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Project topics in Nonlinear PDEs

dwsmith

Well-known member
Feb 1, 2012
1,673
I have to work on a project for my nonlinear PDEs class. What are some topics that are suitable for a project in nonlinear PDEs?

Thanks.
 

mathbalarka

Well-known member
MHB Math Helper
Mar 22, 2013
573
I had once thought of the PDE

\(\displaystyle \frac{\partial F}{\partial x} + \frac{\partial F}{\partial y} = A(x, y)\)

for different functions at the RHS and tried to solve for F. I have got a whole lot results now regarding this one which I call "Advection-like forms". Try playing around with it a little, you'll find the jewels in this little nice-looking PDE.(Wink)

PS Note that this is not non-linear but still related to some non-linear PDE's. Perhaps this may be of some use?