stokes system
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2021 ◽  
Vol 64 (3) ◽  
pp. 349-360
Author(s):  
Jishan Fan ◽  
Tohru Ozawa

2021 ◽  
Vol 62 ◽  
pp. 103374
Author(s):  
Ying Yang ◽  
Chunhua Jin
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2021 ◽  
Vol 26 (4) ◽  
pp. 651-668
Author(s):  
Konstantinas Pileckas ◽  
Alicija Raciene

The boundary value problem for the steady Navier–Stokes system is considered in a 2D bounded domain with the boundary having a power cusp singularity at the point O. The case of a boundary value with a nonzero flow rate is studied. In this case there is a source/sink in O and the solution necessarily has an infinite Dirichlet integral. The formal asymptotic expansion of the solution near the singular point is constructed and the existence of a solution having this asymptotic decomposition is proved.


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