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<p>In this paper, we investigate the global well-posedness of 2D Boussinesq system, which has variable kinematic viscosity yet without thermal conductivity and buoyancy force, provided that the viscosity coefficient is sufficiently close to some positive constant in <i>L</i><sup>∞</sup>. In addition, as a product, we prove the large time behavior of the velocity fields.</p>

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Global Well-posedness for the 2D Boussinesq System with Variable Viscosity

  • 期刊论文

  • 发表日期：

    2025年5月28日

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  • Dong-juan Niu,
  • Lu Wang

摘要

In this paper, we investigate the global well-posedness of 2D Boussinesq system, which has variable kinematic viscosity yet without thermal conductivity and buoyancy force, provided that the viscosity coefficient is sufficiently close to some positive constant in L∞. In addition, as a product, we prove the large time behavior of the velocity fields.