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Can I read On partial regularity for weak solutions to the Navier–Stokes equations on EtoBox?
On partial regularity for weak solutions to the Navier–Stokes equations by Cheng He is a Mathematics article available to read on EtoBox.
What is On partial regularity for weak solutions to the Navier–Stokes equations about?
In this paper, we study the partial regularity of the general weak solution uAL N ð0; T; L 2 ðOÞÞ-L 2 ð0; T; H 1 ðOÞÞ to the Navier-Stokes equations, which include the well-known Leray-Hopf weak solutions. It is shown that there is a absolute constant e such that for the weak solution u; if either the scaled local L q ð1pqp2Þ norm of the gradient of the solution, or the scaled local L q ð1pqp 10 3 ) norm of u is less than e; then u is locally bounded. This implies that the one-dimensional Hausdorff measure is zero for the possible singular point set, which extends the corresponding result due to Caffarelli et al. (Comm. Pure Appl. Math. 35 (1982) 717) to more general weak solution.
Who reads On partial regularity for weak solutions to the Navier–Stokes equations?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Cheng He
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)
- Published
- 2004
- Language
- EN
- Field
- Mathematics (Physical Sciences)