@article {2002,
	title = {On a Lyapunov functional relating shortening curves and viscous conservation laws},
	journal = {Nonlinear Anal. 51 (2002) 649-662},
	number = {SISSA;123/99/M},
	year = {2002},
	publisher = {Elsevier},
	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.},
	doi = {10.1016/S0362-546X(01)00848-3},
	url = {http://hdl.handle.net/1963/1337},
	author = {Stefano Bianchini and Alberto Bressan}
}
