## 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
✦ LIBER ✦
Space Analyticity for the Navier–Stokes and Related Equations with Initial Data inLp
✍ Scribed by Zoran Grujić; Igor Kukavica
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 414 KB
- Volume
- 152
- Category
- Article
- ISSN
- 0022-1236
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## Abstract In this paper, we prove global well‐posedness for compressible Navier‐Stokes equations in the critical functional framework with the initial data close to a stable equilibrium. This result allows us to construct global solutions for the highly oscillating initial velocity. The proof rel