کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1709254 1012846 2009 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Ill-posed problems in thermomechanics
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Ill-posed problems in thermomechanics
چکیده انگلیسی

Several thermomechanical models have been proposed from a heuristic point of view. A mathematical analysis should help to clarify the applicability of these models, among those recent thermal or viscoelastic models. Single-phase-lag and dual-phase-lag heat conduction models can be interpreted as formal expansions of delay equations. The delay equations are shown to be ill-posed, as are the formal expansions of higher order — in contrast to lower-order expansions leading to Fourier’s or Cattaneo’s law. The ill-posedness is proved, showing the lack of continuous dependence on the data, and thus showing that these models (delay or higher-order expansion ones) are highly explosive. In this note we shall present conditions for when this happens.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 22, Issue 9, September 2009, Pages 1374–1379
نویسندگان
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