Abstract
This chapter deals with basic concepts of hyperbolic system of partial differential equation and conservation laws in multi-dimensions.
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Notes
- 1.
A mathematical definition of a wavefront is available in [42], Sect. 3.2.1, originally given in [36].
- 2.
- 3.
The name ‘rarefaction wave’ is borrowed from gas dynamics, where the density of fluid decreases as fluid elements cross a centred simple wave.
- 4.
This name ‘lemma on bicharacteristic direction’ comes from [13].
- 5.
Hugoniot curve is the graph of p versus specific volume \(\frac{1}{\rho }\) representing the jump relation between p and \(\rho \) across a shock.
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Prasad, P. (2017). Hyperbolic System of PDEs and Conservation Laws. In: Propagation of Multidimensional Nonlinear Waves and Kinematical Conservation Laws. Infosys Science Foundation Series(). Springer, Singapore. https://doi.org/10.1007/978-981-10-7581-0_4
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DOI: https://doi.org/10.1007/978-981-10-7581-0_4
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Publisher Name: Springer, Singapore
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Online ISBN: 978-981-10-7581-0
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