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

In this paper, we consider the small viscosity limit problem for theisentropic compressible Navier-Stokes equations in a 2D exterior domain withimpermeable boundary conditions , and the corresponding Euler equations havevortex sheet solutions.We obtain that away from the boundary and the contactdiscontinuous the isentropic compressible viscous flow can be approximated bythe corresponding inviscid flow, near the boundary (the contact discontinuous)there is a boundary layer (vortex layer)for the angular velocity in the leadingorder expansion of solution, while the radial velocity and the pressure do nothave boundary layers (vortex layers) in the leading order. We rigorouslyjustify the asymptotic behavior of solutions in the $L^{\infty}$ space for thesmall viscosities limit in the Lagrangian coordinates.

Vanishing viscosity limit to vortex sheet for the isentropic compressible circularly symmetric 2D flow