RECENT DEVELOPMENTS IN NONLINEAR HYPERBOLIC PDE

  • Christodoulou, Demetrios
  • Published : 2001.07.01

Abstract

In this lecture I shall discuss some recent progress in the development of methods for attacking the central questions of the formation and structure of singularities and of global regularity for solutions of the Cauchy problem for nonlinear systems of partial differential equations of hyperbolic type. Applications to the Einstein equations of general relativity and to the equations of compressible fluid flow shall be particularly emphasized and detailed.

Keywords

hyperbolic p.d.e.;Cauchy problem formation of singularities;global regularity

References

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