Global Existence and Asymptitic Behavior of The Boussinesq-burgers System

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Tamimi, Hengameh | 2016

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 48828 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Hesaraki, Mahmoud
Abstract:
This thesis is concerned with the Boussinesq-Burgers system which models the propagation of bores by combing the dissipation, Dispasion and nonlinearity . we establish the global existence and asymptotical behavior of classical solutions of the initial value and Dirichlet boundary problem of the Boussinesq-Burgers system with the help of a lyapunov functional and the technique of Moser itrtation. Particularly we show that the solution converges to the constant stationary solution as time tends to infinity. Furthermore if we have real domain or non-hemogenous boundary condition then we will arrive constant stationary solution as time tends to infinity
Keywords:
Stationary Solution ; Lyapunov Stability ; Global Solution ; Asymptotic Behavior ; Boussinesg-Burgers Equation