Low stratification of a heat-conducting fluid in time-dependent domain

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00549713" target="_blank" >RIV/67985840:_____/21:00549713 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00028-020-00653-3" target="_blank" >https://doi.org/10.1007/s00028-020-00653-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00028-020-00653-3" target="_blank" >10.1007/s00028-020-00653-3</a>

Result language
angličtina
Original language name
Low stratification of a heat-conducting fluid in time-dependent domain
Original language description
We study the low Mach number limit of the full Navier-Stokes-Fourier system in the case of low stratification with ill-prepared initial data for the problem stated on a moving domain with a prescribed motion of the boundary. Similarly as in the case of a fixed domain, we recover as a limit the Oberback–Boussinesq system, however, we identify one additional term in the temperature equation of the limit system which is related to the motion of the domain and which is not present in the case of a fixed domain. One of the main ingredients in the proof is the properties of the Helmholtz decomposition on moving domains and the dependence of eigenvalues and eigenspaces of the Neumann Laplace operator on time.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)