[1] Chou K S, Wo W F. On hyperbolic Gauss curvature flows. J Differential Geom, 2011, 89:455-485 [2] Gage M, Hamilton R. The heat equation shrinking concex plane curves. J Differential Geom, 1986, 23:417-491 [3] Halldorsson H P. Self-similar solutions to the curve shortening flow. Transactions of the American Mathematical Society, 2012, 364:5285-5309 [4] He C L. Kong D X, Liu K F. Hyperbolic mean curvature flow. J Differential Equations, 2009, 246:373-390 [5] Huisken G, Ilmanen T. The inverse mean curvature flow and the Riemann Penrose inequality. J Differential Geom, 2001, 59:353-437 [6] Kong D X, Liu K F, Wang Z G. Hyperbolic mean curvature flow:evolution of plane curves. Acta Mathematica Scientia, 2009, 29:493-514 [7] Kong D X, Wang Z G. Formation of singularities in the motion of plane curves under hyperbolic mean curvature flow. J Differential Equations, 2009, 247:1694-1719 [8] LeFloch P G, Smoczyk K. The hyperbolic mean curvature flow. J Math Pures Appl, 2008, 90:591-614 [9] Wang Z G. Hyperbolic mean curvature flow in Minkowski space. Nonlinear Analysis, 2014, 94:259-271 [10] Wang Z G. Blow-up of periodic solutions to reducible quasilinear hyperbolic systems. Nonlinear Analysis, 2010, 73:704-712 |