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A continuum mechanical theory for turbulence: a generalized Navier–Stokes-αequation with boundary conditions

✍ Scribed by Eliot Fried; Morton E. Gurtin


Publisher
Springer
Year
2008
Tongue
English
Weight
662 KB
Volume
22
Category
Article
ISSN
0935-4964

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On regularity of a weak solution to the
✍ Jiří Neustupa; Patrick Penel 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 284 KB

We consider the 3D Navier-Stokes equation with generalized impermeability boundary conditions. As auxiliary results, we prove the local in time existence of a strong solution ('strong' in a limited sense) and a theorem on structure. Then, taking advantage of the boundary conditions, we formulate suf