Seminario EDPs y Mecánica de Fluidos
Some studies to incompressible fluid systems
Ponente: Xueting Jin (School of Mathematical Sciences Capital Normal University)Fecha: jueves 28 de noviembre de 2024 - 11:30Lugar: Aula Naranja, ICMAT
Resumen:
In this talk, I will introduce some results to incompressible fluid systems. It is divided into three parts. At first, for 3D Navier-Stokes equations with damping term, the optimal decay rate and two space weighted estimates
will be shown. And then in the second part, I will explore the stability results with respect to transition thresholds of 2D micropolar equations. In the last, for D-dimensional magnetohydrodynamic (MHD) equations with fractional diffusion, I will introduce the well-posedness results in the Besov spaces about the different ranges of the parameter.
