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Regular and Singular Steady States of the 2D Incompressible Euler Equations near the Bahouri–Chemin Patch

Publication ,  Journal Article
Elgindi, TM; Huang, Y
Published in: Archive for Rational Mechanics and Analysis
February 1, 2025

We consider steady states of the two-dimensional incompressible Euler equations on T2 and construct smooth and singular steady states around a particular singular steady state. More precisely, we construct families of smooth and singular steady solutions that converge to the Bahouri–Chemin patch.

Duke Scholars

Published In

Archive for Rational Mechanics and Analysis

DOI

EISSN

1432-0673

ISSN

0003-9527

Publication Date

February 1, 2025

Volume

249

Issue

1

Related Subject Headings

  • General Physics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

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ICMJE
MLA
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Elgindi, T. M., & Huang, Y. (2025). Regular and Singular Steady States of the 2D Incompressible Euler Equations near the Bahouri–Chemin Patch. Archive for Rational Mechanics and Analysis, 249(1). https://doi.org/10.1007/s00205-024-02077-6
Elgindi, T. M., and Y. Huang. “Regular and Singular Steady States of the 2D Incompressible Euler Equations near the Bahouri–Chemin Patch.” Archive for Rational Mechanics and Analysis 249, no. 1 (February 1, 2025). https://doi.org/10.1007/s00205-024-02077-6.
Elgindi TM, Huang Y. Regular and Singular Steady States of the 2D Incompressible Euler Equations near the Bahouri–Chemin Patch. Archive for Rational Mechanics and Analysis. 2025 Feb 1;249(1).
Elgindi, T. M., and Y. Huang. “Regular and Singular Steady States of the 2D Incompressible Euler Equations near the Bahouri–Chemin Patch.” Archive for Rational Mechanics and Analysis, vol. 249, no. 1, Feb. 2025. Scopus, doi:10.1007/s00205-024-02077-6.
Elgindi TM, Huang Y. Regular and Singular Steady States of the 2D Incompressible Euler Equations near the Bahouri–Chemin Patch. Archive for Rational Mechanics and Analysis. 2025 Feb 1;249(1).
Journal cover image

Published In

Archive for Rational Mechanics and Analysis

DOI

EISSN

1432-0673

ISSN

0003-9527

Publication Date

February 1, 2025

Volume

249

Issue

1

Related Subject Headings

  • General Physics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics