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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this paper, we analyze the behavior of viscous shock profiles ofone-dimensional compressible Navier-Stokes equations with a singular pressurelaw which encodes the effects of congestion. As the intensity of the singularpressure tends to 0, we show the convergence of these profiles towardsfree-congested traveling front solutions of a two-phasecompressible-incompressible Navier-Stokes system and we provide a refineddescription of the profiles in the vicinity of the transition between the freedomain and the congested domain. In the second part of the paper, we prove thatthe profiles are asymptotically nonlinearly stable under small perturbationswith zero integral, and we quantify the size of the admissible perturbations interms of the intensity of the singular pressure.

Existence and stability of partially congested propagation fronts in a one-dimensional Navier-Stokes model