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pro vyhledávání: '"Jurgen Sprekels"'
Phase transition phenomena arise in a variety of relevant real world situations, such as melting and freezing in a solid-liquid system, evaporation, solid-solid phase transitions in shape memory alloys, combustion, crystal growth, damage in elastic m
Steady states of austenitic-martensitic domains in the Ginzburg-Landau theory of shape memory alloys
Autor:
Jurgen Sprekels, Avner Friedman
Publikováno v:
Continuum Mechanics and Thermodynamics. 2:199-213
In this paper we investigate mathematically F. Falk's one-dimensional Oinzburg-Landau model for the martensitic phase transitions in shape memory alloys. In particular, we are interested in possible steady state configurations, i.e. we look for distr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d9b8864d9c691ac5094ddb7c1ad5ef2
https://doi.org/10.1007/bf01129597
https://doi.org/10.1007/bf01129597
Publikováno v:
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Vol 98, Iss S2, p A4 (2020)
In this contribution, we deal with the longtime behavior of the solutions to the fractional variant of the Cahn-Hilliard system, with possibly singular potentials, that we have recently investigated in the paper Well-posedness and regularity for a ge
Externí odkaz:
https://doaj.org/article/6af9fb6ed7744b4580606a0c9490ad20
Publikováno v:
AIMS Mathematics, Vol 1, Iss 3, Pp 225-260 (2016)
We investigate a distributed optimal control problem for a nonlocal phase field modelof viscous Cahn-Hilliard type. The model constitutes a nonlocal version of a model for two-speciesphase segregation on an atomic lattice under the presence of di usi
Externí odkaz:
https://doaj.org/article/c7e25d35e07b4334bd40d8d3207dcd4c
This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and app
Publikováno v:
Mathematics, Vol 7, Iss 9, p 792 (2019)
In this paper, we study the distributed optimal control of a system of three evolutionary equations involving fractional powers of three self-adjoint, monotone, unbounded linear operators having compact resolvents. The system is a generalization of a
Externí odkaz:
https://doaj.org/article/99d987ed2cd84b0db55765234b361fba