NDLI: Invariance of decay rate with respect to boundary conditions in thermoelastic Timoshenko systems

Content Provider	Springer Nature Link
Author	Jorge Silva, M. A. Muñoz Rivera, J. E. Alves, M. S. Ma, T. F.
Copyright Year	2016
Abstract	This paper is mainly concerned with the polynomial stability of a thermoelastic Timoshenko system recently introduced by Almeida Júnior et al. (Z Angew Math Phys 65(6):1233–1249, 2014) that proved, in the general case when equal wave speeds are not assumed, different polynomial decay rates depending on the boundary conditions, namely, optimal rate $${t^{-1/2}}$$ for mixed Dirichlet–Neumann boundary condition and rate $${t^{-1/4}}$$ for full Dirichlet boundary condition. Here, our main achievement is to prove the same polynomial decay rate $${t^{-1/2}}$$ (corresponding to the optimal one) independently of the boundary conditions, which improves the existing literature on the subject. As a complementary result, we also prove that the system is exponentially stable under equal wave speeds assumption. The technique employed here can probably be applied to other kind of thermoelastic systems.
Ending Page	16
Page Count	16
Starting Page	1
File Format	PDF
ISSN	00442275
e-ISSN	14209039
Journal	Zeitschrift für angewandte Mathematik und Physik
Issue Number	3
Volume Number	67
Language	English
Publisher	Springer International Publishing
Publisher Date	2016-05-13
Publisher Place	Cham
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Linear constitutive equations Mathematical Methods in Physics Thermoelastic systems Stability Initial-boundary value problems for systems of mixed type Timoshenko systems Polynomial stability Exponential stability Theoretical and Applied Mechanics Plates Asymptotic behavior of solutions
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Physics and Astronomy

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Smoothing Properties, Decay, and Global Existence of Solutions to Nonlinear Coupled Systems of Thermoelastic Type

Stability properties of an abstract system with applications to linear thermoelastic plates

Exponential decay bounds for nonlinear heat problems with Robin boundary conditions

Spatial decay estimates for the Maxwell-Cattaneo equations with mixed boundary conditions

Stability to 1-D thermoelastic Timoshenko beam acting on shear force

Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation

Boundary Control of the Timoshenko Beam

General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions

Asymptotic behavior to a von Kármán equations of memory type with acoustic boundary conditions

Invariance of decay rate with respect to boundary conditions in thermoelastic Timoshenko systems

Similar Documents

Smoothing Properties, Decay, and Global Existence of Solutions to Nonlinear Coupled Systems of Thermoelastic Type

Stability properties of an abstract system with applications to linear thermoelastic plates

Exponential decay bounds for nonlinear heat problems with Robin boundary conditions

Spatial decay estimates for the Maxwell-Cattaneo equations with mixed boundary conditions

Stability to 1-D thermoelastic Timoshenko beam acting on shear force

Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation

Boundary Control of the Timoshenko Beam

General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions

Asymptotic behavior to a von Kármán equations of memory type with acoustic boundary conditions

Invariance of decay rate with respect to boundary conditions in thermoelastic Timoshenko systems