TY  - GEN 
T1  - Stress-diffusive regularizations of non-dissipative rate-type materials
A1  - Burczak, Jan
A1  - Málek, Josef
A1  - Minakowski, Piotr
Y1  - 2017
VL  - 10
IS  - 6
SP  - 1233
EP  - 1256
N2  - 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.
M1  - Preprint project = MORE
M1  - Preprint year = 2017
M1  - Preprint number = 03
M1  - Preprint ID = MORE/2017/03
ER  -