The Lyapunov functional relating shortening curves and viscous conservation laws was presented. The two points A, B were fixed in the plane R2 and the family FAB of all polygonal lines joining A with B. Results showed that there may not exist a Borel function λ for an arbitrary flux function.
|Original language||English (US)|
|Number of pages||14|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|State||Published - Nov 1 2002|
All Science Journal Classification (ASJC) codes
- Applied Mathematics