Partial Differential Equations

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Related lectures (41)

Heat Equation: Core and Solutions Log in to Mediaspace to watch this video

Explores the heat equation core, solutions, and diffusion behavior over time.

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.

Introduction to PDES Log in to Mediaspace to watch this video

Covers harmonic functions, Laplacian operator, Dirichlet and Robin problems, and sub-harmonic functions in Partial Differential Equations.

Heat and Wave Equations: Analysis IV Log in to Mediaspace to watch this video

Covers the study of the heat and wave equations, including the process of separating variables to find solutions.

Partial Differential Equations and Hessians Log in to Mediaspace to watch this video

Covers partial differential equations, Hessians, and the Implicit Function Theorem, with a focus on exam question resolution.

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

Covers boundary conditions for heat diffusion in 1D systems.

Heterogeneous Reactions: Transport Effects Log in to Mediaspace to watch this video

Explores transport effects in heterogeneous catalysis, including molecular diffusion and Knudsen diffusion in different types of pores.

Vibrating Strings: Mathematical Analysis and Fourier Series Log in to Mediaspace to watch this video

Provides an overview of the mathematical analysis of vibrating strings using Fourier series and Laplace transforms.

Internal Heat Transfer Effects Log in to Mediaspace to watch this video

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

Partial Differential Equations: Separation of Variables Log in to Mediaspace to watch this video

Explores the method of separation of variables for solving partial differential equations with boundary conditions and discusses convergence properties of functions in different spaces.

Mechanics of Kirchhoff Rods II Log in to Mediaspace to watch this video

Explores the mechanics of Kirchhoff rods, focusing on 3D kinematics and twisted solutions.

Infinite Line: Non-linear Current/Voltage Log in to Mediaspace to watch this video

Discusses the response of an infinite line to a voltage square.

Semiconductor Components: N+/N Junction Analysis Log in to Mediaspace to watch this video

Covers the analysis of N+/N junctions in semiconductor components, focusing on diffusion and drift currents and their equilibrium.

Snowpack Applications and Tutorial Log in to Mediaspace to watch this video

Explores the SNOWPACK model for snow physics and hydrology applications, including vapor transport, hydrology, and climate change.

Linear Differential Equations: Second Order with Constant Coefficients Log in to Mediaspace to watch this video

Covers the definitions and solutions of linear differential equations of the second order with constant coefficients.

Fluid Friction Forces Log in to Mediaspace to watch this video

Explores fluid friction forces, including laminar and turbulent flow, viscosity, and terminal velocity calculation.

Bernoulli Differential Equation Log in to Mediaspace to watch this video

Explores the Bernoulli differential equation, historical context, solution methods, linear homogeneous equations, and examples.

Static Determinacy in Structural Mechanics Log in to Mediaspace to watch this video

Covers equilibrium, free body diagrams, and determinate systems in structural mechanics.

Envelope of Curves Log in to Mediaspace to watch this video

Explores the concept of envelope of curves within families of lines, including implicit equations, super-ellipses, and curvature.

Tangent Plane to Implicit Function Log in to Mediaspace to watch this video

Explores the tangent plane to implicit functions, emphasizing equations and graphical representations.

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