The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier-Stokes equations

1978 ◽  
Vol 10 (1) ◽  
pp. 141-155 ◽  
Author(s):  
V. A. Solonnikov
Keyword(s):  
Boundary Value Problem ◽  
Stokes Equations ◽  
Linear Time ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Time Dependent ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Initial Boundary Value

scholarly journals The topological degree method for equations of the Navier-Stokes type

1997 ◽  
Vol 2 (1-2) ◽  
pp. 1-45 ◽  
Author(s):  
V. T. Dmitrienko ◽  
V. G. Zvyagin
Keyword(s):  
Boundary Value Problem ◽  
Stokes Equations ◽  
Degree Theory ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Existence Of Weak Solutions ◽  
Initial Boundary Value ◽  
Topological Degree Method

We obtain results of existence of weak solutions in the Hopf sense of the initial-boundary value problem for the generalized Navier-Stokes equations containing perturbations of retarded type. The degree theory for mapsA−g, whereAis invertible andgis𝒜-condensing, is used.

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