Riemann problem and wave interactions for the one-dimensional relativistic string equation in Minkowski space. (English) Zbl 1442.35258
Summary: In this paper, we consider the Riemann problem for the one-dimensional relativistic string equation in Minkowski space. It is shown that the delta shock wave will be constructed in the Riemann solutions in some certain situations. Furthermore, the interactions of elementary waves including contact discontinuity and delta shock wave are obtained.
MSC:
| 35L67 | Shocks and singularities for hyperbolic equations |
| 35Q75 | PDEs in connection with relativity and gravitational theory |
| 35L65 | Hyperbolic conservation laws |
| 35L60 | First-order nonlinear hyperbolic equations |
| 35L45 | Initial value problems for first-order hyperbolic systems |
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