Meccanica

, Volume 25, Issue 1, pp 47–57 | Cite as

A combustion problem in cylindrical and spherical symmetry

  • Paola Mannucci
Article
  • 21 Downloads

Summary

We study a system of partial differential equations describing the behaviour of a perfect, viscous, polytropic, compressible, chemically reactive gas in a bounded container, under assumptions of cylindrical symmetry. The global existence in the time of a classical solution is proved by some a priori estimates. One extension at the spherical case is given.

Keywords

Combustion Differential Equation Mechanical Engineer Civil Engineer Partial Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Sommario

Si studia un sistema di equazioni a derivate parziali che descrive il comportamento di un gas perfetto, viscoso, politropico, comprimibile che reagisce chimicamente in un recipiente limitato, con simmetria cilindrica. Si prova I'esistenza globale nel tempo di una soluzione classica per mezzo di stime a priori. Si estende poi questo procedimento al caso delta simmetria sferica.

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Copyright information

© Pitagora Editrice Bologna 1990

Authors and Affiliations

  • Paola Mannucci
    • 1
  1. 1.Dottoranda in MatematicaIstituto Matematico “Ulisse Dini”FirenzeItaly

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