Regularity properties of the attractor to the Navier–Stokes equations
Tom 37 / 2010
                    
                    
                        Applicationes Mathematicae 37 (2010), 341-351                    
                                        
                        MSC: 35Q35, 76D03, 76D05.                    
                                        
                        DOI: 10.4064/am37-3-5                    
                                    
                                                Streszczenie
Existence of a global attractor for the Navier–Stokes equations describing the motion of an incompressible viscous fluid in a cylindrical pipe has been shown already. In this paper we prove the higher regularity of the attractor.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            