@vgmlr · 20d
E = ∫ [ ρ|v|²/(4β) + β|∇√ρ|² + U(ρ) + V_edge·ρ ] dV
U(ρ) = −(g₁/3)·ρ³ − k·ρ_max·[ρ/ρ_max + ln(1−ρ/ρ_max)]
μ(ρ) = dU/dρ = −g₁·ρ² + k·ρ/(ρ_max − ρ)
∂ρ/∂t + ∇·(ρv) = 0
∂v/∂t + (v·∇)v = −2β·∇[ μ(ρ) + V_edge − β·∇²√ρ/√ρ ]
v = 2β·∇θ, ∮v·dl = 4πβ·n, n whole
#rft (v.197.026.1[beta])
E = ∫ [ ρ|v|²/(4β) + β|∇√ρ|² + U(ρ) + V_edge·ρ ] dV
U(ρ) = −(g₁/3)·ρ³ − k·ρ_max·[ρ/ρ_max + ln(1−ρ/ρ_max)]
μ(ρ) = dU/dρ = −g₁·ρ² + k·ρ/(ρ_max − ρ)
∂ρ/∂t + ∇·(ρv) = 0
∂v/∂t + (v·∇)v = −2β·∇[ μ(ρ) + V_edge − β·∇²√ρ/√ρ ]
v = 2β·∇θ, ∮v·dl = 4πβ·n, n whole
#rft (v.197.026.1[beta])
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