WELL-POSEDNESS AND ASYMPTOTIC STABILITY FOR THE LAME SYSTEM WITH INFINITE MEMORIES IN A BOUNDED DOMAIN

A Bchatnia; Aissa Guesmia

WELL-POSEDNESS AND ASYMPTOTIC STABILITY FOR THE LAME SYSTEM WITH INFINITE MEMORIES IN A BOUNDED DOMAIN

A Bchatnia
, Aissa Guesmia

King Fahd University of Petroleum & Minerals

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

20 Scopus citations

Abstract

In this work, we consider the Lame system in 3-dimension bounded domain with infinite memories. We prove, under some appropriate assumptions, that this system is well-posed and stable, and we get a general and precise estimate on the convergence of solutions to zero at infinity in terms of the growth of the infinite memories.

Original language	English
Journal	Mathematical Control and Related Fields
State	Published - 2014

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title = "WELL-POSEDNESS AND ASYMPTOTIC STABILITY FOR THE LAME SYSTEM WITH INFINITE MEMORIES IN A BOUNDED DOMAIN",

abstract = "In this work, we consider the Lame system in 3-dimension bounded domain with infinite memories. We prove, under some appropriate assumptions, that this system is well-posed and stable, and we get a general and precise estimate on the convergence of solutions to zero at infinity in terms of the growth of the infinite memories.",

author = "A Bchatnia and Aissa Guesmia",

year = "2014",

language = "English",

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TY - JOUR

T1 - WELL-POSEDNESS AND ASYMPTOTIC STABILITY FOR THE LAME SYSTEM WITH INFINITE MEMORIES IN A BOUNDED DOMAIN

AU - Bchatnia, A

AU - Guesmia, Aissa

PY - 2014

Y1 - 2014

N2 - In this work, we consider the Lame system in 3-dimension bounded domain with infinite memories. We prove, under some appropriate assumptions, that this system is well-posed and stable, and we get a general and precise estimate on the convergence of solutions to zero at infinity in terms of the growth of the infinite memories.

AB - In this work, we consider the Lame system in 3-dimension bounded domain with infinite memories. We prove, under some appropriate assumptions, that this system is well-posed and stable, and we get a general and precise estimate on the convergence of solutions to zero at infinity in terms of the growth of the infinite memories.

M3 - Article

SN - 2156-8472

JO - Mathematical Control and Related Fields

JF - Mathematical Control and Related Fields

ER -

WELL-POSEDNESS AND ASYMPTOTIC STABILITY FOR THE LAME SYSTEM WITH INFINITE MEMORIES IN A BOUNDED DOMAIN

Abstract

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