Time-periodic solutions to quasilinear hyperbolic systems with time-periodic boundary conditions

被引：9
作者：
Qu, Peng [1 ,2 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2020年 / 139卷
关键词：
Time-periodic solution; Quasilinear hyperbolic system; Time-periodic boundary condition; Asymptotic stability; FEEDBACK STABILIZATION; LYAPUNOV STABILITY; EQUATIONS; STATE;
D O I：
10.1016/j.matpur.2019.10.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For quasilinear hyperbolic systems with time-periodic boundary conditions possessing a dissipative structure, the existence, uniqueness and stability of the time-periodic classical solutions are proved. Moreover, the feedback boundary control with dissipative structure can stabilize the system around the time-periodic solution, provided that the time-periodic boundary conditions are W-2,W-infinity smooth. (C) 2019 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：356 / 382
页数：27
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