Cahn-Hilliard equation with capillarity in actual deforming configurations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F21%3A00548900" target="_blank" >RIV/61388998:_____/21:00548900 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/21:10436763
Result on the web
<a href="https://www.aimsciences.org/article/doi/10.3934/dcdss.2020303" target="_blank" >https://www.aimsciences.org/article/doi/10.3934/dcdss.2020303</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdss.2020303" target="_blank" >10.3934/dcdss.2020303</a>
Alternative languages
Result language
angličtina
Original language name
Cahn-Hilliard equation with capillarity in actual deforming configurations
Original language description
The diffusion driven by the gradient of the chemical potential (by the Fick/Darcy law) in deforming continua at large strains is formulated in the reference configuration with both the Fick/Darcy law and the capillarity (i.e. concentration gradient) term considered at the actual configurations deforming in time. Static situations are analysed by the direct method. Evolution (dynamical) problems are treated by the Faedo-Galerkin method, the actual capillarity giving rise to various new terms as e.g. the Korteweg-like stress and analytical difficulties related to them. Some other models (namely plasticity at small elastic strains or damage) with gradients at an actual configuration allow for similar models and analysis.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Discrete and Continuous Dynamical systems - Series S
ISSN
1937-1632
e-ISSN
1937-1179
Volume of the periodical
14
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
14
Pages from-to
41-55
UT code for WoS article
000595659200004
EID of the result in the Scopus database
2-s2.0-85098876677