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On the Occurrence of "Vacuum States" for 2 $times$ 2 Quasilinear Hyperbolic Conservation Laws |
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| Authors: | Longwei Lin |
| 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). |
| Keywords: | “Vacuum states” quasilinear hyperbolic conservation laws |
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