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A Simple Proof of Existence of Weak and Statistical Solutions of Navier-Stokes Equations

✍ Scribed by Capinski, M.; Cutland, N.


Book ID
120149547
Publisher
The Royal Society
Year
1992
Tongue
English
Weight
383 KB
Volume
436
Category
Article
ISSN
0962-8444

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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