Abstract
For a linear transport equation in one space dimension with speeds in a compact interval and a general symmetric kernel for the change of velocity a problem with free boundary (Stefan problem) is stated. The case of constant speed corresponds to a Stefan problem for the damped wave equation (telegraph equation). Existence and uniqueness of the free boundary is shown, and the connection to the classical Stefan problem (parabolic limit) is exhibited.
| Original language | English |
|---|---|
| Pages (from-to) | 859-881 |
| Number of pages | 23 |
| Journal | Zeitschrift fur Analysis und ihre Anwendung |
| Volume | 20 |
| Issue number | 4 |
| State | Published - 2001 |
| Externally published | Yes |
Keywords
- Correlated random walk
- Free boundary
- Telegraph and transport equations