کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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842532 | 908534 | 2008 | 26 صفحه PDF | دانلود رایگان |
This work is a continuation of our previous work [Z.-Q. Shao, Global structure instability of Riemann solutions for general quasilinear hyperbolic systems of conservation laws in the presence of a boundary, J. Math. Anal. Appl. 330 (1) (2007) 511-540]. In the present paper, we study the global structure stability of the Riemann solution u=U(xt), containing only shocks and contact discontinuities, of general n×nn×n quasilinear hyperbolic systems of conservation laws in the presence of a boundary. We prove the existence and uniqueness of global piecewise C1C1 solution containing only shocks and contact discontinuities to a class of the mixed initial-boundary-value-problem for general n×nn×n quasilinear hyperbolic systems of conservation laws in the half space {(t,x)|t≥0,x≥0}{(t,x)|t≥0,x≥0}. Our result indicates that this kind of Riemann solution u=U(xt) mentioned above for general n×nn×n quasilinear hyperbolic systems of conservation laws in a half space possesses a global structural stability. Some applications to quasilinear hyperbolic systems of conservation laws arising in physics and other disciplines are also given.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 69, Issue 8, 15 October 2008, Pages 2651–2676