| Title | On a Lyapunov functional relating shortening curves and viscous conservation laws |
| Publication Type | Journal Article |
| Year of Publication | 2002 |
| Authors | Bianchini, S, Bressan, A |
| Journal | Nonlinear Anal. 51 (2002) 649-662 |
| Abstract | We study a nonlinear functional which controls the area swept by a curve moving in the plane in the direction of curvature. In turn, this yields a priori estimates on solutions to a class of parabolic equations and of scalar viscous conservation laws. A further application provides an estimate on the \\\"change of shape\\\" of a BV solution to a scalar conservation law. |
| URL | http://hdl.handle.net/1963/1337 |
| DOI | 10.1016/S0362-546X(01)00848-3 |
Research Group: