Global existence and asymptotic behavior of smooth solutions for a bipolar Euler-Poisson system in the quarter plane
Global existence and asymptotic behavior of smooth solutions for a bipolar Euler-Poisson system in the quarter plane
In the article, a one-dimensional bipolar hydrodynamic model (Euler-Poisson system) in the quarter plane is considered. This system takes the form of Euler-Poisson with electric field and frictional damping added to the momentum equations. The global existence of smooth small solutions for the corresponding initial-boundary value problem is firstly shown. …