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On the Smoothness of a Class of Weak Solutions to the Navier—Stokes equations

✍ Scribed by H. Beirao da Veiga


Publisher
Springer
Year
2000
Tongue
English
Weight
310 KB
Volume
2
Category
Article
ISSN
1422-6928

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📜 SIMILAR VOLUMES


Existence and Regularity of a Class of W
✍ Cheng He 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 241 KB

We construct a class of weak solutions to the Navier᎐Stokes equations, which have second order spatial derivatives and one order time derivatives, of p power s Ž 2, r Ž .. summability for 1p F 5r4. Meanwhile, we show that u g L 0, T ; W ⍀ with 1rs q 3r2 r s 2 for 1r F 5r4. r can be relaxed not to ex