Regularity Of Suitable Weak Solutions Research Articles

On Partial Regularity of Suitable Weak Solutions to the Three-Dimensional Navier—Stokes equations

We prove a criterion of local Holder continuity for suitable weak solutions to the Navier—Stokes equations. One of the main part of the proof, based on a blow-up procedure, has quite general nature and can be applied to other problems in spaces of solenoidal vector fields.

Partial Regularity of Suitable Weak Solutions of Complex Ginzburg Landau Equations

(1999). Partial Regularity of Suitable Weak Solutions of Complex Ginzburg Landau Equations. Communications in Partial Differential Equations: Vol. 24, No. 11-12, pp. 390-393.

Partial regularity of the dynamic system modeling the flow of liquid crystals

Here we established the partial regularity of suitable weak solutions to the dynamical systems modelling the flow of liquid crystals. It is a natural generalization of an earlier work of Caffarelli-Kohn-Nirenberg on the Navier-Stokes system with some simplifications due to better estimates on the pressure term.

Partial regularity of suitable weak solutions of the navier‐stokes equations

Communications on Pure and Applied MathematicsVolume 35, Issue 6 p. 771-831 Article Partial regularity of suitable weak solutions of the navier-stokes equations L. Caffarelli, L. CaffarelliSearch for more papers by this authorR. Kohn, R. KohnSearch for more papers by this authorL. Nirenberg, L. NirenbergSearch for more papers by this author L. Caffarelli, L. CaffarelliSearch for more papers by this authorR. Kohn, R. KohnSearch for more papers by this authorL. Nirenberg, L. NirenbergSearch for more papers by this author First published: November 1982 https://doi.org/10.1002/cpa.3160350604Citations: 873AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Citing Literature Volume35, Issue6November 1982Pages 771-831 RelatedInformation