4.6 Article

Lagrangian-Eulerian methods for uniqueness in hydrodynamic systems

Journal

ADVANCES IN MATHEMATICS
Volume 278, Issue -, Pages 67-102

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2015.03.010

Keywords

Stokes equations; Navier-Stokes equations; Lagrangian methods; Uniqueness; Oldroyd-B; Magnetohydrodynamics

Categories

Funding

  1. NSF-DMS [1209394, 1265132]
  2. Direct For Mathematical & Physical Scien
  3. Division Of Mathematical Sciences [1209394, 1265132] Funding Source: National Science Foundation

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We present a Lagrangian-Eulerian strategy for proving uniqueness and local existence of solutions of limited smoothness for a class of incompressible hydrodynamic models including Oldroyd-B type complex fluid models and zero magnetic resistivity magneto-hydrodynamics equations. (C) 2015 Elsevier Inc. All rights reserved.

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