Abstract
Consider a viscous scalar conservation law with smooth, possibly non-convex flux. Assume that the (arbitrarily large) initial data remains in a small neighbourhood of given states u−, u+ as x → ± ∞, with u−, u+ connected by a stable shock profile. We then show that the solution eventually forms a viscous shock. The time needed for the shock to appear is the main focus of the present analysis.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-11 |
| Number of pages | 11 |
| Journal | International Journal of Dynamical Systems and Differential Equations |
| Volume | 1 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2007 |
All Science Journal Classification (ASJC) codes
- General Engineering
- Discrete Mathematics and Combinatorics
- Control and Optimization
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