Year: 1995
Author: Longwei Lin
Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 1 : pp. 64–72
Abstract
We show that the solution Lo the Cauchy problem of 2 × 2 nonlinear conservation laws, in general, may go out the strictly hyperbolic region of the system in a finite time, here the initial data are given in the strictly hyperbolic region. In other words, in general, we can't confine our attention to solve the Cauthy problem of 2 × 2 nonlinear consenvation laws in strictly hyperbolic type. However, we can expect that it may be solved under the additional conditions (A) and (b).
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1995-JPDE-5639
Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 1 : pp. 64–72
Published online: 1995-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: “Vacuum states” quasilinear hyperbolic conservation laws