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In the paper [13], we give the full system of equations modelling the motion of a fluid/viscoelastic solid system, and obtain a differential model similar to the so-called Oldroyd model for a viscoelastic fluid. Moreover, existence results in bounded domains are obtained. In this paper we extend the results in [13] to unbounded domains. The unique solvability of the system of equations is established locally in time and globally in time with so-called smallness restrictions. Moreover, existence of a weak solution is treated.
Rodolfo Salvi. "Existence and uniqueness results for non-Newtonian fluids of the Oldroyd type in unbounded domains." Banach Center Publications 70.1 (2005): 209-237. <http://eudml.org/doc/282544>.
@article{RodolfoSalvi2005, abstract = {In the paper [13], we give the full system of equations modelling the motion of a fluid/viscoelastic solid system, and obtain a differential model similar to the so-called Oldroyd model for a viscoelastic fluid. Moreover, existence results in bounded domains are obtained. In this paper we extend the results in [13] to unbounded domains. The unique solvability of the system of equations is established locally in time and globally in time with so-called smallness restrictions. Moreover, existence of a weak solution is treated.}, author = {Rodolfo Salvi}, journal = {Banach Center Publications}, keywords = {Oldroyd model; unbounded domains; unique solvability; smallness restrictions}, language = {eng}, number = {1}, pages = {209-237}, title = {Existence and uniqueness results for non-Newtonian fluids of the Oldroyd type in unbounded domains}, url = {http://eudml.org/doc/282544}, volume = {70}, year = {2005}, }
TY - JOUR AU - Rodolfo Salvi TI - Existence and uniqueness results for non-Newtonian fluids of the Oldroyd type in unbounded domains JO - Banach Center Publications PY - 2005 VL - 70 IS - 1 SP - 209 EP - 237 AB - In the paper [13], we give the full system of equations modelling the motion of a fluid/viscoelastic solid system, and obtain a differential model similar to the so-called Oldroyd model for a viscoelastic fluid. Moreover, existence results in bounded domains are obtained. In this paper we extend the results in [13] to unbounded domains. The unique solvability of the system of equations is established locally in time and globally in time with so-called smallness restrictions. Moreover, existence of a weak solution is treated. LA - eng KW - Oldroyd model; unbounded domains; unique solvability; smallness restrictions UR - http://eudml.org/doc/282544 ER -