We give a brief overview of the results obtained for forward--backward parabolic equations of cubic type. In particular we summarize an approach that has some analogies with hyperbolic conservation laws. More precisely we give a concept of entropy solution and analyze in more details admissibility conditions satisfied by an interface that separates different phases. Finally we state uniqueness and existence results that appear in literature.
Entropy formulation for forward-backward parabolic equations / Terracina, Andrea. - STAMPA. - 8:(2014), pp. 983-990. (Intervento presentato al convegno HYP2012 tenutosi a Padova nel 24-29 giugno 2012).
Entropy formulation for forward-backward parabolic equations
TERRACINA, Andrea
Writing – Original Draft Preparation
2014
Abstract
We give a brief overview of the results obtained for forward--backward parabolic equations of cubic type. In particular we summarize an approach that has some analogies with hyperbolic conservation laws. More precisely we give a concept of entropy solution and analyze in more details admissibility conditions satisfied by an interface that separates different phases. Finally we state uniqueness and existence results that appear in literature.| File | Dimensione | Formato | |
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