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In this chapter, we will consider local and global in time strong solutions to the variable density Navier-Stokes equations. Roughly speaking, we mean by this triplets \(\{{\mathbf {u}},\rho ,p\}\) that satisfy the PDEs almost everywhere and not only in the weak (distributional) sense.

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Strong Solutions, Regularity and Uniqueness

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  • 发表日期：

    2026年

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  • Pablo Braz e Silva,
  • Enrique Fernandez-Cara,
  • Marko Antonio Rojas-Medar

摘要

In this chapter, we will consider local and global in time strong solutions to the variable density Navier-Stokes equations. Roughly speaking, we mean by this triplets \(\{{\mathbf {u}},\rho ,p\}\) that satisfy the PDEs almost everywhere and not only in the weak (distributional) sense.