Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
C.M. Dafermos & L. Hsiao, Hyperbolic systems of balance laws with inhomogeneity and dissipation, Indian U. Maht. J. 31 (1982), 471–491.
J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure. Appl. Math. 18 (1965), 697–715.
T.P. Liu, Quasilinear hyperbolic systems, Comm. Math. Phys. 68 (1979) 140–172.
T.P. Liu, Systems of quasilinear hyperbolic partial differential equations, in "Trends of Applications of Pure Mathematics to Machanics" Vol. III, (R.J. Knops, Ed), Pitmann, London, 1981.
M. Luskin & B. Temple, The existence of a global weak solution to the nonlinear waterhammer problem, Comm. Pure. Appl. Math. 35 (1982), 697–735.
T. Nishida, Global solutions for an initial boundary value problem of a quasilinear hyperbolic system, Proc. Japan. Acad. 44 (1968), 642–646.
T. Nishida, Nonlinear hyperbolic equations and related topics in fluid dynamics, Publications Mathématiques d'Orsay, 78.02.
J.H. Wang, An inhomogeneous quasilinear hyperbolic system. Acta Mathematica Scientia, 1 (1981), 403–421.
L.A. Ying & J.A. Wang, Global solutions of the Cauchy problem for a nonhomogeneous quasilinear hyperbolic system. Comm. Pure. Appl. Math. 33 (1980), 579–597.
L.A. Ying & J.A. Wang, Solutions in the large for nonhomogeneous quasilinear hyperbolic systems of equations J. Math. Anal. Appl. 78 (1980), 440–454.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Jinghua, W. (1987). A nonhomogeneous system of equations of nonisentropic gas dynamics. In: Carasso, C., Serre, D., Raviart, PA. (eds) Nonlinear Hyperbolic Problems. Lecture Notes in Mathematics, vol 1270. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078331
Download citation
DOI: https://doi.org/10.1007/BFb0078331
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18200-9
Online ISBN: 978-3-540-47805-8
eBook Packages: Springer Book Archive