Prandtl–Batchelor theorem

Target entity: Prandtl–Batchelor theorem
Context triple: [Ludwig Prandtl, notableFor, Prandtl–Batchelor theorem]

• A. Taylor–Proudman theorem
  The Taylor–Proudman theorem is a fundamental result in geophysical fluid dynamics stating that in a rapidly rotating, inviscid, incompressible fluid, steady flows tend to be uniform along the axis of rotation, leading to columnar motion.
• B. Kolmogorov spectrum of turbulence
  The Kolmogorov spectrum of turbulence is a fundamental theory in fluid dynamics that predicts how kinetic energy is distributed across different scales in fully developed turbulent flow, most famously yielding the −5/3 power law for the inertial subrange.
• C. The Theory of Homogeneous Turbulence
  The Theory of Homogeneous Turbulence is a classic monograph in fluid dynamics that provides a rigorous mathematical treatment of statistically uniform turbulent flows.
• D. The Structure of Turbulent Shear Flow
  The Structure of Turbulent Shear Flow is a foundational scholarly work in fluid mechanics that analyzes the behavior, organization, and modeling of turbulence in shear flows.
• E. Bjerknes circulation theorem (applications in meteorology)
  The Bjerknes circulation theorem is a fundamental principle in meteorology that relates changes in atmospheric circulation to forces such as pressure gradients and heating, forming a basis for understanding large-scale weather systems and cyclogenesis.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Prandtl–Batchelor theorem
Target entity description: The Prandtl–Batchelor theorem is a result in fluid dynamics that characterizes the uniform vorticity distribution in regions of closed streamlines at high Reynolds numbers.

• A. Taylor–Proudman theorem
  The Taylor–Proudman theorem is a fundamental result in geophysical fluid dynamics stating that in a rapidly rotating, inviscid, incompressible fluid, steady flows tend to be uniform along the axis of rotation, leading to columnar motion.
• B. Kolmogorov spectrum of turbulence
  The Kolmogorov spectrum of turbulence is a fundamental theory in fluid dynamics that predicts how kinetic energy is distributed across different scales in fully developed turbulent flow, most famously yielding the −5/3 power law for the inertial subrange.
• C. The Theory of Homogeneous Turbulence
  The Theory of Homogeneous Turbulence is a classic monograph in fluid dynamics that provides a rigorous mathematical treatment of statistically uniform turbulent flows.
• D. The Structure of Turbulent Shear Flow
  The Structure of Turbulent Shear Flow is a foundational scholarly work in fluid mechanics that analyzes the behavior, organization, and modeling of turbulence in shear flows.
• E. Bjerknes circulation theorem (applications in meteorology)
  The Bjerknes circulation theorem is a fundamental principle in meteorology that relates changes in atmospheric circulation to forces such as pressure gradients and heating, forming a basis for understanding large-scale weather systems and cyclogenesis.
• F. None of above. chosen