On the evolution of curves via a function of curvature. I. The classical case

Journal of Mathematical Analysis and Applications

Volumn 163, Issue 2, 1992, Pages 438-458

  Kimia, Benjamin B ^a   Tannenbaum, Allen ^b,c   Zucker, Steven W ^a  

^a MCGILL UNIVERSITY   (Canada)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004707344     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/0022-247X(92)90260-K     Document Type: Article

References (15)

1. Parabolic equations for curves and surfaces, I
2. Parabolic equations for curves and surfaces, II
3. Dynamics of interfacial pattern formation
4. Geometrical models of interface evolution
5. The heat equation shrinking plane curves
6. On an area-preserving evolution equation for plane curves
7. The heat equation shrinks embedded plane curves to round points
8. Toward a computational theory of shape: An overview
9. Conservations Laws and a Theory of Shape
10. Instabilities and pattern formation in crystal growth
11. Shock waves and entropy
12. SIAM Regional Conference Series in Applied Mathematics
13. Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
14. Curvature and the evolution of fronts
15. Nonlinear analysis of hydrodynamic instability in laminar flames. I. Derivation of basic equations