Steady State Gas Flow in Pipeline Networks: Existence and Uniqueness of Solution

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References

[1] Reigstad, G.A. (2015) Existence and Uniqueness of Solutions to the Generalized Riemann Problem for Isentropic Flow. SIAM Journal on Applied Mathematics, 75, 679-702.

https://doi.org/10.1137/140962759

[2] Deo, N. (2016) Graph Theory with Applications to Engineering and Computer Science, Mineola. Dover Publications, New York.

[3] Feistauer, M. (2003) Mathematical and Computational Methods for Compressible Flow. Oxford University Press, Oxford.

[4] Chorin, A.J. and Marsden, J.E. (2012) A Mathematical Introduction to Fluid Mechanics. 2nd Edition, Springer, New York.

[5] Brook, R.M. and Schmitt, K. (2009) The Contraction Mapping Principle and Some Applications. Electronic Journal of Differential Equations, 9.