Boundary Effect on a Stationary Viscous Shock Wave for Scalar Viscous Conservation Laws
β Scribed by Kenji Nishihara
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 116 KB
- Volume
- 255
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
We are interested in the pointwise behavior of the perturbations of shock waves for viscous conservation laws. It is shown that, besides a translation of the shock waves and of linear and nonlinear diffusion waves of heat and Burgers equations, a perturbation also gives rise to algebraically decayin
## Abstract This paper is concerned with the interaction of elementary waves on a bounded domain for scalar conservation laws. The structure and large time asymptotic behaviours of weak entropy solution in the sense of Bardos __et al__. (Comm. Partial Differential Equations 1979; 4: 1017) are clari
The properties of the nonlinear viscous transonic equation is analysed in detail. The Painlev6 test shows that it is not completely integrable. The equation does not reduce to a member of Painlev6 class by any similarity transformation of variables. ## Lie-Symmetrie, Erhaltungssatxe und Painled-Ana
In a previous paper, we have studied the asymptotic behavior of a viscous fluid satisfying Navier's law on a periodic rugous boundary of period e and amplitude d e , with d e / e tending to zero. In the critical size, d e βΌe 3/2 , in order to obtain a strong approximation of the velocity and the pre