- #1

- 7

- 0

## Homework Statement

The equation is u

_{t}+ uu

_{x}+ u

_{x}

_{x}

_{x}= 0

I need to show that this is a parabolic pde.

## Homework Equations

Hint : convert to an equivalent system of 1st order equations by introducing an auxiliary variable p = u

_{x}, etc.

## The Attempt at a Solution

So i took p = u

_{x}

doesn't that just give me:

u

_{t}+ pu + p

_{x}

_{x}= 0

This i think is a parabolic pde by inspection.

But the hint says i need to get a system of 1st order equations. What am i missing? I am pretty sure I've made a giant error. Help please!