pISSN: 2651-477X

General decay

Liapunov functional

semigroup approach

nonlinear damping

piezoelectric beams.

Issues

Authors:

Hassan Messaoudi | Abdelouaheb Ardjouni | Salah Zıtounı | Khochemane Houssem Eddine

Publisher:

Hacettepe University

Main Topics:

Mathematical Sciences

Journal:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 6, pp.1615-1630

Document Type:

Article

Publication Date:

3/2023

Document Language:

English

Document ID (Org No.):

2001301866

pISSN:

2651-477X