Lectures related to Poisson & Laplace Equations: Understanding Electrostatics

Fundamental Solutions of Laplace Equation

Explores fundamental solutions, Green's formula, distributions, and convergence in Laplace equation.

Magnetostatics: B/E Relation and Vector Potential

Discusses the magnetic field induced by a moving charge and the vector potential of a magnetic field, along with Maxwell's equations and the Poisson equations.

Linear PDEs of Order 2

Covers linear PDEs of order 2, focusing on elliptic second-order PDEs and boundary conditions.

Basic Potential Flows: Sources, Sinks, and Vortices

Covers the concept of basic potential flows, including sources, sinks, and vortices.

Laplace Equation: Decomposition and Solutions

Covers the Laplace equation, decomposition of linear problems, and solutions through separation of variables.

Electrodynamics: Gauge Invariance and Electrostatics

Explores gauge invariance, electrostatics, Maxwell's equations, and boundary conditions.