Articoli
Volume 147 • (2013) Rendiconti - Classe di Scienze Matematiche e Naturali
https://doi.org/10.4081/scie.2013.180
REGULARITY OF THE SOLUTION TO A NONSTANDARD SYSTEM OF PHASE FIELD EQUATIONS
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All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.
Ricevuto: 29 luglio 2015
Pubblicato: 30 dicembre 2013
Pubblicato: 30 dicembre 2013
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A nonstandard system of differential equations describing two-species phase segregation is considered. This system naturally arises in the asymptotic analysis recently done by Colli, Gilardi, Krejčí, and Sprekels as the diffusion coefficient in the equation governing the evolution of the order parameter tends to zero. In particular, a well-posedness result is proved for the limit system. This paper deals with the above limit problem in a less general but still very significant framework and provides a very simple proof of further regularity for the solution. As a byproduct, a simple uniqueness proof is given as well.
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Come citare
REGULARITY OF THE SOLUTION TO A NONSTANDARD SYSTEM OF PHASE FIELD EQUATIONS. (2013). Istituto Lombardo - Accademia di Scienze e Lettere - Rendiconti di Scienze, 147. https://doi.org/10.4081/scie.2013.180