scholarly journals Projection Based Model Reduction for Optimal Design of the Time-dependent Stokes System

Author(s):  
Thomas Franke ◽  
Ronald H. W. Hoppe ◽  
Christopher Linsenmann ◽  
Achim Wixforth
2021 ◽  
pp. 111684
Author(s):  
A.G. Nouri ◽  
H. Babaee ◽  
P. Givi ◽  
H.K. Chelliah ◽  
D. Livescu

2015 ◽  
Vol 35 (7) ◽  
pp. 3039-3057 ◽  
Author(s):  
Grzegorz Karch ◽  
◽  
Xiaoxin Zheng ◽  

Author(s):  
Jean-Yves Chemin ◽  
Benoit Desjardins ◽  
Isabelle Gallagher ◽  
Emmanuel Grenier

In this chapter we intend to investigate the stability of the Leray solutions constructed in the previous chapter. It is useful to start by analyzing the linearized version of the Navier–Stokes equations, so the first section of the chapter is devoted to the proof of the well-posedness of the time-dependent Stokes system. The study will be applied in Section 3.2 to the two-dimensional Navier–Stokes equations, and the more delicate case of three space dimensions will be dealt with in Sections 3.3–3.5.


2013 ◽  
Vol 254 (1) ◽  
pp. 125-140 ◽  
Author(s):  
Eduard Feireisl ◽  
Ondřej Kreml ◽  
Šárka Nečasová ◽  
Jiří Neustupa ◽  
Jan Stebel

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