Mathematica PDE Mathematical Behavior

  • Thread starter Clausius2
  • Start date

Clausius2

Science Advisor
Gold Member
1,436
5
I am looking for an elegant way of demonstrating the parabolical behavior of the system:

[tex] \frac{\partial u}{\partial
x}+\frac{1}{r}\frac{\partial}{\partial r}(vr)=0
[/tex]

[tex] u\frac{\partial u}{\partial x}+v \frac{\partial
u}{\partial r}=\frac{1}{r}\frac{\partial}{\partial r}\Big(r
\frac{\partial u}{\partial r}\Big)
[/tex]

Any idea?. I have read some ways of doing so by establishing a complicated matrix of coefficients, but it is only valid for linear equations.

Thanks in Advance!
 

Want to reply to this thread?

"PDE Mathematical Behavior" You must log in or register to reply here.

Related Threads for: PDE Mathematical Behavior

Replies
0
Views
2K
Replies
0
Views
7K
Replies
0
Views
4K
Replies
0
Views
2K
Replies
0
Views
2K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top