Stability of shock waves for a single conservation law
β Scribed by Martin Golubitsky; David G Schaeffer
- Book ID
- 107709748
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 334 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We introduce a simple model of two conservation laws which is strictly hyperbolic except for a degenerate parabolic line in the state space. Besides classical shock waves, it also exhibits overcompressive, marginal overcompressive, and marginal undercompressive shock waves. Our purpose is to study t
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
We show that the continuum shock profiles for dissipative difference schemes constructed in Part I are nonlinearly stable. It is shown first that the profiles have the conservation property, obtained as the limit of the discrete version for profiles with nearby rational, quasi-Diophantine speeds. Th