Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics

@article{Guo1998FormationOS,
  title={Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics},
  author={Y. Guo and A. Tahvildar-Zadeh},
  journal={arXiv: Analysis of PDEs},
  year={1998}
}
  • Y. Guo, A. Tahvildar-Zadeh
  • Published 1998
  • Mathematics, Physics
  • arXiv: Analysis of PDEs
  • 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. 
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    References

    SHOWING 1-10 OF 13 REFERENCES
    Smooth Irrotational Flows in the Large to the Euler–Poisson System in R3+1
    • 134
    Non-existence of global solutions to Euler-Poisson equations for repulsive forces
    • 54
    Formation of singularities in the Euler and Euler-Poisson equations
    • 50
    Formation of singularities in solutions to nonlinear hyperbolic equations
    • 84
    Sur la solution à support compact de l’equation d’Euler compressible
    • 155
    The Initial Value Problem for Self-Gravitating Fluid Bodies
    • 14
    On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
    • 641
    Classical Electrodynamics
    • 12,323
    • PDF
    Classical Electrodynamics (2nd edn)
    • 2,477
    Relativistic and nonrelativistic elastodynamics with small shear strains
    • 50
    • PDF