Berselli, Luigi C. and Ferreira, Jorge:
On the magnetohydrodynamic type equations in a new class of non-cylindrical domains
Bollettino dell'Unione Matematica Italiana Serie 8 2-B (1999), fasc. n.2, p. 365-382, Unione Matematica Italiana (English)
pdf (290 Kb), djvu (221 Kb). | MR1706576 | Zbl 0942.76087
Sunto
Viene provata l'esistenza e l'unicità delle soluzioni deboli per un sistema di equazioni della magnetoidrodinamica in un dominio variabile. Per la dimostrazione si usano il metodo di Galerkin spettrale e la tecnica introdotta da Dal Passo e Ughi per trattare i problemi con dominio dipendente dal tempo.
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