Poisson & Laplace Equations: Understanding Electrostatics

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Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.

Covers the theoretical study of Elliptic Partial Differential Equations, including electrostatics and advection-diffusion-reaction equations.

Explores ion crystals, conductors, and Poisson/Laplace equations in electrostatics, including charge behavior and energy calculations.

Covers the concept of Green's functions in Laplace equations and their solution construction process.

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

Covers electrostatics, Coulomb force, electric field calculations, potential, Gauss's law, conductor behavior, and field line representation.

Explores charge distributions, conductor properties, and the concept of a Faraday cage in electrostatics.

Discusses electrostatics, Green's functions, and the application of complex analysis in deriving potentials.