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Global existence for a quasi-linear evolution equation with a non-convex energy
Author(s):
Eduard
Feireisl;
Hana
Petzeltová
Journal:
Trans. Amer. Math. Soc.
354
(2002),
1421-1434.
MSC (2000):
Primary 35Q72, 74D10, 45K05
Posted:
December 5, 2001
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Abstract:
We establish the existence of global in time weak solutions to the initial-boundary value problem related to the dynamics of coherent solid-solid phase transitions in viscoelasticity. The class of the stored energy functionals includes the double well potential, and a general convolution damping term is considered.
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Additional Information:
Eduard
Feireisl
Affiliation:
Mathematical Institute of the Academy of Sciences of the Czech Republic, Zitná 25, 115 67 Praha 1, Czech Republic
Email:
feireisl@math.cas.cz
Hana
Petzeltová
Affiliation:
Mathematical Institute of the Academy of Sciences of the Czech Republic, Zitná 25, 115 67 Praha 1, Czech Republic
Email:
petzelt@math.cas.cz
DOI:
10.1090/S0002-9947-01-02950-6
PII:
S 0002-9947(01)02950-6
Received by editor(s):
February 19, 2000
Received by editor(s) in revised form:
August 29, 2001
Posted:
December 5, 2001
Additional Notes:
Work supported by Grant A1019002 GA AVCR
Copyright of article:
Copyright
2001,
American Mathematical Society
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