Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Home

Lecture

Fourier Analysis and PDEs

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (45)

Partial Differential Equations Log in to Mediaspace to watch this video

Covers the basics of Partial Differential Equations, including the Laplace equation, heat equation, and wave equation.

Condensation Systems: Heat Transfer & Phase Changes Log in to Mediaspace to watch this video

Explores the significance of condensation in industrial applications, focusing on heat removal by phase changes and condensation on vertical surfaces.

Transient Regime: Heat Transfer Log in to Mediaspace to watch this video

Explores the transient regime in heat transfer, solidification, boundary conditions, and heat flux density.

Fourier Series and PDE Solving Log in to Mediaspace to watch this video

Covers the solving of PDEs using Fourier series and boundary conditions of Neumann and Dirichlet type.

Partial Differential Equations: Heat Equation in R Log in to Mediaspace to watch this video

Explores solving differential equations with periodic data using Fourier series and delves into the heat equation in R.

Boundary Conditions - 1D Systems Log in to Mediaspace to watch this video

Covers boundary conditions for heat diffusion in 1D systems.

Uniqueness Results for Poisson Equation Log in to Mediaspace to watch this video

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

Tool and Workpiece Heating Log in to Mediaspace to watch this video

Discusses controlling heat in cutting processes to improve machining quality and tool durability through strategies like high-speed machining and optimizing cutting parameters.

Heat Transfer and Membrane Deformation Log in to Mediaspace to watch this video

Discusses membrane deformation, flow in planes, and heat transfer by conduction.

Transient Heat Transfer: Examples and Solutions Log in to Mediaspace to watch this video

Explores transient heat transfer, Biot number, and practical applications in cooling metal.

Evolution of Partial Differential Equations Log in to Mediaspace to watch this video

Explores the evolution of PDEs, focusing on heat and wave equations in 1D, uniqueness of solutions, and the d'Alembert formula.

Conduction Heat Transfer: Formulations and Theorems Log in to Mediaspace to watch this video

Explores the strong and integral formulations of conduction heat transfer in 2D media, along with weak formulations and boundary conditions.

Heat Exchangers: Fundamentals and Applications Log in to Mediaspace to watch this video

Explores the fundamentals of heat exchangers, including conduction, convection, and temperature profiles, with practical examples.

Fundamental Solutions of Laplace Equation Log in to Mediaspace to watch this video

Covers the fundamental solutions of the Laplace equation and introduces distributions.

The Finite Volume Method Log in to Mediaspace to watch this video

Covers the Finite Volume Method for numerical flow simulation, including conservation equations, discretization methods, and boundary conditions.

Phase Transformations in Aluminum Alloys: Kinetics and Diagrams Log in to Mediaspace to watch this video

Covers the kinetics of phase transformations in aluminum alloys, focusing on the TTT diagram and cooling processes.

Convolution and Fourier Transform Log in to Mediaspace to watch this video

Explores convolution properties, heat equation application, and Fourier transform on tempered distributions.

Green's Function: Theory and Applications Log in to Mediaspace to watch this video

Covers the theory and applications of Green's function in solving differential equations.

Fourier Transform: Concepts and Applications Log in to Mediaspace to watch this video

Covers the Fourier transform, its properties, and applications in signal processing and differential equations, demonstrating its importance in mathematical analysis.

Fin Performance: Efficiency & Resistance Log in to Mediaspace to watch this video

Explores fin efficiency, resistance, and performance in heat transfer systems.

Page 2 of 3