ENERGY DECAY RATES FOR THE BRESSE-CATTANEO SYSTEM WITH WEAK NONLINEAR BOUNDARY DISSIPATION

Facta Universitatis. Series Mathematics and Informatics

Ammar Khemmoudj¹  Taklit Hamadouche² 

[1] Faculty of MathematicsDepartment of AnalysisP. O. Box 32Bab Ezzouar, Algiers , Algeria.;Faculty of Mathematics, USTHB, PO Box 32, El Alia 16111, Bab Ezzouar, Algiers , Algeria

关键词: Bresse system;    General decay;    Cattaneo';    s law;    Boundary damping;    Weak dissipation;   

DOI  :  10.22190/FUMI1705659H

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

In this paper, we consider a one-dimensional Bresse system with Cattaneo’s type heat conduction and a nonlinear weakly dissipative boundary feedback localized on a part of the boundary. We show the well-posedness, using the semigroup theory, and establish an explicit and general decay rate result without imposing a specific growth assumption on the behavior of damping terms near zero.

【 授权许可】

Unknown