System of Laplace equations in a half-space with a free interface, capillary-gravitational waves, bifurcation, and symmetry

On a resolvent estimate of the Stokes sy

On a resolvent estimate of the Stokes system in a half space arising from a free boundary problem for the Navier–Stokes equations

✍ Y. Shibata; S. Shimizu 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 228 KB 👁 1 views

## Abstract In this paper we consider a resolvent problem of the Stokes operator with some boundary condition in the half space, which is obtained as a model problem arising in evolution free boundary problems for viscous, incompressible fluid flow. We show standard resolvent estimates in the __L~q