Abstract
We present some topics of interest with two-dimensional problems in mind. The existence of smooth solutions and finite-time blow-up, wave interactions, and generalized Riemann problems in 1-D are all essential in handling two-dimensional Riemann problems. We also cover the celebrated Glimm’s scheme and Nishida’s existence of solutions for the isothermal system with large initial data.
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© 2001 Springer Science+Business Media New York
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Zheng, Y. (2001). Cauchy Problems. In: Systems of Conservation Laws. Progress in Nonlinear Differential Equations and Their Applications, vol 38. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0141-0_4
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DOI: https://doi.org/10.1007/978-1-4612-0141-0_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6631-0
Online ISBN: 978-1-4612-0141-0
eBook Packages: Springer Book Archive