On the new analitical solutions for Ekman's equations
"Математика. Компьютер. Образование". Cб. трудов XII международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2005. Vol. 2, 466pp. Pp. 660-666.
The first analytical solution for the simplified 3-D model of wind stationary motions of homogeneous fluid were found by Ekman in case of variable coefficient of turbulent exchange and sticking conditions at the bottom. We suggest analytical solutions for this model in following cases: coefficient of turbulent exchange is constant and slipping conditions at the bottom. Coriolis parameter is zero, sticking and slipping conditions at the bottom and arbitrary variable coefficient of turbulent exchange (earlier was known the solution in case linear and exponential depth distribution of coefficient of turbulent exchange and sticking condition at the bottom).