Attractors for general operators

Alain Miranville

Applications of Mathematics (2003)

  • Volume: 48, Issue: 1, page 31-47
  • ISSN: 0862-7940

Abstract

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In this article we introduce the notion of a minimal attractor for families of operators that do not necessarily form semigroups. We then obtain some results on the existence of the minimal attractor. We also consider the nonautonomous case. As an application, we obtain the existence of the minimal attractor for models of Cahn-Hilliard equations in deformable elastic continua.

How to cite

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Miranville, Alain. "Attractors for general operators." Applications of Mathematics 48.1 (2003): 31-47. <http://eudml.org/doc/33132>.

@article{Miranville2003,
abstract = {In this article we introduce the notion of a minimal attractor for families of operators that do not necessarily form semigroups. We then obtain some results on the existence of the minimal attractor. We also consider the nonautonomous case. As an application, we obtain the existence of the minimal attractor for models of Cahn-Hilliard equations in deformable elastic continua.},
author = {Miranville, Alain},
journal = {Applications of Mathematics},
keywords = {global attractor; minimal attractor; exponential attractor; weakly coupled system; global attractor; minimal attractor; exponential attractor; weakly coupled system},
language = {eng},
number = {1},
pages = {31-47},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Attractors for general operators},
url = {http://eudml.org/doc/33132},
volume = {48},
year = {2003},
}

TY - JOUR
AU - Miranville, Alain
TI - Attractors for general operators
JO - Applications of Mathematics
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 1
SP - 31
EP - 47
AB - In this article we introduce the notion of a minimal attractor for families of operators that do not necessarily form semigroups. We then obtain some results on the existence of the minimal attractor. We also consider the nonautonomous case. As an application, we obtain the existence of the minimal attractor for models of Cahn-Hilliard equations in deformable elastic continua.
LA - eng
KW - global attractor; minimal attractor; exponential attractor; weakly coupled system; global attractor; minimal attractor; exponential attractor; weakly coupled system
UR - http://eudml.org/doc/33132
ER -

References

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