کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839181 1470457 2016 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A dynamical systems approach for the contact-line singularity in thin-film flows
ترجمه فارسی عنوان
رویکرد سیستم های دینامیکی برای تکینگی تماس خط در جریان نازک فیلم
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی

We are interested in a complete characterization of the contact-line singularity of thin-film flows for zero and nonzero contact angles. By treating the model problem of source-type self-similar solutions, we demonstrate that this singularity can be understood by the study of invariant manifolds of a suitable dynamical system. In particular, we prove regularity results for singular expansions near the contact line for a wide class of mobility exponents and for zero and nonzero dynamic contact angles. Key points are the reduction to center manifolds and identifying resonance conditions at equilibrium points. The results are extended to radially-symmetric source-type solutions in higher dimensions. Furthermore, we give dynamical systems proofs for the existence and uniqueness of self-similar droplet solutions in the nonzero dynamic contact-angle case.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 144, October 2016, Pages 204–235
نویسندگان
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