𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonlinear Instability for the Navier-Stokes Equations

✍ Scribed by Susan Friedlander; Nataša Pavlović; Roman Shvydkoy

Publisher
Springer
Year
2006
Tongue
English
Weight
181 KB
Volume
264
Category
Article
ISSN
0010-3616

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Nonlinear feedback controllers for the N
Nonlinear feedback controllers for the Navier–Stokes equations
✍ Adriana-Ioana Lefter 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 871 KB

In this paper we prove the feedback stabilization of the Navier–Stokes equations preserving the invariance of a given convex set. To this aim we first deduce an existence theorem concerning weak solutions for the Navier–Stokes system perturbed with a subdifferential.

Fourier nonlinear Galerkin approximation
Fourier nonlinear Galerkin approximation for the two dimensional Navier-Stokes equations
✍ Hou Yanren 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 439 KB

In this paper, for vtscous it~compressibte Navier-Stokes equauons ~lth permdic boundao" conditions, we prove ~he existence and umqueness of the sohttton corresponding to its Fourwr nonhnear Galerkm approxm~atton. At the same time. we give its error estbnates.

Pressure related instabilities of reduce
Pressure related instabilities of reduced Navier-Stokes equations for internal flows
✍ Armfield, S. W. ;Fletcher, C. A. J. 📂 Article 📅 1986 🏛 Wiley (John Wiley & Sons) 🌐 English ⚖ 385 KB

Order-of-magnitude deletion of the stream-wise diffusion terms leads to a reduced form of the Navier-Stokes equations. Solving the reduced equations for internal flows with single-sweep marching algorithms requires a severe minimum stream-wise step-size to avoid unstable solutions. This behaviour is