%Aigaion2 BibTeX export from Bibliography database
%Friday 01 May 2026 09:00:21 AM

@ARTICLE{,
            author = {Abbatiello, Anna and Bul{\'{\i}}{\v c}ek, Miroslav and Maringov{\'{a}}, Erika},
          keywords = {dynamic slip, existence, Implicit constitutive theory, large data, weak solution},
             title = {On the dynamic slip boundary condition for Navier--Stokes-like problems},
           journal = {Math. Models Methods Appl. Sci.},
            volume = {31},
            number = {11},
              year = {2021},
             pages = {2165--2212},
               doi = {10.1142/S0218202521500470},
          abstract = {The choice of the boundary conditions in mechanical problems has to reflect the interaction of the considered material with the surface, despite the assumption of the no-slip condition is preferred to avoid boundary terms in the analysis and slipping effects are usually overlooked. Besides the ``static slip models", there are phenomena not accurately described by them, e.g. in the moment when the slip changes rapidly, the wall shear stress and the slip  can exhibit a sudden overshoot and subsequent  relaxation. When these effects become significant, the so-called dynamic slip phenomenon occurs. We develop a mathematical analysis of Navier-Stokes-like problems with dynamic slip boundary condition, which requires a proper generalisation of the Gelfand triplet and the corresponding function spaces setting.},
  Preprint project = {NCMM},
     Preprint year = {2020},
   Preprint number = {10},
       Preprint ID = {NCMM/2020/10}
}