I need a book or video lecture that teaches how to solve the Riemann Problems from the fundamentals. Your Suggestions are appreciated.

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Sanjay Lamba Popular answer

Dear Gro

I suggest you "Systems of Conservation Laws: Two-Dimensional Riemannian Problems" by Yuxi Zheng

Gro Hovhannisyan

Classical book:

R. Courant, D. Hilbert,

Partial differential equations (volume 2 of Methodes of Math. Physics)

could be useful to teach Riemann's method of characteristics.

Sanjay Lamba

Chinedu Nwaigwe

Thanks all.

Ana-Maria Ciobotaru

Hy, I put here a book about - Riemann Problems from the fundamentals -

called An Introduction To Riemann-Hilbert Problems And Their Applications by Michael Wheeler ( The University of Melbourne, Department of Mathematics and Statistics).

http://www.ms.unimelb.edu.au/publications/Wheeler.pdf