5 C1,α-regularity for steady flows of non-Newtonian fluids in 2D

Cholmin Sin; Evgenii S. Baranovskii

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5 C^1,α-regularity for steady flows of non-Newtonian fluids in 2D

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Ein Kapitel aus dem Buch Regularity Theory for Generalized Navier–Stokes Equations

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Sin, Cholmin and Baranovskii, Evgenii S.. "5 C^1,α-regularity for steady flows of non-Newtonian fluids in 2D". Regularity Theory for Generalized Navier–Stokes Equations: Non-Newtonian Fluids with Variable Power-Law, Berlin, Boston: De Gruyter, 2025, pp. 199-218. https://doi.org/10.1515/9783111508900-005

Sin, C. & Baranovskii, E. (2025). 5 C^1,α-regularity for steady flows of non-Newtonian fluids in 2D. In Regularity Theory for Generalized Navier–Stokes Equations: Non-Newtonian Fluids with Variable Power-Law (pp. 199-218). Berlin, Boston: De Gruyter. https://doi.org/10.1515/9783111508900-005

Sin, C. and Baranovskii, E. 2025. 5 C^1,α-regularity for steady flows of non-Newtonian fluids in 2D. Regularity Theory for Generalized Navier–Stokes Equations: Non-Newtonian Fluids with Variable Power-Law. Berlin, Boston: De Gruyter, pp. 199-218. https://doi.org/10.1515/9783111508900-005

Sin, Cholmin and Baranovskii, Evgenii S.. "5 C^1,α-regularity for steady flows of non-Newtonian fluids in 2D" In Regularity Theory for Generalized Navier–Stokes Equations: Non-Newtonian Fluids with Variable Power-Law, 199-218. Berlin, Boston: De Gruyter, 2025. https://doi.org/10.1515/9783111508900-005

Sin C, Baranovskii E. 5 C^1,α-regularity for steady flows of non-Newtonian fluids in 2D. In: Regularity Theory for Generalized Navier–Stokes Equations: Non-Newtonian Fluids with Variable Power-Law. Berlin, Boston: De Gruyter; 2025. p.199-218. https://doi.org/10.1515/9783111508900-005

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Kapitel in diesem Buch

Frontmatter I
Preface V
Contents IX
1 Motivation and preliminaries 1
2 Existence and higher integrability for steady flows of non-Newtonian fluids 56
3 Higher differentiability for steady flows of non-Newtonian fluids 79
4 Partial regularity for steady flows of non-Newtonian fluids in 3D 134
5 C^1,α-regularity for steady flows of non-Newtonian fluids in 2D 199
6 Calderon–Zygmund estimate for steady flows of non-Newtonian fluids 219
7 Hölder continuity for 2D unsteady flows of non-Newtonian fluids 242
A Standard notations 273
Bibliography 277
Index 297

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https://doi.org/10.1515/9783111508900-005

Kapitel in diesem Buch

Frontmatter I
Preface V
Contents IX
1 Motivation and preliminaries 1
2 Existence and higher integrability for steady flows of non-Newtonian fluids 56
3 Higher differentiability for steady flows of non-Newtonian fluids 79
4 Partial regularity for steady flows of non-Newtonian fluids in 3D 134
5 C^1,α-regularity for steady flows of non-Newtonian fluids in 2D 199
6 Calderon–Zygmund estimate for steady flows of non-Newtonian fluids 219
7 Hölder continuity for 2D unsteady flows of non-Newtonian fluids 242
A Standard notations 273
Bibliography 277
Index 297

5 C1,α-regularity for steady flows of non-Newtonian fluids in 2D

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5 C^1,α-regularity for steady flows of non-Newtonian fluids in 2D