کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904441 1633703 2018 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solutions to quasilinear hyperbolic conservation laws with initial discontinuities
ترجمه فارسی عنوان
راه حل های قانون حفاظت هذلولی خطی با اختلالات اولیه
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
We study the singular structure of a family of two dimensional non-self-similar global solutions and their interactions for quasilinear hyperbolic conservation laws. For the case when the initial discontinuity happens only on two disjoint unit circles and the initial data are two different constant states, global solutions are constructed and some new phenomena are discovered. In the analysis, we first construct the solution for 0 ≤ t < T*. Then, when T*≤ t < T', we get a new shock wave between two rarefactions, and then, when t>T', another shock wave between two shock waves occurs. Finally, we give the large time behavior of the solution when t→∞. The technique does not involve dimensional reduction or coordinate transformation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 38, Issue 1, January 2018, Pages 203-219
نویسندگان
, ,