Chaotic oscillations of wave equations due to nonlinear boundary condition

Fei Wang; Jun-Min Wang; Liang-Liang Li

doi:10.1063/5.0013378

Chaotic oscillations of wave equations due to nonlinear boundary condition

Journal of Mathematical Physics ◽

10.1063/5.0013378 ◽

2020 ◽

Vol 61 (10) ◽

pp. 102703

Author(s):

Fei Wang ◽

Jun-Min Wang ◽

Liang-Liang Li

Keyword(s):

Boundary Condition ◽

Wave Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Chaotic Oscillations

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Exponential boundary stabilization for nonlinear wave equations with localized damping and nonlinear boundary condition

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2017075 ◽

2017 ◽

Vol 16 (5) ◽

pp. 1571-1585 ◽

Cited By ~ 4

Author(s):

Takeshi Taniguchi ◽

Keyword(s):

Boundary Condition ◽

Nonlinear Wave ◽

Wave Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Nonlinear Wave Equations ◽

Boundary Stabilization ◽

Localized Damping

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Chaotic oscillations of a linear hyperbolic PDE with a general nonlinear boundary condition

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.10.083 ◽

2019 ◽

Vol 472 (1) ◽

pp. 94-111 ◽

Cited By ~ 3

Author(s):

Qiaomin Xiang ◽

Qigui Yang

Keyword(s):

Boundary Condition ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Chaotic Oscillations ◽

Hyperbolic Pde

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Modal energy exchanges in an impulsively loaded beam with a geometrically nonlinear boundary condition: computation and experiment

Nonlinear Dynamics ◽

10.1007/s11071-020-06156-7 ◽

2021 ◽

Author(s):

Alireza Mojahed ◽

Yang Liu ◽

Lawrence A. Bergman ◽

Alexander F. Vakakis

Keyword(s):

Boundary Condition ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Geometrically Nonlinear ◽

Energy Exchanges

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Existence and Non-existence Results for a Quasilinear Problem with Nonlinear Boundary Condition

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1999.6699 ◽

2000 ◽

Vol 244 (1) ◽

pp. 169-183 ◽

Cited By ~ 12

Author(s):

Florica-Corina Şt. Cîrstea ◽

Vicenţiu D. Rădulescu

Keyword(s):

Boundary Condition ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Existence Results ◽

Quasilinear Problem

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Existence and multiplicity results for double phase problem with nonlinear boundary condition

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103307 ◽

2021 ◽

Vol 60 ◽

pp. 103307

Author(s):

Na Cui ◽

Hong-Rui Sun

Keyword(s):

Boundary Condition ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Phase Problem ◽

Multiplicity Results ◽

Existence And Multiplicity ◽

Double Phase ◽

Double Phase Problem

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Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition

Journal of Differential Equations ◽

10.1016/0022-0396(91)90056-f ◽

1991 ◽

Vol 92 (2) ◽

pp. 384-401 ◽

Cited By ~ 47

Author(s):

Julián López Gómez ◽

Viviana Márquez ◽

Noemí Wolanski

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Blow Up

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Localization of blow-up points for a parabolic system with a nonlinear boundary condition

Rendiconti del Circolo Matematico di Palermo (1952 -) ◽

10.1007/bf02844385 ◽

1999 ◽

Vol 48 (1) ◽

pp. 135-152

Author(s):

D. F. Rial ◽

J. D. Rossi

Keyword(s):

Boundary Condition ◽

Parabolic System ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Blow Up

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Stabilization of One-Dimensional Wave Equation With Nonlinear Boundary Condition Subject to Boundary Control Matched Disturbance

IEEE Transactions on Automatic Control ◽

10.1109/tac.2018.2874746 ◽

2019 ◽

Vol 64 (7) ◽

pp. 3068-3073 ◽

Cited By ~ 8

Author(s):

Jun-Jun Liu ◽

Jun-Min Wang

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Boundary Control ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

One Dimensional ◽

Dimensional Wave

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Asymptotic Stability of Solutions to a Two-Phase Stefan Problem with Nonlinear Boundary Condition of Signorini Type

Optimal Control of Partial Differential Equations II: Theory and Applications ◽

10.1007/978-3-0348-7627-8_9 ◽

1987 ◽

pp. 139-159

Author(s):

Nobuyuki Kenmochi

Keyword(s):

Boundary Condition ◽

Asymptotic Stability ◽

Stefan Problem ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Stability Of Solutions ◽

Two Phase

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Boundary Layer of the Heat Equation in Several Variables with Nonlinear Boundary Condition as a Power-Type Function

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19890690125 ◽

1989 ◽

Vol 69 (1) ◽

pp. 51-52 ◽

Cited By ~ 1

Author(s):

G. A. Nesenenko

Keyword(s):

Boundary Layer ◽

Boundary Condition ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Power Type ◽

Type Function ◽

Several Variables

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