Jean-Marie Souriau Theorem: Take a Lie group, consider its coadjoint orbit (action of the group on the dual Lie Algebra via coadjoint operator), you find a symplectic manifold ! https://lnkd.in/eHFCKSdm Souriau Lie Group Thermodynamics: Consider the heat as an element of dual Lie algebra and (planck) Temperature as an element of Lie algebra, then the coadoint orbit of the Lie group, acting on the thermodynamics system, generates a symplectic foliation that is Entropy Level sets. Entropy is defined purely geometrically as invariant Casimir function on symplectic leaves ! https://lnkd.in/eEHfC7rX
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One of the best videos I always love to watch to refresh my understanding , also it's perfect for anyone starting out and interested in fluid mechanics. It provides a clear explanation of the subject, including the magic of the Navier-Stokes equations and Turbulence. I highly recommend watching it! #FluidDynamics #FluidMechanics #Turbulence #CFD https://lnkd.in/evJahdmD
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Fracture and Structural Integrity (January 2025 issue) Revisiting classical concepts of Linear Elastic Fracture Mechanics - Part III: The stress field in a double-edge notched finite strip by means of the “stress-neutralization” technique C. F. Markides, S. K. Kourkoulis Visual Abstract: https://lnkd.in/dtJSzRrE DOI: https://lnkd.in/dsTEm-C2
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