کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616452 1339349 2014 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The interaction of waves for the ultra-relativistic Euler equations
ترجمه فارسی عنوان
تعامل امواج برای معادلات اویلر فوق العاده نسبیتی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
The interactions between nonlinear waves for the ultra-relativistic Euler equations for an ideal gas are studied. These equations are described in terms of the pressure p and the spatial part u∈R3 of the dimensionless four-velocity. A new function, which measures the strengths of the waves of the ultra-relativistic Euler equations is presented, and sharp estimates for these strengths are derived. The interpretation of the strength for the Riemann solution is given. This function has the important implication that the strength is non increasing for the interactions of waves for the system. This study of interaction estimates also allows to determine the type of the outgoing Riemann solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 409, Issue 2, 15 January 2014, Pages 1140-1158
نویسندگان
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