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We propose a modification of the hydrodynamic model of the dynamics inultrarelativistic nuclear collisions. A modification of the energy-momentumtensor at the initial stage describes the lack of isotropization of thepressure. Subsequently, the pressure is relaxing towards the equilibriumisotropic form in the local comoving frame. Within the Bjorken scaling solutiona bound is found on the decay time of the initial anisotropy of theenergy-momentum tensor. For the strongest dissipative effect allowed, we find arelative entropy increase of about 30%, a significant hardening of thetransverse momentum spectra, and no effect on the HBT radii.

Dissipation in the very early stage of the hydrodynamic evolution in relativistic heavy ion collisions