Convergence of the lax-friedrichs' scheme for equations of isentropic gas dynamics in lagrangian coordinates*'

Longwei Lin; Tong Yang

doi:10.1080/03605309108820805

Author(s)

Longwei Lin
Tong Yang

Detail(s)

Original language	English
Pages (from-to)	1441-1460
Journal / Publication	Communications in Partial Differential Equations
Volume	16
Issue number	8-9
Publication status	Published - 1 Jan 1991
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1080/03605309108820805 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0012802695&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(b3e78039-aa5d-4cf3-a5bc-ca53e5c3a847).html

Abstract

By compensated compactness theory, Diperna^[1,2], Ding, Chen, Luo^[3] have solved the equations of elasticity and the equations of isentropic gas dynamics in Euler coordinates with a polytropic equation of state. Their framework essentially depends on the boundedness of the invariant regions of the systems. We now consider the equations of isentropic gas dynamics in Lagrangian coordinates, whose invariant regions are unbounded. Diperna showed that^[1]. in order to solve the system, the major step is to find a uniform bound of the difference approximations of the Lax-Friedrichs scheme or a uniform bound of the solutions to the systems with viscous terms. However, it is still an open problem how to find the uniform bounds. © 1991, Taylor & Francis Group. All rights reserved.

Citation Format(s)

[ RIS ] [ BibTeX ]

Convergence of the lax-friedrichs' scheme for equations of isentropic gas dynamics in lagrangian coordinates*'. / Lin, Longwei; Yang, Tong.
In: Communications in Partial Differential Equations, Vol. 16, No. 8-9, 01.01.1991, p. 1441-1460.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Lin, L & Yang, T 1991, 'Convergence of the lax-friedrichs' scheme for equations of isentropic gas dynamics in lagrangian coordinates*'', Communications in Partial Differential Equations, vol. 16, no. 8-9, pp. 1441-1460. https://doi.org/10.1080/03605309108820805

Lin, L., & Yang, T. (1991). Convergence of the lax-friedrichs' scheme for equations of isentropic gas dynamics in lagrangian coordinates*'. Communications in Partial Differential Equations, 16(8-9), 1441-1460. https://doi.org/10.1080/03605309108820805

Lin L, Yang T. Convergence of the lax-friedrichs' scheme for equations of isentropic gas dynamics in lagrangian coordinates*'. Communications in Partial Differential Equations. 1991 Jan 1;16(8-9):1441-1460. doi: 10.1080/03605309108820805

Lin, Longwei ; Yang, Tong. / Convergence of the lax-friedrichs' scheme for equations of isentropic gas dynamics in lagrangian coordinates*'. In: Communications in Partial Differential Equations. 1991 ; Vol. 16, No. 8-9. pp. 1441-1460.