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

— We study the asymptotic behaviour of the solutions (u\ p) of compressible Navier-Stokes' équations when compressibility goes to zero (X -• + oo ) : 05 (*) Received in March 1986. ( ) École Normale Supérieure, Centre de Mathématiques, 45, rue d'Ulm, 75230 Paris Cedex M AN Modélisation mathématique et Analyse numérique 0399-0516/87/03/361/44/$6.40 Mathematical Modelling and Numerical Analysis © AFCET Gauthier-Villars 362 S. ADDED, H. ADDED 0 * , 0) = Cte,/? with y > landA>-0. We /rrs* establish global existence in time o f the solutions (u,p), the obtained estimâtes being uniform in X. When O0 = 0, we prove that u x strongly converges to u, solution of the following NavierStokes' incompressible équations : f P 0 ( M + ( M * . V) u°>) v A«°° =, V^ 0 0 , <ï>0 ^ 0, an initial layer phenomenon anses. More precisely, we prove that u — uTM — v strongly converges to zero, where v is the solution of the following coupled équation : h \ Vq = 0 , \yp0 div v x = 0 ,

Asymptotic behaviour for the solution of the compressible Navier-Stokes equation, when the compressibility goes to zero