4 papers · 2 filters
Ill-posedness in of the Euler equations: Non-continuous dependence
Jinlu Li, Yanghai Yu
In this paper, we solve an open problem left in the monographs \cite[Bahouri-Chemin-Danchin, (2011)]{BCD}. Precisely speaking, it was obtained in \cite[Theorem 7.1 on pp293, (2011)…
Ill-posedness and inviscid limit of the basic equations of fluid dynamics in Besov spaces
Jinlu Li, Xing Wu, Yanghai Yu
In this paper, we consider the Cauchy problem to the basic equations of fluid dynamics on the torus. Firstly, we construct a new initial data and provide a simple proof on the ill-…
Non-convergence of the Navier-Stokes equations toward the Euler equations in the endpoint Besov spaces
Yanghai Yu, Jinlu Li
In this paper, we consider the inviscid limit problem to the higher dimensional incompressible Navier-Stokes equations in the whole space. It was proved in \cite[J. Funct. Anal., 2…
On the continuous properties for the 3D incompressible rotating Euler equations
Jinlu Li, Yanghai Yu, Neng Zhu
In this paper, we consider the Cauchy problem for the 3D Euler equations with the Coriolis force in the whole space. We first establish the local-in-time existence and uniqueness o…