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@ARTICLE{,
            author = {Bul{\'{\i}}{\v c}ek, Miroslav and Feireisl, Eduard and M{\'{a}}lek, Josef},
          keywords = {Compressible fluid, global--in--time existence, non-Newtonian fluid, stress diffusion, viscoelastic fluid, weak solution},
             title = {On a class of compressible viscoelastic rate-type fluids with stress--diffusion},
           journal = {Nonlinearity},
            volume = {32},
            number = {12},
              year = {2019},
             pages = {4665--4681},
               doi = {10.1088/1361-6544/ab3614},
          abstract = {We develop a mathematical theory for a class of compressible viscoelastic rate-type fluids with stress diffusion. Our approach is based on the concepts used
in the nowadays standard theory of compressible Newtonian fluids as renormalization, effective viscous flux identity, compensated compactness. The presence
of the extra stress, however, requires substantial modification of these techniques, in particular, a new version of the effective viscous flux identity is derived.
With help of these tools, we show the existence of global--in--time weak solutions for any finite energy initial data.},
  Preprint project = {NCMM},
     Preprint year = {2018},
   Preprint number = {10},
       Preprint ID = {NCMM/2018/10}
}