𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Remark on the Rate of Decay of Higher Order Derivatives for Solutions to the Navier–Stokes Equations in Rn

✍ Scribed by Marcel Oliver; Edriss S. Titi

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
153 KB
Volume
172
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A remark on the decay of solutions to th
A remark on the decay of solutions to the 3-D Navier–Stokes equations
✍ Yong Zhou 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 98 KB 👁 1 views

## Abstract In this paper we derive a decay rate of the __L__^2^‐norm of the solution to the 3‐D Navier–Stokes equations. Although the result which is proved by Fourier splitting method is well known, our method is new, concise and direct. Moreover, it turns out that the new method established here

The Decay Rates of Strong Solutions for
The Decay Rates of Strong Solutions for Navier–Stokes Equations
✍ Cheng He; Ling Hsiao 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 80 KB

In this paper, we deduce the estimates on decay rates of higher order derivatives about time variable and space variables for the strong solution to the Cauchy problem of the Navier᎐Stokes equations. The rate obtained is optimal in the sense that it coincides with that of solution to the heat equati

A remark on the Lipschitz estimates of s
A remark on the Lipschitz estimates of solutions to Navier–Stokes equations
✍ Gang Wu; Bo Zhang 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 135 KB 👁 2 views

In this paper, we establish a constant-type growth estimate in the Lipschitz norm of solutions to the 2D Navier-Stokes equations with fractional diffusion and a polynomial-type growth estimate of solutions to the 3D axisymmetric Navier-Stokes equations.

On the existence of finite energy weak s
On the existence of finite energy weak solutions to the Navier–Stokes equations in irregular domains
✍ Peter Kukučka 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 201 KB 👁 1 views

## Abstract This paper studies the existence of weak solutions of the Navier–Stokes system defined on a certain class of domains in ℝ^3^ that may contain cusps. The concept of such a domain and weak energy solution for the system is defined and its existence is proved. However, thinness of cusps mu