Articles — Lectures
The notebook, published.
Full derivations and practical guides from my research notes. Each opens as a standalone lecture page with rendered mathematics.
- A-01Navier–Stokes from First PrincipleslectureConservation of mass and momentum, stress tensors, and incompressibility — the full derivation, term by term.Fluid dynamicsDerivation
- A-02The Shallow-Water EquationslectureFrom Navier–Stokes to shallow water: hydrostatic balance, scaling arguments, and the kinematic boundary condition.GFDDerivation
- A-03Quasi-Geostrophic Shallow WaterlectureRossby numbers, geostrophic balance, and potential vorticity — deriving the QGSW model used across my research.QGSWDerivation
- A-04QGSW on the SpherelectureSpherical coordinates, unit vectors, and the primitive equations — extending QGSW to global geometry.QGSWSpherical geometry
- A-05Installing MITgcmnotesA practical walkthrough of dependencies, build configuration, and first runs of the MIT General Circulation Model.MITgcmGuide
- A-06Understanding MITgcmnotesModel anatomy: packages, verification experiments, and how the source tree maps to the physics.MITgcmGuide
// Archive pages retain their original lecture styling.