We consider the motion of a multidimensional viscoelastic continuum which subjects some fractional constitutive law. The weak solvability of a corresponding initial-boundary value problem is established.
Topics
Viscoelasticity
REFERENCES
1.
F.
Mainardi
and G.
Spada
, The European Physical Journal, Special Topics
193
, 133
–160
(2011
).2.
V. G.
Zvyagin
, J. Math. Sciences
124
(5
), 5321
–5334
(2004
).3.
V. G.
Zvyagin
and M. V.
Turbin
, Mathematical Problems of Hydrodynamics of Viscoelastic Media
(Krassand
, 2012
, in Russian).4.
5.
V. G.
Zvyagin
and V. P.
Orlov
, Discrete and Continuous Dynamical Systems, Series A
38
(12
), 6327
–6350
(2018
).6.
V. G.
Zvyagin
and V. P
Orlov
, Sib. Mat. J.
59
(6
), 1073
–1089
(2018
).7.
V. G.
Zvyagin
and V. P.
Orlov
, Nonlinear Analysis: TMA
172
, 73
–98
(2018
).8.
V.
Zvyagin
and V.
Orlov
, Discrete and Continuous Dynamical Systems, Series B
23
(9
), 3855
–3877
(2018
).9.
R.
Temam
, Navier-Stokes Equations, Theory and Numerical Analysis
(AMS
, Providence, RI
, 2000
).10.
V. G.
Zvyagin
and V. T.
Dmitrienko
, Differ. Equ.
38
(1
), 1731
–1744
(2002
).11.
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