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About Lecture 1: Introduction To Pdes
The document provides an introduction to partial differential equations (PDEs). It discusses what a PDE is, including definitions and examples of different types of PDEs. It then summarizes transport equations, which are a simple type of first-order PDE that model the flow of substances through a fluid. Transport equations with constant coefficients can be solved geometrically by observing that the gradient of the solution must be perpendicular to the flow direction, meaning the solution only depends on the characteristics lines defined by the PDE. The document outlines the plan to cover additional types of PDEs over the course of the semester.
Detailed Information
| Author: | ['Frank Ho'] |
|---|---|
| Publication Year: | 2021 |
| Pages: | 12 |
| Language: | English |
| Format: | |
| Price: | FREE |
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