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Classification of partial differential equation

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Old   December 29, 2010, 17:27
Default Classification of partial differential equation
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I am posting this to your site as well since I know you fluids experts work with partial diff eq's pretty extensively.

I have rather nasty vector partial diff eq which I think has been addressed before; however, when I vistied a few websites to classify the equation the notation of these websites (other than Polyanin's) is not necessarily what I am accustomed to. I have attached the equation here & was wondering if anyone could point me in the right direction so I can see how others approached solving the problem.

I suspect this has applications in electromagnetism, but it may be applicable elsewhere, MAYBE gas dynamics?

I have a solution but would like to compare mine with others.

Appreciate any feedback
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