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Global existence of weak solutions to a nonlocal Cahn–Hilliard–Navier–Stokes system

✍ Scribed by Pierluigi Colli; Sergio Frigeri; Maurizio Grasselli


Book ID
113721491
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
253 KB
Volume
386
Category
Article
ISSN
0022-247X

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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