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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

  • Czech description

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