Rigorous Derivation of a 1D Model from the 3D Non-Steady Navier-Stokes Equations for Compressible Nonlinearity Viscous Fluids
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73589084" target="_blank" >RIV/61989592:15310/18:73589084 - isvavai.cz</a>
Result on the web
<a href="https://ejde.math.txstate.edu/Volumes/2018/114/andrasik.pdf" target="_blank" >https://ejde.math.txstate.edu/Volumes/2018/114/andrasik.pdf</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Rigorous Derivation of a 1D Model from the 3D Non-Steady Navier-Stokes Equations for Compressible Nonlinearity Viscous Fluids
Original language description
Problems with three-dimensional models lie very often in their large complexity leading to impossibility to find an analytical solution. Numerical solutions are sometimes an option, but they can be unduly complicated in the case of three-dimensional models. Frequently, researchers investigate models where one or even two dimensions are almost negligible and nothing important is occurring in them. These models can be simplified and turned into one- or two-dimensional models, which is very helpful, because their solutions are easier than solutions of the original three-dimensional models. Since nonsteady Navier-Stokes equations for compressible nonlinearly viscous fluids in a three-dimensional domain belongs to the class of models which need a simplification, when possible, to be eifectively solved, we performed a dimension reduction for this model. We studied the dynamics of a compressible fluid in thin domains where only one dimension is dominant. We present a rigorous derivation of a one-dimensional model from the three-dimensional Navier-Stokes equations.
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
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Electronic Journal of Differential Equations
ISSN
1072-6691
e-ISSN
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Volume of the periodical
2018
Issue of the periodical within the volume
MAY
Country of publishing house
US - UNITED STATES
Number of pages
21
Pages from-to
"114-1"-"114-21"
UT code for WoS article
000432745500001
EID of the result in the Scopus database
2-s2.0-85047163565