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A new proof of existence of similarity solutions

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 846))

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References

  1. Birkhoff, G.D.; "Hydrodynamics. A Study in Logic, Fact and Similitude," Princeton University Press, 1960.

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  2. Blumen, G.W.; Cole, J.D.; "Similarity Methods for Differential Equations," Springer-Verlag, Applied Mathematical Sciences, 13, 1974.

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  3. Forsyth, A.R.; "Theory of Differential Equations. Part IV. Partial Differential Equations," Cambridge, 1906, Vol. V.

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  4. Michal, A.D.; "Differential Invariants and Invariant Partial Differential Equations Under Continuous Transformation Groups in Normed Linear Spaces," Proc. Nat. Acad. Sci. U.S.A., 37, September 1952, 623–627.

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  5. Morgan, A.J.A.; "The Reduction by One of the Number of Independent Variables in Some Systems of Partial Differential Equations," Quart. J. Math., Oxford, 2, 3(1952), 250–259.

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Authors

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W. N. Everitt B. D. Sleeman

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© 1981 Springer-Verlag

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Stangar, R. (1981). A new proof of existence of similarity solutions. In: Everitt, W.N., Sleeman, B.D. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 846. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089850

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  • DOI: https://doi.org/10.1007/BFb0089850

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10569-5

  • Online ISBN: 978-3-540-38538-7

  • eBook Packages: Springer Book Archive

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