کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841228 908504 2012 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A self-similar solution for the porous medium equation in a two-component domain
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
A self-similar solution for the porous medium equation in a two-component domain
چکیده انگلیسی

We solve a particular system of nonlinear ODEs defined on the two different components of the real line connected by the nonlinear contact condition w′=h′,h=ψ(w)at the point x=0. We show that, for a prescribed power-law nonlinearity ψψ and using the solution (w,h)(w,h), a self-similar solution to the porous medium equation in the two-component domain can be constructed. We provide the rigorous proof of a theorem in which the formula for the free boundary already presented in Filo and Pluschke (2009) [3] is given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 2, January 2012, Pages 880–898
نویسندگان
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