排序方式: 共有44条查询结果,搜索用时 0 毫秒
1.
Translated from Matematicheskie Zametki, Vol. 57, No. 3, pp. 338–349, March, 1995. 相似文献
2.
3.
4.
For a singularly perturbed parabolic equation, asymptotics of the solution to an initial boundary value problem in the case of a triple root of the degenerate equation is constructed and justified. Essential distinctions from the case of a simple root are the scale of the boundary layer variables and the three-zone structure of the boundary layer. 相似文献
5.
6.
V. F. Butuzov N. T. Levashova A. A. Mel’nikova 《Computational Mathematics and Mathematical Physics》2012,52(11):1526-1546
A singularly perturbed boundary value problem for a system of equations with different powers of a small parameter is considered in the one-dimensional case. The asymptotic behavior and existence of a solution with an internal transition layer are analyzed. The asymptotics are substantiated using the asymptotic method of differential inequalities. 相似文献
7.
8.
For a singularly perturbed parabolic equation, we construct and justify the asymptotics of the classical solution of an initial-boundary value problem in the case of a double root of the degenerate equation. This case substantially differs from the case of a simple root in that the scales of the boundary layer variables are different. 相似文献
9.
V. F. Butuzov 《Computational Mathematics and Mathematical Physics》2007,47(4):620-628
The singularly perturbed parabolic equation ?u t + ε2Δu ? f(u, x, ε) = 0, x ∈ D ? ?2, t > 0 with Robin conditions on the boundary of D is considered. The asymptotic stability as t → ∞ and the global domain of attraction are analyzed for the stationary solution whose limit as ε → 0 is a nonsmooth solution to the reduced equation f(u, x, 0) = 0 that consists of two intersecting roots of this equation. 相似文献
10.