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<p>In this paper we prove the existence of splash singularities, namely points where the boundary remains smooth but self-intersects, for the 2D Boussinesq system with zero thermal diffusivity. The result is obtained by combining the local existence and stability theorems.</p>

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SPLASH SINGULARITIES FOR THE VISCOUS 2D BOUSSINESQ EQUATIONS WITH ZERO THERMAL DIFFUSIVITY

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  • 出版模式：

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  • 发表日期：

    2025年11月26日

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  • Elena Di Iorio,
  • Pierangelo Marcati,
  • Stefano Spirito

摘要

In this paper we prove the existence of splash singularities, namely points where the boundary remains smooth but self-intersects, for the 2D Boussinesq system with zero thermal diffusivity. The result is obtained by combining the local existence and stability theorems.