کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615191 1339310 2015 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Two-dimensional Riemann problem involving three contact discontinuities for 2×22×2 hyperbolic conservation laws in anisotropic media
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Two-dimensional Riemann problem involving three contact discontinuities for 2×22×2 hyperbolic conservation laws in anisotropic media
چکیده انگلیسی

In this study, we consider the two-dimensional Riemann problem for a system of conservation laws, which models polymer flooding in an anisotropic oil reservoir. The initial data are constants in three sectors centered at the origin, which only involve three contact discontinuities. By the generalized characteristic analysis method and the phase plane analysis method, we find that the solutions are not unique for certain values of the initial data. We propose an additional stability condition for the interaction of the contact discontinuities. By this stability condition, all of the exact solutions and their corresponding criteria can be obtained. The solutions exhibit various geometrical structures. In particular, envelope rarefaction waves develop in some solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 428, Issue 1, 1 August 2015, Pages 77–97
نویسندگان
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