CHYME 发表于 2025-3-23 13:17:55

http://reply.papertrans.cn/89/8850/884973/884973_11.png

营养 发表于 2025-3-23 17:19:52

http://reply.papertrans.cn/89/8850/884973/884973_12.png

高原 发表于 2025-3-23 21:08:28

http://reply.papertrans.cn/89/8850/884973/884973_13.png

者变 发表于 2025-3-23 23:58:17

The Convective Systems of the Euler Systemsthe field until very recently. In this chapter we introduce several conservation laws that yield unbounded solutions. These conservation laws are variants of the convective system for the full 2-D Euler system, and the unbounded solutions are also very natural.

LVAD360 发表于 2025-3-24 06:21:37

One-dimensional Scalar EquationsWe introduce in this chapter the basic concepts of conservation laws, which include discontinuous solutions, the jump (Rankine-Hugoniot) relation, entropy conditions, shock and rarefaction waves, and a simple numerical scheme called the Lax-Friedrichs scheme.

MUMP 发表于 2025-3-24 09:04:07

Riemann ProblemsIn this chapter we solve one-dimensional Riemann problems for the following systems: isentropic and adiabatic Euler systems for polytropic gases, Lax’s strictly hyperbolic and genuinely nonlinear systems, nonconvex scalar conservation laws.

homocysteine 发表于 2025-3-24 11:11:59

http://reply.papertrans.cn/89/8850/884973/884973_17.png

帐单 发表于 2025-3-24 16:42:12

Plausible Structures for 2-D Euler SystemsWe take up the important four-wave Riemann problem, a subset of the four-constant Riemann problem, for the Euler systems and present our conjecture on the structures of their solutions, based on characteristic analysis, patterns of oblique shock reflection, and numerical experiments.

护身符 发表于 2025-3-24 21:59:01

The Pressure-Gradient Equations of the Euler SystemsWe establish the existence of a smooth solution in its elliptic region in the self-similar plane to the pressure-gradient system arisen from the wave particle splitting of the two-dimensional compressible Euler system of equations.

要控制 发表于 2025-3-24 23:16:59

http://reply.papertrans.cn/89/8850/884973/884973_20.png
页: 1 [2] 3 4 5 6
查看完整版本: Titlebook: Systems of Conservation Laws; Two-Dimensional Riem Yuxi Zheng Book 2001 Birkhäuser Boston 2001 compactness.differential equation.fluid mech