Geodesic
The Cauchy problem for a quasilinear parabolic equation with a large initial gradient and low viscosity
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 4, pp. 699-706 
S. V. Zakharov. The Cauchy problem for a quasilinear parabolic equation with a large initial gradient and low viscosity. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 4, pp. 699-706. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_4_a7/
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     title = {The {Cauchy} problem for a quasilinear parabolic equation with a large initial gradient and low viscosity},
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     language = {ru},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The Cauchy problem for a quasilinear parabolic equation with a small parameter $\varepsilon$ multiplying the highest derivative is considered. The derivative of the initial function is on the order of $O(1/\rho)$, where $\rho$ is another small parameter. Asymptotic expansions of the solution in powers of $\varepsilon$ and $\rho$ are constructed in various forms.

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