Relative energy inequality and weak-strong uniqueness for an isothermal non-Newtonian compressible fluid
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00574193" target="_blank" >RIV/67985840:_____/23:00574193 - isvavai.cz</a>
Alternative codes found
RIV/61989592:15310/23:73619846
Result on the web
<a href="https://doi.org/10.3336/gm.58.1.07" target="_blank" >https://doi.org/10.3336/gm.58.1.07</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3336/gm.58.1.07" target="_blank" >10.3336/gm.58.1.07</a>
Alternative languages
Result language
angličtina
Original language name
Relative energy inequality and weak-strong uniqueness for an isothermal non-Newtonian compressible fluid
Original language description
Our paper deals with three-dimensional nonsteady Navier-Stokes equations for non-Newtonian compressible fluids. It contains a derivation of the relative energy inequality for the weak solutions to these equations. We show that the standard energy inequality implies the relative energy inequality. Consequently, the relative energy inequality allows us to achieve a weak-strong uniqueness result. In other words, we present that the weak solution of the Navier-Stokes system coincides with the strong solution emanated from the same initial conditions as long as the strong solution exists. For this purpose, a new assumption on the co-ercivity of the viscous stress tensor was introduced along with two natural examples satisfying it.
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
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Glasnik Matematicki
ISSN
0017-095X
e-ISSN
1846-7989
Volume of the periodical
58
Issue of the periodical within the volume
1
Country of publishing house
HR - CROATIA
Number of pages
15
Pages from-to
85-99
UT code for WoS article
001019706500007
EID of the result in the Scopus database
2-s2.0-85163596361