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 stability of contact discontinuities without shear, a family ofspecial discontinuous solutions for the three-dimensional full Euler systems,in the class of vanishing dissipation limits of the correspondingNavier-Stokes-Fourier system. We also show that solutions of theNavier-Stokes-Fourier system converge to the contact discontinuity when theinitial datum converges to the contact discontinuity itself. This implies theuniqueness of the contact discontinuity in the class that we are considering.Our results give an answer to the open question, whether the contactdiscontinuity is unique for the multi-D compressible Euler system. Our proof isbased on the relative entropy method, together with the theory of$a$-contraction up to a shift.

communications in mathematical physics/communications in mathematical physics

Uniqueness of a planar contact discontinuity for 3D compressible Euler  system in a class of zero dissipation limits from Navier-Stokes-Fourier  system