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An Extension of the Kolmogorov-Avrami Formula to Inhomogeneous Birth-and-Growth Processes

In: Math Everywhere

Author

Listed:
  • Martin Burger

    (Johannes Kepler Universität, Institut für Industriemathematik)

  • Vincenzo Capasso

    (Universitá degli Studi di Milano, ADAMSS(Centre for Advanced Applied Mathematical and Statistical Sciences) & Department of Mathematics)

  • Alessandra Micheletti

    (Universitá degli Studi di Milano, ADAMSS(Centre for Advanced Applied Mathematical and Statistical Sciences) & Department of Mathematics)

Abstract

It has been shown by a substantial body of literature that the hazard function plays an important role in the derivation of evolution equations of volume and n-facet densities of Johnson-Mehl tessellations generated by germ-grain models associated with spatially homogeneous birth-and-growth processes.

Suggested Citation

  • Martin Burger & Vincenzo Capasso & Alessandra Micheletti, 2007. "An Extension of the Kolmogorov-Avrami Formula to Inhomogeneous Birth-and-Growth Processes," Springer Books, in: Giacomo Aletti & Alessandra Micheletti & Daniela Morale & Martin Burger (ed.), Math Everywhere, pages 63-76, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-44446-6_6
    DOI: 10.1007/978-3-540-44446-6_6
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