𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations

✍ Scribed by Luigi Ambrosio; Alessio Figalli

Publisher
Springer
Year
2007
Tongue
English
Weight
191 KB
Volume
31
Category
Article
ISSN
0944-2669

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Interior regularity criterion via pressu
Interior regularity criterion via pressure on weak solutions to the Navier–Stokes equations
✍ Tomoyuki Suzuki 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 158 KB 👁 2 views

## Abstract Consider the nonstationary Navier–Stokes equations in Ω × (0, __T__), where Ω is a bounded domain in ℝ^3^. We prove interior regularity for suitable weak solutions under some condition on the pressure in the class of scaling invariance. The notion of suitable weak solutions makes it pos

On the nonuniqueness of weak solution of
On the nonuniqueness of weak solution of the Euler equation
✍ A. Shnirelman 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 269 KB 👁 2 views

Weak solution of the Euler equations is defined as an L 2 -vector field satisfying the integral relations expressing the mass and momentum balance. Their general nature has been quite unclear. In this work an example of a weak solution on a 2-dimensional torus is constructed that is identically zero