##### Department of Mathematics,

University of California San Diego

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### Seminar on Boundary Value Problems (PDE)

## Chris Tiee

#### UCSD

## Formulating Maxwell's Equations with Differential Forms

##### Abstract:

We continue the formulation of Maxwell's Equations in the language of differential forms. We describe how the Hodge star operator plays a role in relating the equations together, and also introduce the electromagnetic 4-potential, which unifies the classical electric scalar and magnetic vector potentials into one spacetime object. We then use both these tools to recast Maxwell's Equations as a wave equation, and investigate what it means for boundary value problems.

### May 4, 2009

### 4:00 PM

### AP&M B412

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