The hyperbolic nature of the zero dispersion Kdv limit
- 1 January 1988
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 13 (4) , 495-514
- https://doi.org/10.1080/03605308808820550
Abstract
Strict hyperboiicity and genuine nonlinearity is proved for the zero dispersion KdV limit wherever the Riemann invariants, λk, remain distinct. more specifically, the characteristic speeds, sk , have the opposite ordering of the Riemann invariants and the derivative of a characteristic speed with respect to its corresponding Riemann invariant is negative A Riccati eqation is found for the evolution of ∂kλk along the kTM characteristic and some implications to breaking are discussed.Keywords
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