On nonhomogeneous boundary value problem for the stationary Navier-Stokes equations in a symmetric cusp domain
| Autor: | Neringa Kloviene, Kristina Kaulakyte |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Cusp (singularity)
multiply connected domain stationary Navier-Stokes equations nonhomogeneous boundary condition cusp point singularity nonzero fluxes stationary navier–stokes equations 010102 general mathematics Mathematical analysis 01 natural sciences Domain (mathematical analysis) 010101 applied mathematics Modeling and Simulation QA1-939 Boundary value problem 0101 mathematics Navier–Stokes equations Analysis Mathematics |
| Zdroj: | Mathematical Modelling and Analysis, Vol 26, Iss 1, Pp 55-71 (2021) Mathematical modelling and analysis, Vilnius : Vilnius Tech Press, 2021, vol. 26, no. 1, p. 55-71 Mathematical Modelling and Analysis; Vol 26 No 1 (2021); 55-71 |
| ISSN: | 1648-3510 1392-6292 |
| Popis: | The nonhomogeneous boundary value problem for the stationary NavierStokes equations in 2D symmetric multiply connected domain with a cusp point on the boundary is studied. It is assumed that there is a source or sink in the cusp point. A symmetric solenoidal extension of the boundary value satisfying the LerayHopf inequality is constructed. Using this extension, the nonhomogeneous boundary value problem is reduced to homogeneous one and the existence of at least one weak symmetric solution is proved. No restrictions are assumed on the size of fluxes of the boundary value. |
| Databáze: | OpenAIRE |
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