Amirat, Y. and Ziani, A.:
Global weak solutions for a degenerate parabolic system modelling a one-dimensional compressible miscible flow in porous media
Bollettino dell'Unione Matematica Italiana Serie 8 7-B (2004), fasc. n.1, p. 109-128, Unione Matematica Italiana (English)
pdf (298 Kb), djvu (221 Kb). | MR2044263 | Zbl 1117.35038
Sunto
Proviamo la risolubilità di un sistema parabolico non lineare degenere costituito da due equazioni che descrivono lo spostamento di un fluido compressibile, causato da un altro fluido, completamente miscibile al primo, in un mezzo poroso unidimensionale, trascurando la diffusione molecolare. Usiamo la tecnica delle soluzioni rinormalizzate per le equazioni paraboliche al fine di ottenere stime a priori per soluzioni di tipo viscosità. Passiamo al limite nel sistema parabolico, quando il coefficiente di diffusione molecolare tende a zero, tramite metodi di compattezza per compensazione.
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Con il contributo del Ministero per i Beni e le Attività Culturali