Pseudo-Monotone Operator Theory for Unsteady Problems wit...
Kaltenbach, Alex
This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(., .)-Navier¿Stokes equations describing the motion of an incompressible electro-rheological fluid. Due to the variable dependence of the power-law index p(., .) in this system, the classical weak existence analysis based on the pseudo-monotone operator the...