1.

Record Nr.

UNINA9910480588703321

Autore

Sheng Wancheng <1963->

Titolo

The Riemann problem for the transportation equations in gas dynamics / / Wancheng Sheng, Tong Zhang

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1999

ISBN

1-4704-0243-2

Descrizione fisica

1 online resource (93 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 654

Disciplina

510 s

515/.353

Soggetti

Gas dynamics

Conservation laws (Mathematics)

Riemann-Hilbert problems

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"January 1999, volume 137, number 654 (third of 6 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 76-77).

Nota di contenuto

""Contents""; ""Chapter I. Introduction""; ""Chapter II. 1-D Riemann Problem for Transportation Equations in Gas Dynamics""; ""Â2.1 Preliminaries and Solutions Obtained with Characteristic Method""; ""Â2.2 The Existence of Solutions of Viscous System (2.2.1-3)""; ""Â2.3 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""; ""Â3.1 Preliminaries""; ""Â3.2 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(+)]""; ""Â3.3 The Case 2J[sup(-)] + 2J[sup(+)]""; ""Â3.4 The Case 4J[sup(-)]""; ""References""