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Applications of Bourgain–Brézis inequalities to fluid mechanics and magnetism

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Chanillo, Sagun [Rutgers University] Van Schaftingen, Jean [UCL] Yung, Po-Lam [City University of Hong Kong]

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.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2016
Language Anglais
Journal information "Comptes rendus - Mathématique" - Vol. 354, no.1, p. 51-55 (2016)
Peer reviewed yes
Publisher Elsevier (Issy les Moulineaux)
issn 1631-073X
e-issn 1778-3569
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Links
Bibliographic reference Chanillo, Sagun ; Van Schaftingen, Jean ; Yung, Po-Lam. Applications of Bourgain–Brézis inequalities to fluid mechanics and magnetism. In: Comptes rendus - Mathématique, Vol. 354, no.1, p. 51-55 (2016)
Permanent URL http://hdl.handle.net/2078.1/169283