From weak discontinuity to gradient catastrophe

被引：3
|
作者：
Zakharov, SV [1 ]
Il'in, AM [1 ]
机构：
[1] RAS, Ural Branch, Inst Math & Mech, Ekaterinburg, Russia
来源：
SBORNIK MATHEMATICS | 2001年 / 192卷 / 9-10期
关键词：
D O I：
10.1070/SM2001v192n10ABEH000599
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Cauchy problem for a quasilinear parabolic equation with small parameter at the highest derivative is considered in the case when the solution of the degenerate equation has a weak discontinuity subsequently turning into a strong discontinuity. The singularities that the coefficients of the asymptotic formula representing the solution in the boundary layer of the weak discontinuity develop on approaching the point of the gradient catastrophe are analysed.
引用
收藏
页码：1417 / 1433
页数：17
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