Global existence, asymptotic stability and blow‐up of solutions for the generalized Boussinesq equation with nonlinear boundary condition

Mathematische Nachrichten ◽

10.1002/mana.201700350 ◽

2019 ◽

Vol 293 (2) ◽

pp. 386-404

Author(s):

Hongwei Zhang ◽

Qingying Hu ◽

Gongwei Liu

Keyword(s):

Boundary Condition ◽

Asymptotic Stability ◽

Global Existence ◽

Nonlinear Boundary ◽

Boussinesq Equation ◽

Nonlinear Boundary Condition ◽

Blow Up ◽

Generalized Boussinesq Equation

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Asymptotic Stability and Blow-up of Solutions for the Generalized Boussinesq Equation with Nonlinear Boundary Condition

Open Journal of Mathematical Analysis ◽

10.30538/psrp-oma2018.0021 ◽

2018 ◽

Vol 2(2018) (2) ◽

pp. 93-113

Author(s):

Jian Dang ◽

◽

Qingying Hu ◽

Hongwei Zhang ◽

◽

...

Keyword(s):

Boundary Condition ◽

Asymptotic Stability ◽

Nonlinear Boundary ◽

Boussinesq Equation ◽

Nonlinear Boundary Condition ◽

Blow Up ◽

Generalized Boussinesq Equation

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Blow-Up of the solution of the initial boundary-value problem for the generalized Boussinesq equation with nonlinear boundary condition

Mathematical Notes ◽

10.1134/s0001434612090246 ◽

2012 ◽

Vol 92 (3-4) ◽

pp. 519-531 ◽

Author(s):

P. A. Makarov

Keyword(s):

Boundary Condition ◽

Boundary Value Problem ◽

Nonlinear Boundary ◽

Boussinesq Equation ◽

Nonlinear Boundary Condition ◽

Blow Up ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Initial Boundary Value ◽

Generalized Boussinesq Equation

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Global Existence and Blow-up for the Quasi-Linear Parabolic Equation with Nonlinear Boundary Condition

Lecture Notes in Electrical Engineering - Information Engineering and Applications ◽

10.1007/978-1-4471-2386-6_163 ◽

2012 ◽

pp. 1236-1240

Author(s):

Botao Chen ◽

Yongsheng Mi

Keyword(s):

Boundary Condition ◽

Parabolic Equation ◽

Global Existence ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Blow Up ◽

Linear Parabolic Equation

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Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s000330050060 ◽

1997 ◽

Vol 48 (5) ◽

pp. 711 ◽

Author(s):

G. Acosta ◽

J. D. Rossi

Keyword(s):

Boundary Condition ◽

Global Existence ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Blow Up ◽

Parabolic Systems ◽

Quasilinear Parabolic Systems ◽

Quasilinear Parabolic

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Global existence and blow up for a parabolic system with nonlinear boundary condition

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-004-0035-8 ◽

2004 ◽

Vol 19 (3) ◽

pp. 272-278

Author(s):

Longfeng Xu

Keyword(s):

Boundary Condition ◽

Global Existence ◽

Parabolic System ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

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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 ◽

Author(s):

Julián López Gómez ◽

Viviana Márquez ◽

Noemí Wolanski

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

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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 ◽

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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 ◽

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Blow-up phenomena for a nonlinear parabolic problem with p-Laplacian operator under nonlinear boundary condition

Boundary Value Problems ◽

10.1186/s13661-016-0663-y ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Xiufen Wang ◽

Yimin Shi

Keyword(s):

Boundary Condition ◽

Parabolic Problem ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Blow Up ◽

Laplacian Operator ◽

Nonlinear Parabolic Problem ◽

Nonlinear Parabolic

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Blow-up behavior for a semilinear heat equation with a nonlinear boundary condition

Tohoku Mathematical Journal ◽

10.2748/tmj/1113247131 ◽

2003 ◽

Vol 55 (4) ◽

pp. 565-581 ◽

Author(s):

Sheng-Chen Fu ◽

Jong-Shenq Guo ◽

Je-Chiang Tsai

Keyword(s):

Boundary Condition ◽

Heat Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Blow Up ◽

Semilinear Heat Equation

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