Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 16, Tome 156 (1986), pp. 69-72
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N. A. Karazeeva. On a solvability in general on $(0,\infty)$ a main initial boundary-value problem for two-dimentional equations of Oldroyd fluid. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 16, Tome 156 (1986), pp. 69-72. http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a6/
@article{ZNSL_1986_156_a6,
author = {N. A. Karazeeva},
title = {On a~solvability in general on $(0,\infty)$ a~main initial boundary-value problem for two-dimentional equations of {Oldroyd} fluid},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {69--72},
year = {1986},
volume = {156},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a6/}
}
TY - JOUR
AU - N. A. Karazeeva
TI - On a solvability in general on $(0,\infty)$ a main initial boundary-value problem for two-dimentional equations of Oldroyd fluid
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1986
SP - 69
EP - 72
VL - 156
UR - http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a6/
LA - ru
ID - ZNSL_1986_156_a6
ER -
%0 Journal Article
%A N. A. Karazeeva
%T On a solvability in general on $(0,\infty)$ a main initial boundary-value problem for two-dimentional equations of Oldroyd fluid
%J Zapiski Nauchnykh Seminarov POMI
%D 1986
%P 69-72
%V 156
%U http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a6/
%G ru
%F ZNSL_1986_156_a6
For the system $$\begin{cases} \frac{\partial\bar v}{\partial t}+v_k\frac{\partial\bar v}{\partial x_k}-\mu\Delta\bar v-\mathbb K\Delta\bar v+\operatorname{grad} p=\bar f(x,t),\\ \operatorname{div}\bar v=0,\;\mathbb K\bar v=\int_0^tK(t-\tau)v(\tau)\,d\tau,\;K=\sum c_je^{-\zeta_jt},\;c_j,\zeta_j>0 \end{cases}$$ described two-dimentional motion of Oldroyd liquiditis proved a global solvability for $t\in(0,\infty)$.
