@Article{JPDE-8-1,
author = {Longwei, Lin},
title = {On the Occurrence of "Vacuum States" for 2 $\times$ 2 Quasilinear Hyperbolic Conservation Laws},
journal = {Journal of Partial Differential Equations},
year = {1995},
volume = {8},
number = {1},
pages = {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).},
issn = {2079-732X},
doi = {https://doi.org/1995-JPDE-5639},
url = {https://global-sci.com/article/88952/on-the-occurrence-of-vacuum-states-for-2-times-2-quasilinear-hyperbolic-conservation-laws}
}