Applications of Bourgain-Brézis inequalities to fluid mechanics and magnetism

Sagun Chanillo, Jean Van Schaftingen, Po Lam Yung

Research output: Contribution to journalArticle

3 Citations (Scopus)

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

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Magnetism
Fluid Mechanics
Space-time
Bounded variation
Vorticity
Well-posedness
Navier-Stokes Equations
Magnetic Field
Estimate

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Chanillo, Sagun ; Van Schaftingen, Jean ; Yung, Po Lam. / Applications of Bourgain-Brézis inequalities to fluid mechanics and magnetism. In: Comptes Rendus Mathematique. 2016 ; Vol. 354, No. 1. pp. 51-55.
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Applications of Bourgain-Brézis inequalities to fluid mechanics and magnetism. / Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po Lam.

In: Comptes Rendus Mathematique, Vol. 354, No. 1, 01.01.2016, p. 51-55.

Research output: Contribution to journalArticle

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