In this project we consider the Navier-Stokes equations associated to two problems, where the fluid is influenced by rotation effects. The first one considers the Coriolis force and the second models the Navier-Stokes flow around a rotating obstacle with a certain angular velocity. We are interested in issues such as existence, stability of steady solutions, asymptotic behavior, and in studying the influence of the rotation speed on properties of solutions. We intend to address the equations in singular spaces such as those of Morrey and Lebesgue locally uniform, and obtain new solutions and conditions for their stability.
News published in Agência FAPESP Newsletter about the scholarship: