Stochastic Motion by Mean Curvature

[1]  F. Almgren,et al.  Mathematical existence of crystal growth with Gibbs-Thomson curvature effects , 2000 .

[2]  T. Funaki Singular limit for stochastic reaction-diffusion equation and generation of random interfaces , 1999 .

[3]  Halil Mete Saner,et al.  Ginzburg-Landau equation and motion by mean curvature, I: Convergence , 1997 .

[4]  N. Yip Stochastic perturbations in curvature driven flows , 1996 .

[5]  G. Vojta,et al.  Fractal Concepts in Surface Growth , 1996 .

[6]  Tadahisa Funaki,et al.  The scaling limit for a stochastic PDE and the separation of phases , 1995 .

[7]  S. Luckhaus,et al.  Implicit time discretization for the mean curvature flow equation , 1995 .

[8]  M. Gurtin Thermomechanics of Evolving Phase Boundaries in the Plane , 1993 .

[9]  F. Almgren,et al.  Curvature-driven flows: a variational approach , 1993 .

[10]  Tom Ilmanen,et al.  Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature , 1993 .

[11]  J. Taylor,et al.  II—mean curvature and weighted mean curvature , 1992 .

[12]  Xinfu Chen,et al.  Generation and propagation of interfaces for reaction-diffusion equations , 1992 .

[13]  L. Evans Measure theory and fine properties of functions , 1992 .

[14]  L. Bronsard,et al.  Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics , 1991 .

[15]  L. Evans,et al.  Motion of level sets by mean curvature. II , 1992 .

[16]  Stephan Luckhaus,et al.  Solutions for the two-phase Stefan problem with the Gibbs–Thomson Law for the melting temperature , 1990, European Journal of Applied Mathematics.

[17]  国田 寛 Stochastic flows and stochastic differential equations , 1990 .

[18]  Yun-Gang Chen,et al.  Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations , 1989 .

[19]  Herbert Levine,et al.  Pattern selection in fingered growth phenomena , 1988 .

[20]  Takao Ohta,et al.  Kinetic Drumhead Models of Interface. II , 1982 .

[21]  J. Langer Instabilities and pattern formation in crystal growth , 1980 .

[22]  D. W. Stroock,et al.  Multidimensional Diffusion Processes , 1979 .

[23]  Kenneth A. Brakke,et al.  The motion of a surface by its mean curvature , 2015 .

[24]  E. Giusti Minimal surfaces and functions of bounded variation , 1977 .

[25]  P. Billingsley,et al.  Convergence of Probability Measures , 1970, The Mathematical Gazette.