Lagrangian-eulerian methods for uniqueness in hydrodynamic systems

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)67-102
Number of pages36
JournalAdvances in Mathematics
Volume278
DOIs
StatePublished - Jun 5 2015

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

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

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