EQUATION REGISTRY

Compression-positive density

Chapter 4 η corresponds to σ here; neither is the inertial coefficient ρs.

Theory · FOUNDATIONEquation version 1.0.0

Based on the final manuscript · Chapters 4 and 5

ASD-WEB-SD-003
s=∇⋅u,σ=−∇⋅uL=−s,ns−ns,0ns,0=σ+O(∣∇u∣2)s=\nabla\cdot\mathbf u,\quad\sigma=-\nabla\cdot\mathbf u_L=-s,\quad\frac{n_s-n_{s,0}}{n_{s,0}}=\sigma+O(|\nabla\mathbf u|^2)

Chapter 4 η corresponds to σ here; neither is the inertial coefficient ρs.
Chapter reference: Ch. 4 (4.14); Ch. 5 (5.4.5) · ASD-BOOK-ddbade997b45

Source and ID

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Adopted source, conditions and previous versions

Ch. 4 (4.14); Ch. 5 (5.4.5)

Registered formula checked individually against the final manuscript; explicit finite-density linearization remainder

Conditions retained in this adoption

  • Chapter 4 η corresponds to σ here; neither is the inertial coefficient ρs.

Source locators: p1342–1343 · p2028

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

SD-51779505a476 · Ch. 4 (4.14); Ch. 5 (5.4.5)

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