The Navier-Stokes equation in the bidimensional torus is considered, with initial velocityin the Besov spaces B_(pr)~(-s+2-2/r)and forcing term inL~r(O, T;B_(pq)~(-s)for suitable indicess,r,p, q.Results of local existence and uniqueness are proven in the case -1〈-s+2-2/r...
UNIVERSITYOFCALIFORNIASantaBarbaraStochastic2DNavier-StokesEquationandApplicationsto2DTurbulenceADissertationsubmittedinpartialsatisfactionoftherequirementsforthedegreeofDoctorofPhilosophyinMathematicsbyShahabKarimiCommitteeinCharge:ProfessorBjornBirnir,ChairProfessorJean-PierreFouqueProfessorGustavoPonceMarch2016TheDissertationof...
On controllability of 2D Navier-Stokes equation S´ergio S. Rodrigues University of Aveiro, Portugal & SISSA-ISAS, Trieste, Italy In collaboration with: Andrey A. Agrachev, SISSA, Trieste, Italy; Andrey V. Sarychev, DiMaD, University of Florence, Italy S´ ergio S. Rodrigues (UA & SI...
The Navier–Stokes system of partial differential equations (PDEs) contains the main conservation laws that universally describe the evolution of a fluid (liquid or gas). In this chapter, we describe step-by-step the implementation of a numerical methods solving this problem using second-order ...
摘要: It is proved that the attractor for the 2D Navier Stokes equations is a compact connected commutative group,the 2D Navier Stokes flow on this attractor possesses the ergodicity and the unique ergodicity,without mixing.关键词: D Navier Stokes equation attractor compact connected commutative ...
We consider the standard Navier-Stokes equations (NSE) 1 for incompress-ible (Newtonian) fluids: (NSE) u t ν + u · + = 0 · u = 0 in R n × (t 1 , t 2). We are interested in the following problem: (L) Is it possible to describe all global solutions of NSE in R n ...
Navier-Stokes方程组 1. In this paper, we consider the long time behavior of Navier-Stokes equations with linear damping on the whole plane. 本文考虑具线性阻尼Navier-Stokes方程组解的大时间性态。 2. The paper uses a high order method to solve incompressible viscous complex flows based on a ...
We study the long time behavior of the solution X ( t , s , x ) of a 2 D -Navier–Stokes equation subjected to a periodic time dependent forcing term. We prove in particular that as t , \mathbb E [ j ( X ( t , s , x ))] approaches a periodic orbit independently of s and...
摘要: Global exact controllability in arbitrary small time is established for the Navier-Stokes equations of incompressible fluids on any connected orientable compact Riemannian surface without boundary when the control is defined on an arbitrary nonempty open subset of the surface....
Multiscale finite element methodP-1/P-1 elementserror analysisthe transient Navier-Stokes equationsnumerical analysis2018, 2018 Informa UK Limited, trading as Taylor & Francis Group. A new multiscale finite element method for the two-dimensional (2D) transient Navier–Stokes equations is proposed in...