Hele-Shaw flows with nonlinear kinetic undercooling regularization

被引：8
|
作者：
Pleshchinskii, NB
Reissig, M [1 ]
机构：
[1] Kazan VI Lenin State Univ, Dept Math Appl, Kazan 420008, Russia
[2] TU Bergakad Freiberg, Fac Math & Comp Sci, D-09596 Freiberg, Germany
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 50卷 / 02期
关键词：
Hele-Shaw flows; kinetic undercooling regularization; nonlinear boundary value problems; local existence; analytic solutions;
D O I：
10.1016/S0362-546X(01)00745-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Hele-Shaw flows with nonlinear kinetic undercooling regularization were discussed. The velocity vector field v ≡ (vx, vy)of a two-dimensional flow driven by a single sink at the origin with continuous intensity q0 = q0(t) was found. The nonlinear system of equations for the coefficients h̃n was reported.
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页码：191 / 203
页数：13
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