Periodic problem for the nonlinear damped wave equation with convective nonlinearity

Rafael Carreño‐Bolaños; Beatriz Juarez‐Campos; Pavel I. Naumkin

doi:10.1111/sapm.12316

Periodic problem for the nonlinear damped wave equation with convective nonlinearity

Studies in Applied Mathematics ◽

10.1111/sapm.12316 ◽

2020 ◽

Vol 145 (1) ◽

pp. 137-149

Author(s):

Rafael Carreño‐Bolaños ◽

Beatriz Juarez‐Campos ◽

Pavel I. Naumkin

Keyword(s):

Wave Equation ◽

Periodic Problem ◽

Damped Wave Equation ◽

Nonlinear Damped Wave Equation

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Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-010-0058-1 ◽

2010 ◽

Vol 17 (3) ◽

pp. 355-369

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin ◽

Joel A. Rodriguez-Ceballos

Keyword(s):

Wave Equation ◽

Periodic Problem ◽

Damped Wave Equation ◽

Asymptotics Of Solutions ◽

Nonlinear Damped Wave Equation

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Periodic problem for a nonlinear-damped wave equation on the boundary

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1244 ◽

2009 ◽

pp. n/a-n/a

Author(s):

G. O. Antunes ◽

H. R. Crippa ◽

M. D. G. da Silva

Keyword(s):

Wave Equation ◽

Periodic Problem ◽

Damped Wave Equation ◽

Nonlinear Damped Wave Equation

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Global solutions and finite time blow-up for fourth order nonlinear damped wave equation

Journal of Mathematical Physics ◽

10.1063/1.5006728 ◽

2018 ◽

Vol 59 (6) ◽

pp. 061503 ◽

Cited By ~ 10

Author(s):

Runzhang Xu ◽

Xingchang Wang ◽

Yanbing Yang ◽

Shaohua Chen

Keyword(s):

Wave Equation ◽

Fourth Order ◽

Finite Time ◽

Blow Up ◽

Global Solutions ◽

Damped Wave Equation ◽

Nonlinear Damped Wave Equation

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Invariance properties and conservation laws of the nonlinear damped wave equation with power law nonlinearities

Results in Physics ◽

10.1016/j.rinp.2017.02.026 ◽

2017 ◽

Vol 7 ◽

pp. 991-994

Author(s):

Usamah S. Al Ali ◽

Ashfaque H. Bokhari ◽

A.H. Kara ◽

F.D. Zaman

Keyword(s):

Wave Equation ◽

Conservation Laws ◽

Power Law ◽

Damped Wave Equation ◽

Invariance Properties ◽

Nonlinear Damped Wave Equation

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Stabilization of the nonlinear damped wave equation via linear weak observability

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-016-0363-4 ◽

2016 ◽

Vol 23 (2) ◽

Cited By ~ 1

Author(s):

Kaïs Ammari ◽

Ahmed Bchatnia ◽

Karim El Mufti

Keyword(s):

Wave Equation ◽

Damped Wave Equation ◽

Nonlinear Damped Wave Equation

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Remark on Asymptotic Order for the Energy Critical Nonlinear Damped Wave Equation to the Linear Heat Equation via the Strichartz Estimates

Trends in Mathematics - Advances in Harmonic Analysis and Partial Differential Equations ◽

10.1007/978-3-030-58215-9_10 ◽

2020 ◽

pp. 253-262

Author(s):

Takahisa Inui

Keyword(s):

Wave Equation ◽

Heat Equation ◽

Strichartz Estimates ◽

Damped Wave Equation ◽

Asymptotic Order ◽

Linear Heat Equation ◽

Linear Heat ◽

Nonlinear Damped Wave Equation

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The Cauchy problem for the nonlinear damped wave equation with slowly decaying data

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-017-0434-1 ◽

2017 ◽

Vol 24 (2) ◽

Cited By ~ 4

Author(s):

Masahiro Ikeda ◽

Takahisa Inui ◽

Yuta Wakasugi

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Damped Wave Equation ◽

The Cauchy Problem ◽

Nonlinear Damped Wave Equation

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On the critical nonlinear damped wave equation with large initial data

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.01.021 ◽

2007 ◽

Vol 334 (2) ◽

pp. 1400-1425 ◽

Cited By ~ 17

Author(s):

Nakao Hayashi ◽

Elena I. Kaikina ◽

Pavel I. Naumkin

Keyword(s):

Wave Equation ◽

Initial Data ◽

Damped Wave Equation ◽

Large Initial Data ◽

Nonlinear Damped Wave Equation

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Nonlinear damped wave equation: Existence and blow-up

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.07.048 ◽

2017 ◽

Vol 74 (12) ◽

pp. 3024-3041 ◽

Cited By ~ 13

Author(s):

Salim A. Messaoudi ◽

Ala A. Talahmeh ◽

Jamal H. Al-Smail

Keyword(s):

Wave Equation ◽

Blow Up ◽

Damped Wave Equation ◽

Nonlinear Damped Wave Equation

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A family of new fourth-order solvers for a nonlinear damped wave equation

Computer Physics Communications ◽

10.1016/j.cpc.2012.08.019 ◽

2013 ◽

Vol 184 (1) ◽

pp. 86-101 ◽

Cited By ~ 8

Author(s):

Dingwen Deng ◽

Chengjian Zhang

Keyword(s):

Wave Equation ◽

Fourth Order ◽

Damped Wave Equation ◽

Nonlinear Damped Wave Equation

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