• Daneshyari
  • Topics
    • Physical Sciences and Engineering
      Life Sciences
      Health Sciences
      Social Sciences and Humanities
Physical Sciences and Engineering Engineering Engineering (General)

Global existence and asymptotic behavior for one-dimensional thermoelasticity of integral type with hyperbolic heat conduction

Article ID Journal Published Year Pages File Type
839716 Nonlinear Analysis: Theory, Methods & Applications 2015 13 Pages PDF
Abstract

We consider an initial boundary value problem for thermoelasticity of integral type with hyperbolic heat conduction. We show that for small initial data in H1H1-norm, there exist globally defined solutions which are exponentially stable in bounded spatial domains.

Keywords
35L50Exponential stabilityGlobal solutionsHyperbolic heat conduction
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
Global existence and asymptotic behavior for one-dimensional thermoelasticity of integral type with hyperbolic heat conduction
Authors
Yuxi Hu,
Related Articles
Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth
Fefferman-Stein decomposition for QQ-spaces and micro-local quantities
Asymptotic behavior up to the second order term of solutions to quasilinear elliptic singular problems
On the lack of bound states for certain NLS equations on metric graphs
Higher integrability of iterated operators on differential forms
Blow-up results to certain hyperbolic model problems in fluid mechanics
Parabolicity of minimal graphs in Riemannian warped products and rigidity theorems
One-dimensional model equations for hyperbolic fluid flow
Monotonicity of the period of a non linear oscillator
Pseudo-Jacobian and global inversion of nonsmooth mappings on Riemannian manifolds
Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
Related Categories
35L50
Exponential stability
Global solutions
Hyperbolic heat conduction
Aerospace Engineering
Automotive Engineering
Biomedical Engineering
Civil and Structural Engineering
Computational Mechanics
Control and Systems Engineering
Electrical and Electronic Engineering
Engineering (General)
Industrial and Manufacturing Engineering
Mechanical Engineering
Mechanics of Materials
Ocean Engineering
Safety, Risk, Reliability and Quality
Related Journals
Nano Today
New Scientist
Design Studies
Artificial Intelligence
Neural Networks
Engineering
Engineering Science and Technology, an International Journal
Procedia Technology
Swarm and Evolutionary Computation
Information Fusion
Tribology International
Desalination
Sustainable Production and Consumption
Ain Shams Engineering Journal
Alexandria Engineering Journal
Beni-Suef University Journal of Basic and Applied Sciences
Composites Part B: Engineering
Composites Science and Technology
Comptes Rendus Mécanique
Daneshyari provides fulltext access to millions of research papers.