Finding Advanced PDE Resources for Meteorologists with a Math Background

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For someone with a background in meteorology and mathematics looking to deepen their understanding of partial differential equations (PDEs), several book recommendations emerged. Walter Strauss's book is noted as a solid choice for both introductory and intermediate PDE courses. Additionally, the works of Lawrence Evans and Peter Olver are suggested for their clear writing styles and comprehensive coverage of fundamental concepts. The choice of further study may depend on specific interests in areas such as gas dynamics, fluid dynamics, quantum mechanics, or nonlinear phenomena.
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,...
 
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