کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897567 1044549 2006 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Similarity solutions of an equation describing ice sheet dynamics
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Similarity solutions of an equation describing ice sheet dynamics
چکیده انگلیسی
This paper focuses upon the derivation of the similarity solutions of a nonlinear equation associated with a free boundary problem arising in glaciology. We present a potential symmetry analysis of this second order nonlinear degenerate parabolic equation related to non-Newtonian ice sheet dynamics in the isothermal case. A full classical and also a non-classical symmetry analysis are presented. After obtaining a general result connecting the thickness function of the ice sheet and the solution of the nonlinear equation (without any unilateral formulation), a particular example of a similarity solution to a problem formulated with Cauchy boundary conditions is described. This allows us to obtain several qualitative properties of the free moving boundary in the presence of an accumulation-ablation function with realistic physical properties.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 216, Issue 2, 15 April 2006, Pages 319-326
نویسندگان
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