On robustness of a strong solution to the Navier–Stokes equations with Navier's boundary conditions in the L3-norm

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00473686" target="_blank" >RIV/67985840:_____/17:00473686 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/17:00311577
Result on the web
<a href="http://dx.doi.org/10.1088/1361-6544/aa6166" target="_blank" >http://dx.doi.org/10.1088/1361-6544/aa6166</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6544/aa6166" target="_blank" >10.1088/1361-6544/aa6166</a>

Result language
angličtina
Original language name
On robustness of a strong solution to the Navier–Stokes equations with Navier's boundary conditions in the L3-norm
Original language description
We recall or prove a series of results on solutions to the Navier-Stokes equation with Navier's slip boundary conditions. The main theorem says that a strong solution u on any time interval (0,T) (where ...) is robust in the sense that small perturbations of the initial value in the norm of L^3(Omega) and the acting body force in the norm of L^2(0,T:, L^{3/2}(Omega)) cause only a small perturbation of solution u in the norm of L^3(Omega). This result particularly implies that the maximum length of the time interval, on which the solution starting from the initial value u_0 in L^3(Omega) is regular, is a lower semi-continuous functional on L^3(Omega).
Czech name
—
Czech description
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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
<a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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