Finding Advanced PDE Resources for Meteorologists with a Math Background

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metdave
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I am a meteorologist with Bachelor's Degrees in both Meteorology and Mathematics. I took an intro PDE course in college, but want to learn more. Can anyone suggest a book that would be a good book after only having an intro course?

Thanks.
 
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I used the book of Walter Strauss for two of my PDE courses. It's a good book for a PDE I and PDE II course (so introduction a second course). The book of Evans is on my wish list because I like his writing style, as well as the book of Peter Olver. They cover all the basics. After that, it depends on what kind of PDE's you want to study: gas dynamics, fluid dynamics, quantum mechanics, nonlinear, chaotic, nondeterministic,...