Geodesic
Solution to the stationary problem of glacier dynamics
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 10, pp. 1827-1839

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A stationary problem of the non-Newtonian fluid dynamics is applied to the modeling of an alpine glacier motion with Dirichlet boundary conditions corresponding to the ice increment in the upper part of the glacier and to the ice meltdown in its lower part. The existence of a weak solution in a functional class with the first-order derivatives integrable to the power $q>6/5$ is established for sufficiently small given boundary data. The proof is largely based on regularizing weak solutions and using properties of monotone operators. 
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     author = {M. E. Bogovskii and L. Mantello and H. Yashima-Fujita},
     title = {Solution to the stationary problem of glacier dynamics},
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     number = {10},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_10_a8/}
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M. E. Bogovskii; L. Mantello; H. Yashima-Fujita. Solution to the stationary problem of glacier dynamics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 10, pp. 1827-1839. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_10_a8/