کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10426920 908594 2005 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The generalized nonlinear initial-boundary Riemann problem for quasilinear hyperbolic systems of conservation laws
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
The generalized nonlinear initial-boundary Riemann problem for quasilinear hyperbolic systems of conservation laws
چکیده انگلیسی
In this paper, we study the nonlinear initial-boundary Riemann problem and the generalized nonlinear initial-boundary Riemann problem for quasilinear hyperbolic systems of conservation laws with nonlinear boundary conditions on the domain {(t,x)|t⩾0,x⩾0}. Under the assumption that each positive eigenvalue is either linearly degenerate or genuinely nonlinear, we get the existence and uniqueness of the self-similar solution to the nonlinear initial-boundary Riemann problem and of the global piecewise C1 solution containing only shocks and (or) contact discontinuities to the corresponding generalized nonlinear initial-boundary Riemann problem. It shows that the self-similar solution to the nonlinear initial-boundary Riemann problem possesses the global structural stability.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 62, Issue 6, 1 September 2005, Pages 1091-1107
نویسندگان
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