Applications of Bourgain–Brézis inequalities to fluid mechanics and magnetism
(2016) Comptes rendus - Mathématique — Vol. 354, n° 1, p. 51-55 (2016)
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- 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.
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Chanillo, S., Van Schaftingen, J., & Yung, P.-L. (2016). Applications of Bourgain–Brézis inequalities to fluid mechanics and magnetism. Comptes rendus - Mathématique, 354(1), 51-55. https://doi.org/10.1016/j.crma.2015.10.005 (Original work published 2016)