On L-q estimates of planar flows up to the boundary
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10335259" target="_blank" >RIV/00216208:11320/16:10335259 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1090/conm/666/13294" target="_blank" >http://dx.doi.org/10.1090/conm/666/13294</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/conm/666/13294" target="_blank" >10.1090/conm/666/13294</a>
Alternative languages
Result language
angličtina
Original language name
On L-q estimates of planar flows up to the boundary
Original language description
We show apriori L-q gradient estimates for a sufficiently smooth planar flow driven by generalized Stokes system of equations. The estimates are obtained up to the boundary of a container where the fluid is contained. We allow power growth p - 1, p is an element of (1, +infinity) of the extra stress tensor for large values of shear rate but we exclude degeneracy or singularity for small shear rate. We also allow arbitrary q is an element of [p, +infinity). The technique does not provide L-q theory since we need to assume that the forces are very smooth.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/7AMB13DE001" target="_blank" >7AMB13DE001: Regularity of solutions to the generalized Stokes problem II</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
RECENT ADVANCES IN PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS
ISBN
978-1-4704-1521-1
ISSN
0271-4132
e-ISSN
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Number of pages
11
Pages from-to
253-263
Publisher name
AMER MATHEMATICAL SOC
Place of publication
PROVIDENCE
Event location
Levico Terme
Event date
Feb 17, 2014
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000379793800017