We consider the system of equations describing flow incompressible fluids in bounded domain. In considered setting, Cauchy stress tensor is a monotone mapping and has asymptotically (s−1)-growth with parameter s depending on spatial time variable. do not assume any smoothness respect to variable log-Hölder continuity Such setting natural choice if material properties are instantaneous, e.g. cha...

During the past few decades molecular dynamics has been a widely applied tool to simulate fluid confined in micro/nano geometries. What makes interfacial fluids fundamentally different from the bulk fluid is the fact that their density varies considerably over microscopic distances. A class of such strongly inhomogeneous fluids are fluids confined in very narrow channels by solid boundaries. In...