کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839921 1470501 2014 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global existence for diffusion–electromigration systems in space dimension three and higher
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Global existence for diffusion–electromigration systems in space dimension three and higher
چکیده انگلیسی

We prove existence of global weak solutions for the Nernst–Planck–Poisson problem which describes the evolution of concentrations of charged species X1,…,XPX1,…,XP subject to Fickian diffusion and chemical reactions in the presence of an electrical field, including in particular the Boltzmann statistics case. In contrast to the existing literature, existence is proved in any dimension. Moreover, we do not need the assumption P=2P=2 nor the assumption of equal diffusivities for all PP components. Our approach relies on the intrinsic energy structure and on an adequate nonlinear and curiously more regular approximate problem. The delicate passing to the limit is done in adequate functional spaces which lead to only weak solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 99, April 2014, Pages 152–166
نویسندگان
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