On the global well-posedness of the Boussinesq system with zero viscosity

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Abstract

In this paper we prove the global well-posedness of the two-dimensional Boussinesq system, with zero viscosity and strictly positive conductivity, for rough initial data.

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Hmidi, T., & Keraani, S. (2009). On the global well-posedness of the Boussinesq system with zero viscosity. Indiana University Mathematics Journal, 58(4), 1591–1618. https://doi.org/10.1512/iumj.2009.58.3590

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