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: Euler equations | Statement: [Perturbation Methods in Fluid Mechanics, appliesTo, Euler equations]

Target entity: Euler equations
Context triple: [Perturbation Methods in Fluid Mechanics, appliesTo, Euler equations]

• A. Euler equations chosen
  The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
• B. Navier–Stokes equations
  The Navier–Stokes equations are fundamental partial differential equations in fluid mechanics that describe how the velocity field of a fluid evolves under forces like pressure and viscosity.
• C. Euler–Poisson equations
  The Euler–Poisson equations are a system of differential equations in rigid body dynamics that describe the rotational motion of a rigid body with a fixed point under the influence of external forces such as gravity.
• D. Navier–Cauchy equations
  The Navier–Cauchy equations are the fundamental partial differential equations in linear elasticity that describe how stresses and displacements are related within deformable solid materials.
• E. Landau–Lifshitz equations
  The Landau–Lifshitz equations are fundamental differential equations in theoretical physics that describe the dynamics of magnetization in ferromagnets and, more broadly, the behavior of fields in relativistic and nonrelativistic continuum theories.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.