Robustness of one-dimensional viscous fluid motion under multidimensional perturbations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00448122" target="_blank" >RIV/67985840:_____/15:00448122 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jde.2015.08.029" target="_blank" >http://dx.doi.org/10.1016/j.jde.2015.08.029</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2015.08.029" target="_blank" >10.1016/j.jde.2015.08.029</a>
Alternative languages
Result language
angličtina
Original language name
Robustness of one-dimensional viscous fluid motion under multidimensional perturbations
Original language description
We adapt the relative energy functional associated to the compressible Navier-Stokes system to show stability of solutions emanating from 1-D initial data with respect to multidimensional N = 2, 3 perturbations. Besides the application of the relative energy inequality as a suitable ?distance between two solutions, refined regularity estimates in Lp based Sobolev spaces are used.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Differential Equations
ISSN
0022-0396
e-ISSN
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Volume of the periodical
259
Issue of the periodical within the volume
12
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
7529-7539
UT code for WoS article
000363072800019
EID of the result in the Scopus database
2-s2.0-84943359800