Solutions in the large for nonlinear hyperbolic systems of equations

James Glimm

Type: Article

Publication Date: 1965-11-01

Citations: 1599

DOI: https://doi.org/10.1002/cpa.3160180408

View Publication

Locations

Communications on Pure and Applied Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Solutions in the large for some nonlinear hyperbolic conservation laws	1973	Takaaki Nishida Joel Smoller
+	Nonlinear hyperbolic equations	1953	Peter D. Lax
+	Viscosity matrices for two‐dimensional nonlinear hyperbolic systems	1970	Charles C. Conley Joel Smoller
+	Global solutions of nonlinear hyperbolic equations for small initial data	1986	Demetrios Christodoulou
+	Global solutions to a class of nonlinear hyperbolic systems of equations	1973	Ronald J. DiPerna
+	Solutions in the large for nonhomogeneous quasilinear hyperbolic systems of equations	1980	Lung‐an Ying Ching-Hua Wang
+ PDF Chat	Breather solutions of the nonlinear wave equation	1991	Satyanad Kichenassamy
+	Linear and nonlinear large‐time behavior of solutions of general systems of hyperbolic conservation laws	1977	Tai‐Ping Liu
+	Nonlinear Hyperbolic Equations and Field Theory	1992	M. Krishna Murthy Sonia Lupica Spagnolo
+	Long time effects of nonlinearity in second order hyperbolic equations	1986	Fritz John
+	None	2000	László Simon
+	Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications	1989	Josef Ballmann Rolf Jeltsch
+ PDF Chat	Solutions in the large for certain nonlinear parabolic systems	1985	David Hoff Joel Smoller
+	Method of Rothe for a Hyperbolic Equation with a Nonlinear Boundary Condition	1993	Frank Weber
+ PDF Chat	SOLUTION OF NONLINEAR SYSTEMS	1960	L. R. Turner
+	Hyperbolic equations	2020
+	Hyperbolic equations	2008	Arieh Iserles
+	Hyperbolic Equations	1985	Gary A. Sod
+	Huntley, I. D./Johnson, R. M., Linear and Nonlinear Differential Equations. Chichester, Ellis Horwood Ltd., 1983. 190 S., £ 18.50, ISBN 0‐85312‐441‐8	1984	H. Friedrich
+	Hyperbolic Problems	1998	Victor Isakov

Works That Cite This (1378)

Action	Title	Year	Authors
+	A new Lagrangian random choice method for steady two-dimensional supersonic/hypersonic flow	1991	Ching Y. Loh W. H. Hui
+ PDF Chat	BV solutions to a hyperbolic system of balance laws with logistic growth	2024	Geng Chen Yanni Zeng
+ PDF Chat	The Wave Equation: Control and Numerics	2012	Sylvain Ervedoza Enrique Zuazua
+ PDF Chat	Shock Development in Spherical Symmetry	2016	Demetrios Christodoulou André Lisibach
+	Theory, Numerics and Applications of Hyperbolic Problems II	2018	Christian Klingenberg Michael Westdickenberg
+ PDF Chat	On finite time BV blow-up for the p-system	2018	Alberto Bressan Geng Chen Qingtian Zhang
+	Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws	2017	Fré́dé́ric Coquel Shi Jin Jian‐Guo Liu Li Wang
+ PDF Chat	Hypersonic similarity for the two dimensional steady potential flow with large data	2020	Jie Kuang Wei Xiang Yongqian Zhang
+ PDF Chat	$ BV $ solution for a non-linear Hamilton-Jacobi system	2020	Ahmad El Hajj Hassan Ibrahim Vivian Rizik
+	Examples and conjectures on the regularity of solutions to balance laws	2023	Fabio Ancona Stefano Bianchini Alberto Bressan Rinaldo M. Colombo Khai T. Nguyen

Works Cited by This (3)

Action	Title	Year	Authors
+	Hyperbolic systems of conservation laws II	1957	Peter D. Lax
+	Nonlinear Hyperbolic Differential Equations for Functions of Two Independent Variables	1948	K. O. Friedrichs
+	Discontinuous solutions of nonlinear differential equations	1957	O. A. Oleĭnik