Linear decay property for the hyperbolic-parabolic coupled systems of thermoviscoelasticity-Reference-Cited by-同舟云学术

Linear decay property for the hyperbolic-parabolic coupled systems of thermoviscoelasticity

Published:2023-12 Issue:04 Volume:20 Page:967-986
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

Dharmawardane Priyanjana M. N.¹²,Kawashima Shuichi³,Ogawa Takayoshi⁴,Segata Jun-ichi¹

Affiliation:

1. Faculty of Mathematics, Kyushu University, 744 Motooka, Nishi-ku Fukuoka 819-0395, Japan

2. Department of Mathematical Sciences, Wayamba University of Sri Lanka, Kuliyapitiya 60200, Sri Lanka

3. Research Institute for Science and Engineering, Waseda University, Tokyo 169-8555, Japan

4. Mathematical Institute, Tohoku University, 6-3, Aramaki Aza-Aoba, Aoba-ku, Sendai 980-8578, Japan

Abstract

We consider the initial value problem of a linearized hyperbolic-parabolic coupled systems of thermoviscoelasticity around the constant state with arbitrary spatial dimensions ([Formula: see text]) and study the decay property of the systems. In the first place, we construct the fundamental solutions in Fourier space. Then we prove the decay property for the linearized systems provided that the initial data are in [Formula: see text].

Funder

JSPS KAKENHI

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891623500297

Reference17 articles.

1. GLOBAL SOLUTIONS AND DECAY PROPERTY WITH REGULARITY-LOSS FOR QUASI-LINEAR HYPERBOLIC SYSTEMS WITH DISSIPATION

2. Decay property for second order hyperbolic systems of viscoelastic materials

3. Global solutions to quasi-linear hyperbolic systems of viscoelasticity

4. Decay Estimates of Solutions for Quasi-Linear Hyperbolic Systems of Viscoelasticity

5. On the existence and the asymptotic stability of solutions for linearly viscoelastic solids