A FINITE POLYNOMIAL SOLUTION OF THE 2-DIMENSIONAL INTERFACE DYNAMICS

被引：23
|
作者：
MINEEV, MB
机构：
[1] Department of Physics and Astronomy, Northwestern University, Evanston
来源：
PHYSICA D | 1990年 / 43卷 / 2-3期
关键词：
D O I：
10.1016/0167-2789(90)90137-E
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The nonlocal nonlinear partial differential equation which describes the dynamics of the interface of the two-dimensional Stefan problem, is solved explicitly with an ansatz of finite polynomials and reduced to a finite set of algebraic polynomial equations. The constants of motion and recurrent formulas for the polynomial coefficients are presented. The functional equation for the interfacial form is derived. © 1990.
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页码：288 / 292
页数：5
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