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Global weak solutions to the three-dimensional inviscid Boussinesq system in the presence of magnetic field

Zeitschrift fur Angewandte Mathematik und Physik, ISSN: 0044-2275, Vol: 70, Issue: 6
2019
  • 11
    Citations
  • 0
    Usage
  • 1
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    11
    • Citation Indexes
      11
  • Captures
    1

Article Description

In this paper, we consider the inviscid Boussinesq system in the presence of magnetic field in three space dimensions. We prove that the system admits infinitely many global weak solutions with large initial data. Our main tool is based on the convex integration method developed by De Lellis and Székelyhidi in the context of incompressible Euler system.

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