کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632635 1340650 2010 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
High-order nonlinear boundary value problems admitting multiple exact solutions with application to the fluid flow over a sheet
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
High-order nonlinear boundary value problems admitting multiple exact solutions with application to the fluid flow over a sheet
چکیده انگلیسی

We frame a hierarchy of nonlinear boundary value problems which are shown to admit exponentially decaying exact solutions. We are able to convert the question of the existence and uniqueness of a particular solution to this nonlinear boundary value problem into a question of whether a certain polynomial has positive real roots. Furthermore, if such a polynomial has at least two distinct positive roots, then the nonlinear boundary value problem will have multiple solutions. In certain special cases, these boundary value problems arise in the self-similar solutions for the flow of certain fluids over stretching or shrinking sheets; examples given include the flow of first and second grade fluids over such surfaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 7, 1 June 2010, Pages 2177–2182
نویسندگان
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