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.
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.
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Mannucci, P. A combustion problem in cylindrical and spherical symmetry. Meccanica 25, 47–57 (1990). https://doi.org/10.1007/BF02015035
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DOI: https://doi.org/10.1007/BF02015035