Multidimensional pattern formation has an infinite number of constants of motion
نویسندگان
چکیده
منابع مشابه
Multidimensional pattern formation has an infinite number of constants of motion.
Extending our previous work on 2D growth for the Laplace equation we study here multidimensional growth for arbitrary elliptic equations, describing inhomogeneous and anisotropic pattern formations processes. We find that these nonlinear processes are governed by an infinite number of conservation laws. Moreover, in many cases all dynamics of the interface can be reduced to the linear time–depe...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1993
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.47.r2241