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September 22, 2025Transactions of the American Mathematical Society

Removable singularity of (-1)-homogeneous solutions of stationary Navier-Stokes equations

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Authors

LLLi LiSinopec (China)YLYanyan LiShandong UniversityXYXukai Yan

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Overview

This analysis reveals the behavior of removable singularities in stationary Navier-Stokes equations, suggesting optimal extension conditions.

Key Points

  • Local (-1)-homogeneous solutions can be smoothly extended across singular rays from the origin.
  • Any local (-1)-homogeneous solution near a singular ray behaves optimally under specific conditions.
  • The analysis uses mathematical proofs to understand stationary Navier-Stokes equations in three-dimensional space.
  • The existence of solutions with multiple singular points indicates complex behaviors in the Navier-Stokes framework.

Cite This Study

Li et al. (2025) studied this question.

synapsesocial.com/papers/68d46fdc31b076d99fa6a6d6https://doi.org/10.1090/tran/9533
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