کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4617462 1339382 2012 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic behavior of global classical solutions to Goursat problem of quasilinear hyperbolic systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Asymptotic behavior of global classical solutions to Goursat problem of quasilinear hyperbolic systems
چکیده انگلیسی

This work is concerned with the asymptotic behavior of global C1C1 solutions of the Goursat problem for quasilinear hyperbolic systems. We prove that when tt tends to the infinity, the solutions approach a combination of C1C1 traveling wave solutions at algebraic rate (1+t)−μ(1+t)−μ, provided that the boundary data decay at the rate (1+t)−(1+μ)(1+t)−(1+μ), where μμ is a positive constant. Finally, we give an application to the equation for motion of an elastic string.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 392, Issue 2, 15 August 2012, Pages 200–208
نویسندگان
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