2016/01/01 by Guher Camliyurt, Güher Çamliyurt, Igor Kukavica
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Degree (music) #Forcing (mathematics) #Navier-Stokes equation solutions #Order (exchange) #Polynomial #Polynomial expansion #Stokes problem #Term (time) #math.AP
paper · pdf · doi:10.3934/eect.2016023
published as EVOLUTION EQUATIONS AND CONTROL THEORY, Volume 5, Number 4, December 2016
openalex publication_date 2016/01/01 · openalex created_date 2016/10/28 · arxiv created 2017/11/30 · arxiv updated 2017/12/04 · openalex updated_date 2026/08/05
We consider solutions of the Stokes system in a neighborhood of apoint in which the velocity u vanishes of order d. We prove that thereexists a divergence-free polynomial P in x with t-dependent coefficientsof degree d which approximates the solution u of order d+αfor certain α>0.The polynomial P satisfies a Stokes equation with a forcing term whichis a sum of two polynomials in x of degrees d-1 and d.