کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9501736 1338782 2005 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global structure instability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: Rarefaction waves
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Global structure instability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: Rarefaction waves
چکیده انگلیسی
This work is a continuation of our previous work (Kong, J. Differential Equations 188 (2003) 242-271) “Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities”. In the present paper we prove the global structure instability of the Lax's Riemann solution u=U(xt), containing rarefaction waves, of general n×n quasilinear hyperbolic system of conservation laws. Combining the results in (Kong, 2003), we prove that the Lax's Riemann solution of general n×n quasilinear hyperbolic system of conservation laws is globally structurally stable if and only if it contains only non-degenerate shocks and contact discontinuities, but no rarefaction waves and other weak discontinuities.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 219, Issue 2, 15 December 2005, Pages 421-450
نویسندگان
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