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Rarefaction Waves and Integral Curves

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Book cover Numerical Methods for Conservation Laws

Part of the book series: Lectures in Mathematics ETH Zürich ((LM))

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Abstract

All of the Riemann solutions considered so far have the following property: the solution is constant along all rays of the form x = ξt. Consequently, the solution is a function of x/t alone, and is said to be a “similarity solution” of the PDE.

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© 1992 Springer Basel AG

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LeVeque, R.J. (1992). Rarefaction Waves and Integral Curves. In: Numerical Methods for Conservation Laws. Lectures in Mathematics ETH Zürich. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8629-1_8

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  • DOI: https://doi.org/10.1007/978-3-0348-8629-1_8

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-2723-1

  • Online ISBN: 978-3-0348-8629-1

  • eBook Packages: Springer Book Archive

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