Библиография

1. 1. Baiesi M., Maes C. Enstrophy dissipation in two-dimensional turbulence // Phys. Rev. E. 2005. V. 72.№5. P. 056314. https://doi.org/10.1103/PhysRevE.72.056314
2. 2. Matharu P., Protas B., and Yoneda T. On Maximum Enstrophy Dissipation in 2D Navier–Stokes Flows in the Limit of Vanishing Viscosity // Physica D: Nonlinear Phenomena. 2022. V. 441. P. 133517. https://doi.org/10.1016/j.physd.2022.133517
3. 3. Wu J.Z., Wu J.M. Interactions between a solid surface and a viscous compressible flow field // J. Fluid Mech. 1993. V. 254. P. 183–211. https://doi.org/10.1017/S0022112093002083
4. 4. Weiss J. The dynamics of enstrophy transfer in two-dimensional hydrodynamics// Physica D: Nonlinear Phenomena. 1991. V. 48.№2–3. P. 273–294. https://doi.org/10.1016/0167-2789 (91)90088-Q
5. 5. Wu J.Z. A theory of three-dimensional interfacial vorticity dynamics // Phys. Fluids. 1995. V. 7.№10. P. 2375–2395.
6. 6. Chen T., Liu T., and Wang L.P. Features of surface physical quantities and temporal-spatial evolution of wall-normal enstrophy flux in wall-bounded flows // Phys. Fluids. 2021. V. 33№12. P. 125104.
7. 7. Foias C., Temam R. Gevrey class regularity for the solutions of the Navier-Stokes equations // Journal of Functional Analysis. 1989. V. 87. P. 359–369.
8. 8. Doering C.R., Gibbon J.D. Applied Analysis of the Navier-Stokes Equations. Cambridge University Press, New York, 1995. 240 p.
9. 9. Tennekes H., Lumley J.L. A First Course in Turbulence. The MIT Press, 1972. 310 p.
10. 10. Wang Z., Luo K., Tan J., Li D., and Fan J. Similarity of dissipation and enstrophy in particle-induced small-scale turbulence // Phys. Rev. Fluids. 2020. V. 5.№1. P. 014301. https://doi.org/10.1103/PhysRevFluids.5.014301
11. 11. Бэтчелор Дж. Введение в динамику жидкости. М.: Мир, 1973. 778 с.
12. 12. Zhu Y.U., Antonia R.A. On the Correlation between Enstrophy and Energy Dissipation Rate in a Turbulent Wake // Appl. Sci. Research. 1997. V. 57. P. 337–347.
13. 13. Koh Y.M. Vorticity and viscous dissipation in an incompressible flow // KSME Journal. 1994. V. 8. P. 35–42. https://doi.org/10.1007/BF02953241
14. 14. Karman Th. von. The fundamentals of the statistical theory of turbulence // J. Aeronaut. Sc. 1937. V. 4. № 4. P. 131–188. https://doi.org/10.2514/8.350
15. 15. Taylor G.I. Production and Dissipation of Vorticity in a Turbulent Fluid // Proc. Roy. Soc. 1938. V. 164. № 916. P. 15–23.
16. 16. Горшков А.В. Об однозначной разрешимости задачи дивергенция-ротор в неограниченных областях и энергетических оценках решений // ТМФ. 2024. Т. 221.№2. С. 240–254.
17. 17. Горшков А.В. Специальное преобразование Вебера с ненулевым ядром // Матем. заметки. 2023. Т. 114.№2. С. 212–228.
18. 18. Лионс Ж.-Л., Мадженес Э. Неоднородные граничные задачи и их приложения. М.: Мир, 1971. 371 с.
19. 19. Calderon A.P., Zygmund A. On singular integrals. American Journal of Mathematics // The Johns Hopkins University Press. 1956. V. 78.№2. P. 289–309.