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math.AP2021
The Cauchy problem for the nonlinear viscous Boussinesq equation in the framework
Wenhui Chen, Tuan Anh Dao
In this paper, we study the viscous Boussinesq equation in the whole space , which describes the propagation of small amplitude and long waves on the surface of water…
math.AP2021
Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball
Tuan Anh Dao, Masahiro Ikeda
In this paper, we consider the initial-boundary value problems with several fundamental boundary conditions (the Dirichlet/Neumann/Robin boundary condition) for the multi-component…
math.AP2021
Global existence results for semi-linear structurally damped wave equations with nonlinear convection
Tuan Anh Dao, Hiroshi Takeda
In this paper, we consider the Cauchy problem for semi-linear wave equations with structural damping term , where is a constant. As being mentioned in [8,10], th…