Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity

Priyanjana M.N. Dharmawardane; Tohru Nakamura; Shuichi Kawashima

doi:10.3792/pjaa.87.99

Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity

Priyanjana M.N. Dharmawardane^*, Tohru Nakamura, Shuichi Kawashima

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The aim in this paper is to develop the time-weighted energy method for quasilinear hyperbolic systems of viscoelasticity. As a consequence, we prove the global existence and decay estimate of solutions for the space dimension n ≥ 2, provided that the initial data are small in the L²-Sobolev space.

Original language	English
Pages (from-to)	99-102
Number of pages	4
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	87
Issue number	6
DOIs	https://doi.org/10.3792/pjaa.87.99
Publication status	Published - 2011 Jun
Externally published	Yes

Keywords

Decay estimate
Global existence
Time-weighted energy method
Viscoelasticity

ASJC Scopus subject areas

Mathematics(all)

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10.3792/pjaa.87.99

Cite this

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title = "Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity",

abstract = "The aim in this paper is to develop the time-weighted energy method for quasilinear hyperbolic systems of viscoelasticity. As a consequence, we prove the global existence and decay estimate of solutions for the space dimension n ≥ 2, provided that the initial data are small in the L2-Sobolev space.",

keywords = "Decay estimate, Global existence, Time-weighted energy method, Viscoelasticity",

author = "Dharmawardane, {Priyanjana M.N.} and Tohru Nakamura and Shuichi Kawashima",

year = "2011",

month = jun,

doi = "10.3792/pjaa.87.99",

language = "English",

volume = "87",

pages = "99--102",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

issn = "0386-2194",

publisher = "Japan Academy",

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T1 - Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity

AU - Dharmawardane, Priyanjana M.N.

AU - Nakamura, Tohru

AU - Kawashima, Shuichi

PY - 2011/6

Y1 - 2011/6

N2 - The aim in this paper is to develop the time-weighted energy method for quasilinear hyperbolic systems of viscoelasticity. As a consequence, we prove the global existence and decay estimate of solutions for the space dimension n ≥ 2, provided that the initial data are small in the L2-Sobolev space.

AB - The aim in this paper is to develop the time-weighted energy method for quasilinear hyperbolic systems of viscoelasticity. As a consequence, we prove the global existence and decay estimate of solutions for the space dimension n ≥ 2, provided that the initial data are small in the L2-Sobolev space.

KW - Decay estimate

KW - Global existence

KW - Time-weighted energy method

KW - Viscoelasticity

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U2 - 10.3792/pjaa.87.99

DO - 10.3792/pjaa.87.99

M3 - Article

AN - SCOPUS:79958851321

SN - 0386-2194

VL - 87

SP - 99

EP - 102

JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

IS - 6

ER -

Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity

Abstract

Keywords

ASJC Scopus subject areas

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