TY - BOOK AU - Zhang,Tong AU - Sheng,Wancheng AU - Shengwang,Wang TI - Riemann Problem for the Transportation Equations in Gas Dynamics T2 - Memoirs of the American Mathematical Society SN - 9781470402433 AV - QC168 -- .S54 1999eb U1 - 510 s;515/.353 PY - 1999/// CY - Providence PB - American Mathematical Society KW - Gas dynamics KW - Conservation laws (Mathematics) KW - Riemann-Hilbert problems KW - Electronic books N1 - Intro -- Contents -- Chapter I. Introduction -- Chapter II. 1-D Riemann Problem for Transportation Equations in Gas Dynamics -- 2.1 Preliminaries and Solutions Obtained with Characteristic Method -- 2.2 The Existence of Solutions of Viscous System (2.2.1-3) -- 2.3 The Limit of Solutions of System (2.21-3) as Viscosity Vanishes -- 2.3.1 The Case u[sub(-)] > -- u[sub(+)] -- 2.3.2 The Case u[sub(-)] < -- u[sub(+)] -- Chapter III. 2-D Riemann Problem for Transportation Equations in Gas Dynamics -- 3.1 Preliminaries -- 3.2 2-D Pseudo-steady Riemann Problem -- 3.2.1 Preliminaries and Solutions Obtained with Characteristic Method -- 3.2.2 The Existence of Solutions of Viscous System (3.2.16) -- 3.2.3 The Limit of Solutions of Viscous System (3.2.16) as Viscosity Vanishes -- I. The Case U[sub(-)]/V[sub(-)] > -- U[sub(+)]/V[sub(+)] -- II. The Case U[sub(-)]/V[sub(-)] < -- U[sub(+)]/V[sub(+)] -- 3.3 The Case 2J[sup(-)] + 2J[sup(+)] -- 3.4 The Case 4J[sup(-)] -- References UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114397 ER -