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@MISC{,
            author = {Burczak, Jan and M{\'{a}}lek, Josef and Minakowski, Piotr},
             title = {Stress-diffusive regularizations of non-dissipative rate-type materials},
            volume = {10},
            number = {6},
              year = {2017},
             pages = {1233-1256},
          abstract = {We consider non-dissipative (elastic) rate-type material models that are derived within the Gibbspotential-
based thermodynamic framework. Since the absence of any dissipative mechanism in the
model prevents us from establishing even a local-in-time existence result in two spatial dimensions
for a spatially periodic problem, we propose two regularisations. For such regularized problems we
obtain well-posedness of the planar, spatially periodic problem. In contrast with existing results, we
prove ours for a regularizing term present solely in the evolution equation for the stress.},
  Preprint project = {MORE},
     Preprint year = {2017},
   Preprint number = {03},
       Preprint ID = {MORE/2017/03}
}

