Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Prandtl–Batchelor theorem | Statement: [Ludwig Prandtl, notableFor, 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