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Vanishing viscosity limit for a coupled Navier–Stokes/Allen–Cahn system

✍ Scribed by Liyun Zhao; Boling Guo; Haiyang Huang

Book ID
113721304
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
213 KB
Volume
384
Category
Article
ISSN
0022-247X

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On the vanishing viscosity limit for two
On the vanishing viscosity limit for two-dimensional Navier–Stokes equations with singlular initial data
✍ Carlo Marchioro 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 290 KB

## Abstract We study the solutions of the Navier–Stokes equations when the initial vorticity is concentrated in small disjoint regions of diameter ϵ. We prove that they converge, uniformily in ϵ. for vanishing viscosity to the corresponding solutions of the Euler equations and they are connected to