Geodesic
Asymptotic solution of a Cauchy problem in a neighbourhood
Sbornik. Mathematics, Tome 197 (2006) no. 6, pp. 835-851

Voir la notice de l'article provenant de la source Math-Net.Ru

The existence of an asymptotic solution of a quasilinear parabolic equation with a small parameter is proved in a neighbourhood of the transition point of a weak discontinuity of the solution of the limiting equation into a shock wave. The behaviour of the first two coefficients of this asymptotic solution is studied in the entire plane of the stretched variables. Bibliography: 4 titles. 
@article{SM_2006_197_6_a2,
     author = {S. V. Zakharov},
     title = {Asymptotic solution of a {Cauchy} problem in a neighbourhood},
     journal = {Sbornik. Mathematics},
     pages = {835--851},
     publisher = {mathdoc},
     volume = {197},
     number = {6},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2006_197_6_a2/}
}
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S. V. Zakharov. Asymptotic solution of a Cauchy problem in a neighbourhood. Sbornik. Mathematics, Tome 197 (2006) no. 6, pp. 835-851. http://geodesic.mathdoc.fr/item/SM_2006_197_6_a2/