Lectures related to Laplacian: Basics and Examples

Covers the definitions of gradient and divergence, including the Cartesian coordinate system and the divergence theorem.

Covers the Laplace and Poisson equations, the heat equation, and the wave equation in physics.

Covers the Fourier law, heat equation, Righi-Leduc effect, and related experiments.

Covers free propagation and the heat equation solution, discussing momentum preservation and Fourier multipliers.

Covers the modeling of the heat equation using Laplacian operator and Riemann varieties.

Explores automorphic kernels and their role in solving the heat equation.

Explores the heat equation, equilibrium equations, heat flux, and harmonic functions in heat distribution.