PDE Seminar (2019/12/6): On asymptotic stability of physically reasonable flows in a twodimensional exterior domain
 Date

2019126 16:30 
2019126 18:00
 Place
 Faculty of Science Building #3, Room 309

Speaker/Organizer
 Yasunori Maekawa (Kyoto University)

 The flow past an obstacle is a fundamental object in fluid mechanics. In 1967 R. Finn and D. R. Smith proved the unique existence of stationary solutions, called the physically reasonable solutions, to the NavierStokes equations in a twodimensional exterior domain modeling this type of flows when the Reynolds number is sufficiently small. In this talk we prove that the physically reasonable solutions constructed by Finn and Smith are asymptotically stable with respect to small and well localized initial perturbations.