Elastoplastic reaction of a container to water freezing
Mathematica Bohemica (2010)
- Volume: 135, Issue: 4, page 423-441
- ISSN: 0862-7959
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topKrejčí, Pavel. "Elastoplastic reaction of a container to water freezing." Mathematica Bohemica 135.4 (2010): 423-441. <http://eudml.org/doc/196947>.
@article{Krejčí2010,
abstract = {The paper deals with a model for water freezing in a deformable elastoplastic container. The mathematical problem consists of a system of one parabolic equation for temperature, one integrodifferential equation with a hysteresis operator for local volume increment, and one differential inclusion for the water content. The problem is shown to admit a unique global uniformly bounded weak solution.},
author = {Krejčí, Pavel},
journal = {Mathematica Bohemica},
keywords = {phase transition; water; ice; energy; entropy; elastoplastic boundary; phase transition; water; ice; energy; entropy; elastoplastic boundary},
language = {eng},
number = {4},
pages = {423-441},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Elastoplastic reaction of a container to water freezing},
url = {http://eudml.org/doc/196947},
volume = {135},
year = {2010},
}
TY - JOUR
AU - Krejčí, Pavel
TI - Elastoplastic reaction of a container to water freezing
JO - Mathematica Bohemica
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 135
IS - 4
SP - 423
EP - 441
AB - The paper deals with a model for water freezing in a deformable elastoplastic container. The mathematical problem consists of a system of one parabolic equation for temperature, one integrodifferential equation with a hysteresis operator for local volume increment, and one differential inclusion for the water content. The problem is shown to admit a unique global uniformly bounded weak solution.
LA - eng
KW - phase transition; water; ice; energy; entropy; elastoplastic boundary; phase transition; water; ice; energy; entropy; elastoplastic boundary
UR - http://eudml.org/doc/196947
ER -
References
top- Brokate, M., Sprekels, J., 10.1007/978-1-4612-4048-8_5, Appl. Math. Sci. 121, Springer, New York (1996). (1996) Zbl0951.74002MR1411908DOI10.1007/978-1-4612-4048-8_5
- Frémond, M., Non-Smooth Thermo-Mechanics, Springer, Berlin (2002). (2002) MR1885252
- Frémond, M., Rocca, E., 10.1142/S0218202506001261, Math. Models Methods Appl. Sci. 16 (2006), 559-586. (2006) Zbl1105.80007MR2218214DOI10.1142/S0218202506001261
- Frémond, M., Rocca, E., 10.1090/S0033-569X-08-01100-0, Q. Appl. Math. 66 (2008), 609-632. (2008) Zbl1157.80385MR2465138DOI10.1090/S0033-569X-08-01100-0
- Krasnosel'skii, M. A., Pokrovskii, A. V., Systems with Hysteresis, Springer, Berlin (1989). (1989) Zbl0665.47038MR0987431
- Krejčí, P., Hysteresis operators---a new approach to evolution differential inequalities, Comment. Math. Univ. Carolinae 33 (1989), 525-536. (1989) MR1031870
- Krejčí, P., Hysteresis, Convexity and Dissipation in Hyperbolic Equations, Gakuto Int. Series. Math. Sci. Appl., Vol. 8, Gakkotosho, Tokyo (1996). (1996) MR2466538
- Krejčí, P., Rocca, E., Sprekels, J., 10.1137/09075086X, SIAM J. Math. Anal. 41 (2009), 1851-1873. (2009) Zbl1202.80014MR2564197DOI10.1137/09075086X
- Krejčí, P., Rocca, E., Sprekels, J., Phase separation in a gravity field, (to appear) in DCDS-S. MR2746380
- Krejčí, P., Rocca, E., Sprekels, J., Liquid-solid phase transitions in a deformable container, Continuous Media with Microstructure (B. Albers, ed.). Springer, Berlin (2010), 281-296. (2010)
- Visintin, A., Models of Phase Transitions, Progress in Nonlinear Differential Equations and their Applications 28, Birkhäuser, Boston (1996). (1996) Zbl0882.35004MR1423808
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