remark 31.52 Similarity is only as good as the control of the data

Rests on

• depends_on phenomenon 31.49 Dynamical similarity ¶
  • depends_on theorem 31.37 The Navier–Stokes equations ¶
    • depends_on theorem 31.36 The Newtonian constitutive relation ¶
      • depends_on definition 31.32 Newtonian fluid; dynamic and kinematic viscosity ¶
        • depends_on definition 31.1 Fluid ¶
        • depends_on definition 31.8 Rate of strain and vorticity ¶
      • depends_on proposition 31.9 Cauchy–Stokes decomposition ¶
        • depends_on definition 31.8 Rate of strain and vorticity ¶ ↺
        • proves proof ch:14-fluid-dynamics@proof-3 ¶
      • proves proof ch:14-fluid-dynamics@proof-17 ¶
    • depends_on theorem 31.22 Euler's equations of motion ¶
      • depends_on definition 31.21 Ideal fluid ¶
        • depends_on definition 31.1 Fluid ¶ ↺
      • depends_on lemma 31.11 Transport theorem for a material volume ¶
        • depends_on definition 31.4 Material derivative ¶
        • depends_on theorem 7.133 Gauss ¶
        • proves proof ch:14-fluid-dynamics@proof-4 ¶
      • depends_on theorem 30.21 Cauchy's equation of motion ¶
        • depends_on theorem 7.133 Gauss ¶ ↺
        • depends_on theorem 30.18 Cauchy: the stress tensor exists ¶
        • proves proof ch:13-continuum-elasticity@proof-9 ¶
      • proves proof ch:14-fluid-dynamics@proof-11 ¶
    • proves proof ch:14-fluid-dynamics@proof-18 ¶
  • proves proof ch:14-fluid-dynamics@proof-24 ¶

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