Abstract.
For an evolutionary nonlinear fluid model characterized by the viscosity being a decreasing function of the modulus of the symmetric velocity gradient we establish the global-in-time existence of the solution with the Hölder continuous velocity gradients. Such a solution is unique in the class of weak solutions. We deal with the two dimensional space periodic problem.
Similar content being viewed by others
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kaplický, P., Málek, J. & Stará, J. Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities. NoDEA, Nonlinear differ. equ. appl. 9, 175–195 (2002). https://doi.org/10.1007/s00030-002-8123-z
Issue Date:
DOI: https://doi.org/10.1007/s00030-002-8123-z