EXISTENCE OF A WEAK SOLUTION IN AN INFINITE VISCOELASTIC STRIP WITH A SEMI-INFINITE CRACK-Reference-Cited by-同舟云学术

EXISTENCE OF A WEAK SOLUTION IN AN INFINITE VISCOELASTIC STRIP WITH A SEMI-INFINITE CRACK

Published:2004-07 Issue:07 Volume:14 Page:975-986
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

ITOU HIROMICHI¹,TANI ATUSI¹

Affiliation:

1. Department of Mathematics, Keio University, Yokohama 223-8522, Japan

Abstract

We study an initial-boundary value problem in an infinite viscoelastic strip with a semi-infinite fixed crack. For this problem we prove the existence and uniqueness of a weak solution which is prescribed on each side of the extended crack in Sobolev-type spaces.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202504003519

Reference7 articles.

1. Solvability of initial-boundary value problems in bending of plates

2. Global existence and exponential stability of small solutions to nonlinear viscoelasticity

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