R-bounded solution operator for a compressible fluid model of Korteweg type with slip boundary conditions in a bent half-space
Suma Inna

Universitas Islam Negeri Syarif Hidayatullah Jakarta

Abstract

The paper discusses the R-bounded solution operator for a compressible fluid model of Korteweg type with slip boundary conditions in a bent half-space --(\Omega_+)-. This result gives basic approaches to studying the Navier Stokes Korteweg system in the Lp- in time and Lq in space maximal regularity class and also the local and global wellposedness for an original nonlinear problem, which is a fundamental system equation to describe the motion of the viscous fluid.

Keywords: Bent-half space, Navier Stokes Korteweg, R-Boundedness, Slip boundary conditions

Topic: Minisymposia Differential Equations