Concept
Functional derivative
Related lectures (29)
Functional Derivatives
Covers the concept of functional derivatives and their calculation process with examples.
Euler's Elastica: Mechanics of Slender Structures
Covers the total energy functional of bending and gravitational contributions in slender structures.
Analytical Mechanics: Equilibrium Positions and Least Action Principle
Explores equilibrium positions, lineic density, and the principle of least action in analytical mechanics.
Calculus of Variations: Some Topics
Covers fundamental topics in calculus of variations, including minimizers and the Euler-Lagrange equation.
Field Theory: Action Principles
Discusses the application of action principles in classical field theory, focusing on Lagrange and Hamiltonian formulations.
Weak Derivatives: Definition and Properties
Covers weak derivatives, their properties, and applications in functional analysis.
Density Functional Theory: Fundamentals
Covers the fundamentals of Density Functional Theory, including its popularity, practical advantages, and applications in chemistry.
Proportional Derivative Control
Covers Proportional Derivative (PD) Control, feedback interpretation, and derivative action implementation in circuits.
Principle of Least Action
Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.
Fluid Kinematics: Euler/Lagrange
Covers fluid kinematics, Eulerian and Lagrangian descriptions, total derivative, rotation, vorticity, and Laplacian in fluid dynamics.