Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics
Guo, Yan ; Tahvildar-Zadeh, A. Shadi
arXiv, 9807136 / Harvested from arXiv
We prove that for large enough data, the life span of smooth solutions to the Cauchy problem for the following two quasilinear hyperbolic systems is finite: (1) equations of relativistic compressible fluid dynamics, (2) equations of plasma dynamics (Euler-Maxwell equations with background charge) in the spherically symmetric case.
Publié le : 1998-07-24
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  76Y05,  35Q05
@article{9807136,
     author = {Guo, Yan and Tahvildar-Zadeh, A. Shadi},
     title = {Formation of singularities in relativistic fluid dynamics and in
  spherically symmetric plasma dynamics},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9807136}
}
Guo, Yan; Tahvildar-Zadeh, A. Shadi. Formation of singularities in relativistic fluid dynamics and in
  spherically symmetric plasma dynamics. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9807136/