English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This paper concerns the global existence for classical solutions problem tothe 3D Density-Dependent Viscosity barotropic compressible Navier-Stokes in$\Omega$ with slip boundary condition, where $\Omega$ is a simply connectedbounded $C^{\infty}$ domain in $\mathbb{R}^3$ and its boundary only has afinite number of 2-dimensional connected components. By a series of a prioriestimates, we show that the classical solution to the system exists globally intime under the assumption that the initial energy is suitably small. Theinitial density of such a classical solution is allowed to have largeoscillations and contain vacuum states. We also adopt some new techniques andmethods to obtain necessary a priori estimates, especially the boundaryintegral terms estimates. This is the first result concerning the globalexistence of classical solutions to the compressible Navier-Stokes equationswith density containing vacuum initially and viscosity coefficients dependingon density for general 3D bounded smooth domains.

Global Classical Solutions to the 3D Density-Dependent Viscosity  Compressible Navier-Stokes Equations with Navier-Slip Boundary Condition in a  Simply Connected Bounded Domain