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The book explores turbulence theory through the vorticity field, emphasizing its natural fit for incompressible flow. It highlights the historical contributions of Onsager and Joyce and Montgomery to two-dimensional vortex systems, while acknowledging the ongoing challenges in developing a robust three-dimensional theory. The initial chapters provide a foundational overview of homogeneous turbulence, including a detailed review of fluid mechanics and Fourier theory, and discuss Kolmogorov's inertial range theory, suggesting a potential equilibrium spectrum for the inertial spectrum.
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Vorticity and Turbulence, Alexandre Chorin
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- 2013
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