کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
838928 908377 2009 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence, semiclassical limit and long-time behavior of weak solution to quantum drift-diffusion model
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Existence, semiclassical limit and long-time behavior of weak solution to quantum drift-diffusion model
چکیده انگلیسی

The existence, semiclassical limit and long-time behavior of weak solutions to the transient quantum drift-diffusion model are studied. Using semi-discretization in time and entropy estimate, we get the global existence and semiclassical limit of nonnegative weak solutions to one-dimensional isentropic model with nonnegative initial and homogeneous Neumann (or periodic) boundary conditions. Furthermore, by a logarithmic Sobolev inequality, we obtain an inequality of the periodic weak solution to this model (or its isothermal case) which shows that the solution exponentially approaches its mean value as time increases to infinity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 10, Issue 3, June 2009, Pages 1321–1342
نویسندگان
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