已为您找到该学者12条结果 成果回收站
【期刊论文】Stability of Riemann solutions with large oscillation for the relativistic Euler equations
李亚纯, Gui-Qiang Chen a, b, * and Yachun Li a
J. Differential Equations 202 (2004) 332-353,-0001,():
-1年11月30日
We are concerned with entropy solutions of the 2×2 relativistic Euler equations for perfect fluids in special relativity. We establish the uniqueness of Riemann solutions in the class of entropy solutions in L∞⌒BVloc with arbitrarily large oscillation. Our proof for solutions with large oscillation is based on a detailed analysis of global behavior of shock curves in the phase space and on special features of centered rarefaction waves in the physical plane for this system. The uniqueness result does not require specific reference to any particular method for constructingthe entropy solutions. Then the uniqueness of Riemann solutions yields their inviscid large-time stability under arbitrarily large L1⌒L∞⌒BVloc perturbation of the Riemann initial data, as longas the corresponding solutions are in LN and have local bounded total variation that allows the linear growth in time. We also extend our approach to deal with the uniqueness and stability of Riemann solutions containingvacuum in the class of entropy solutions in LN with arbitrarily large oscillation.
Relativistic Euler equations, Special relativity, Discontinuous entropy solutions, Riemann solutions, Uniqueness, Large-time stability, Lorentz transformation, Scaling sequence, Compactness
-
55浏览
-
0点赞
-
0收藏
-
0分享
-
90下载
-
0
-
引用
李亚纯, LI Yachun*, WANG Libo**
Chin. Ann. Math. 26B: 4 (2005), 491-510,-0001,():
-1年11月30日
The global stability of Lipschitz continuous solutions with discontinuous initial data for the relativistic Euler equations is established in a broad class of entropy solutions in L∞ containing vacuum states. As a corollary, the uniqueness of Lipschitz solutions with discontinuous initial data is obtained in the broad class of entropy solutions in L∞.
Relativistic Euler equations, Entropy solutions, Vacuum, Uniqueness, Global stability
-
31浏览
-
0点赞
-
0收藏
-
0分享
-
67下载
-
0
-
引用