Attractors of approximations to non-autonomous evolution equations
Sbornik. Mathematics, Tome 188 (1997) no. 6, pp. 843-852

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Results on the upper semicontinuous dependence on the parameter of the uniform attractors for families of semiprocesses are established. A semi-explicit spectral-difference scheme for the vorticity equation on a sphere with time-dependent right-hand side is considered. The uniform attractors in this scheme are shown to be close to the uniform attractor of the equation.
@article{SM_1997_188_6_a2,
     author = {V. M. Ipatova},
     title = {Attractors of approximations to non-autonomous evolution equations},
     journal = {Sbornik. Mathematics},
     pages = {843--852},
     publisher = {mathdoc},
     volume = {188},
     number = {6},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1997_188_6_a2/}
}
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V. M. Ipatova. Attractors of approximations to non-autonomous evolution equations. Sbornik. Mathematics, Tome 188 (1997) no. 6, pp. 843-852. http://geodesic.mathdoc.fr/item/SM_1997_188_6_a2/