کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
839787 | 1470494 | 2014 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The perturbed Riemann problem and delta contact discontinuity in chromatography equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we discuss the perturbed Riemann problem for the nonlinear chromatography equations. The solutions to the problem are constructed with the method of the splitting delta function. In solutions, we find another kind of delta contact discontinuity on which both state variables simultaneously contain the Dirac delta functions. It is quite different from the previous ones on which only one state variable contains the Dirac delta function. This phenomenon is also predicted theoretically by Mazzotti (2009) and Mazzotti et al. (2010). Moreover, by studying the limits of the solutions as the perturbed parameter ε→0ε→0, it can be found that the Riemann solutions are stable for such perturbations with the initial data.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 106, September 2014, Pages 110–123
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 106, September 2014, Pages 110–123
نویسندگان
Lihui Guo, Lijun Pan, Gan Yin,