A Weak Solvability of the Navier-Stokes Equation with Navier's Boundary Condition Around a Ball Striking the Wall

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F10%3A00345048" target="_blank" >RIV/67985840:_____/10:00345048 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-642-04068-9" target="_blank" >http://dx.doi.org/10.1007/978-3-642-04068-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-642-04068-9" target="_blank" >10.1007/978-3-642-04068-9</a>

Result language
angličtina
Original language name
A Weak Solvability of the Navier-Stokes Equation with Navier's Boundary Condition Around a Ball Striking the Wall
Original language description
We assume that Bt is a closed ball in the half-space x3>0 in R3, striking the wall (= the x1, x2?plane) at time tc in (0, T ). The speed of the ball at the instant of the collision need not be zero. Although a weak solution to the Navier-Stokes equationwith Dirichlet?s no-slip boundary condition does not exist if the speed of the stroke is non-zero, we prove that such a solution may exist if Dirichlet?s boundary condition is replaced by Navier?s slip boundary condition.
Czech name
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Czech description
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Project
<a href="/en/project/IAA100190905" target="_blank" >IAA100190905: Dynamical properties of the Navier-Stokes and related equations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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