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Sponsored Design Multi-Agent AI Systems Using MCP and A2A: Engineer your own Pyt Design Multi-Agent AI Systems Using MCP and A2A: Engineer your own Pyt

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Kuniyuki Hayashi

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#diffusion models Open access Oct 2026

Hayashi–Navier–Stokes Formulation: A Unified Description of Higher Angular Modes, Unresolved Degrees of Freedom, and Memory in Kinetic Hydrodynamics

This preprint reformulates the Navier–Stokes viscosity as the effective response that remains after coarse-graining the higher angular modes and unresolved degrees of freedom of the molecular velocity distribution. Using a spherical-harmonic expansion in velocity space and a P/Q projection (P = Pl≤4, Q = I − P), elimin...

Kuniyuki Hayashi · 0 citations
#diffusion models Open access Oct 2026

Hayashi–Navier–Stokes Formulation: A Unified Description of Higher Angular Modes, Unresolved Degrees of Freedom, and Memory in Kinetic Hydrodynamics

This preprint reformulates the Navier–Stokes viscosity as the effective response that remains after coarse-graining the higher angular modes and unresolved degrees of freedom of the molecular velocity distribution. Using a spherical-harmonic expansion in velocity space and a P/Q projection (P = Pl≤4, Q = I − P), elimin...

Kuniyuki Hayashi · 0 citations

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