Nonlocal problems for the equations of filtration of nonnewtonian fluids in porous media
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 10, Tome 189 (1991), pp. 82-100
A. P. Oskolkov; M. M. Achmatov; R. D. Shadiev. Nonlocal problems for the equations of filtration of nonnewtonian fluids in porous media. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 10, Tome 189 (1991), pp. 82-100. http://geodesic.mathdoc.fr/item/ZNSL_1991_189_a6/
@article{ZNSL_1991_189_a6,
     author = {A. P. Oskolkov and M. M. Achmatov and R. D. Shadiev},
     title = {Nonlocal problems for the equations of filtration of nonnewtonian fluids in porous media},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {82--100},
     year = {1991},
     volume = {189},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1991_189_a6/}
}
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The following nonlocal problems for equations of filtration of Oldroyd fluids (1) and Kelvin–Voight fluids (2) in porous media are studied: global classical solvability on the semiaxis $t\in\mathbb{R}^+$ initial boundary-value problems (1), (3), (4) and (2)–(4); global existence theorems of time periodic solutions of equations (1) and equations (2) with time periodic external force $f$.