Applications of Bourgain-Brézis inequalities to fluid mechanics and magnetism

Sagun Chanillo, Jean Van Schaftingen, Po Lam Yung

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

As a consequence of inequalities due to Bourgain-Brézis, we obtain local-in-time well-posedness for the two-dimensional Navier-Stokes equation with velocity bounded in spacetime and initial vorticity in bounded variation. We also obtain spacetime estimates for the magnetic field vector through improved Strichartz inequalities.

Original languageEnglish (US)
Pages (from-to)51-55
Number of pages5
JournalComptes Rendus Mathematique
Volume354
Issue number1
DOIs
StatePublished - Jan 1 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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