On the anisotropic Orlicz spaces applied in the problems of continuum mechanics
Piotr Gwiazda, Piotr Minakowski, Agnieszka Świerczewska-Gwiazda · Discrete and Continuous Dynamical Systems - S · 2013
The paper concerns theory of anisotropic Orlicz spaces and its applications in continuum mechanics.Our main motivations are e.g. flow of non-Newtonian fluid and response of inelastic materialswith non-standard growth conditions of the Cauchy stress tensor.The set of basic definitions and theorems with proofs is presented.We prove the existence of a weak solutions to the generalized Stokes system.Overview covering recent results in the referred topic is given.