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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We prove the existence and uniqueness of a strong solution to the steady isentropic compressible Navier–Stokes equations with inflow boundary condition for density and mixed boundary conditions for the velocity around a shear flow. In particular, the Dirichlet boundary conditions on the inflow and outflow part of the boundary and the full Navier boundary conditions on the wallfor the velocity field are considered. For our result, there are no restrictions on the amplitude of friction coefficients  α , and only the assumption that the viscosity coefficient  μ  is appropriately large is required. One of the substantial ingredients of our proof is an elegant transformation induced by the flow field. With the help of this transformation, we can overcome the difficulties caused by the hyperbolicity of the continuity equation, establish the a priori estimates for a linearized system and apply the fixed point argument.

On an inhomogeneous slip-inflow boundary value problem for a steady viscous compressible channel flow