Nonlinear evolution inclusions arising from phase change models

Pierluigi Colli; Pavel Krejčí; Elisabetta Rocca; Jürgen Sprekels

Czechoslovak Mathematical Journal (2007)

  • Volume: 57, Issue: 4, page 1067-1098
  • ISSN: 0011-4642

Abstract

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The paper is devoted to the analysis of an abstract evolution inclusion with a non-invertible operator, motivated by problems arising in nonlocal phase separation modeling. Existence, uniqueness, and long-time behaviour of the solution to the related Cauchy problem are discussed in detail.

How to cite

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Colli, Pierluigi, et al. "Nonlinear evolution inclusions arising from phase change models." Czechoslovak Mathematical Journal 57.4 (2007): 1067-1098. <http://eudml.org/doc/31183>.

@article{Colli2007,
abstract = {The paper is devoted to the analysis of an abstract evolution inclusion with a non-invertible operator, motivated by problems arising in nonlocal phase separation modeling. Existence, uniqueness, and long-time behaviour of the solution to the related Cauchy problem are discussed in detail.},
author = {Colli, Pierluigi, Krejčí, Pavel, Rocca, Elisabetta, Sprekels, Jürgen},
journal = {Czechoslovak Mathematical Journal},
keywords = {nonlinear and nonlocal evolution equations; Cahn-Hilliard type dynamics; phase transitions models; existence; uniqueness; long-time behaviour; Cahn-Hilliard type dynamics; phase transitions models},
language = {eng},
number = {4},
pages = {1067-1098},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Nonlinear evolution inclusions arising from phase change models},
url = {http://eudml.org/doc/31183},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Colli, Pierluigi
AU - Krejčí, Pavel
AU - Rocca, Elisabetta
AU - Sprekels, Jürgen
TI - Nonlinear evolution inclusions arising from phase change models
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 4
SP - 1067
EP - 1098
AB - The paper is devoted to the analysis of an abstract evolution inclusion with a non-invertible operator, motivated by problems arising in nonlocal phase separation modeling. Existence, uniqueness, and long-time behaviour of the solution to the related Cauchy problem are discussed in detail.
LA - eng
KW - nonlinear and nonlocal evolution equations; Cahn-Hilliard type dynamics; phase transitions models; existence; uniqueness; long-time behaviour; Cahn-Hilliard type dynamics; phase transitions models
UR - http://eudml.org/doc/31183
ER -

References

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