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Existence and uniqueness of solutions to initial boundary value problem for the higher order Boussinesq equation

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Abstract This paper studies the initial and boundary value problem for the higher order Boussinesq equation. The existence of a local and global solution are proved. The sufficient conditions for… Click to show full abstract

Abstract This paper studies the initial and boundary value problem for the higher order Boussinesq equation. The existence of a local and global solution are proved. The sufficient conditions for finite time blow-up solutions are provided by using the concavity method.

Keywords: value problem; initial boundary; order boussinesq; boundary value; problem higher; higher order

Journal Title: Nonlinear Analysis: Real World Applications
Year Published: 2019

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