General decay of energy to a nonlinear viscoelastic two-dimensional beam
General decay of energy to a nonlinear viscoelastic two-dimensional beam作者机构:Faculty of Mathematics University of Sciences and Technology Houari Boumedienne
出 版 物:《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学(英文版))
年 卷 期:2018年第39卷第11期
页 面:1661-1678页
核心收录:
学科分类:07[理学] 070102[理学-计算数学] 0701[理学-数学]
主 题:two-dimensional space viscoelastic beam nonlinear tension exponential decay Lyapunov functional
摘 要:A viscoelastic beam in a two-dimensional space is considered with nonlinear tension. A boundary feedback is applied at the right boundary of the beam to suppress the undesirable vibration. The well-posedness of the problem is established. With the multiplier method, a uniform decay result is proven.