九州関数方程式セミナー平成21年度後期講演

日時 11月13日(金) 15:30--17:00

講師 Hermann Sohr 氏 (Univ. Paderborn, Prof.emirtus)

題目 Recent results on weak and strong solutions of the Navier-Stokes equations

概要 Our purpose is to develop the optimal initial value condition for the existence of a unique local strong solution of the Navier-Stokes equations in a smooth bounded　domain. This condition is not only sufficient - there are several well-known sufficient conditions in this context - but also necessary, and yields therefore the largest possible class of such strong solutions. As an application we obtain several extensions of Serrin's regularity condition. A restricted result also holds for completely general domains. Furthermore we extend the well-known class of Leray-Hopf weak solutions with zero boundary conditions and zero divergence to a larger class with corresponding nonzero conditions.

日時	11月13日(金) 15:30--17:00
講師	Hermann Sohr 氏 (Univ. Paderborn, Prof.emirtus)
題目	Recent results on weak and strong solutions of the Navier-Stokes equations
概要	Our purpose is to develop the optimal initial value condition for the existence of a unique local strong solution of the Navier-Stokes equations in a smooth bounded　domain. This condition is not only sufficient - there are several well-known sufficient conditions in this context - but also necessary, and yields therefore the largest possible class of such strong solutions. As an application we obtain several extensions of Serrin's regularity condition. A restricted result also holds for completely general domains. Furthermore we extend the well-known class of Leray-Hopf weak solutions with zero boundary conditions and zero divergence to a larger class with corresponding nonzero conditions.

九州関数方程式セミナー 平成21年度後期講演

九州関数方程式セミナー平成21年度後期講演