TY - JOUR
T1 - On a Lyapunov functional relating shortening curves and viscous conservation laws
AU - Bianchini, Stefano
AU - Bressan, Alberto
PY - 2002/11
Y1 - 2002/11
N2 - 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.
AB - 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.
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U2 - 10.1016/S0362-546X(01)00848-3
DO - 10.1016/S0362-546X(01)00848-3
M3 - Article
AN - SCOPUS:0036833129
SN - 0362-546X
VL - 51
SP - 649
EP - 662
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 4
ER -