Finding Advanced PDE Resources for Meteorologists with a Math Background

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SUMMARY

This discussion focuses on advanced resources for Partial Differential Equations (PDE) tailored for meteorologists with a mathematics background. Walter Strauss's book is recommended for introductory and intermediate courses in PDE. Additionally, books by Lawrence C. Evans and Peter Olver are suggested for their clarity and comprehensive coverage of fundamental concepts. The choice of further study depends on the specific area of PDE application, such as gas dynamics or fluid dynamics.

PREREQUISITES
  • Understanding of basic Partial Differential Equations (PDE)
  • Familiarity with mathematical concepts relevant to meteorology
  • Knowledge of fluid dynamics principles
  • Basic grasp of quantum mechanics for advanced PDE applications
NEXT STEPS
  • Explore Lawrence C. Evans's "Partial Differential Equations" for advanced theoretical insights
  • Read Peter Olver's "Applications of Lie Groups to Differential Equations" for practical applications
  • Investigate specialized PDE topics in gas dynamics and fluid dynamics
  • Study nonlinear and chaotic PDE systems for advanced meteorological modeling
USEFUL FOR

Meteorologists, mathematicians, and researchers looking to deepen their understanding of Partial Differential Equations in the context of atmospheric sciences and related fields.

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,...
 
Thanks!
 

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