Global solution of the cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws

Blake Temple

Type: Article

Publication Date: 1982-09-01

Citations: 223

DOI: https://doi.org/10.1016/s0196-8858(82)80010-9

View Publication

Locations

Advances in Applied Mathematics - View

Similar Works

Action	Title	Year	Authors
+	The Cauchy problem for a class of 2 x 2 nonstrictly hyperbolic system of conservation laws	1994	Bruno Rubino
+	Uniqueness of weak solutions of the Cauchy problem for general 2 × 2 conservation laws	1976	Tai-Ping Liu
+	Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws	2011	Chun Shen Meina Sun Zhen Wang
+	Riemann Problems for Nonstrictly Hyperbolic 2 × 2 Systems of Conservation Laws	1987	David G. Schaeffer Michael Shearer
+	Riemann problem for a class of 2 × 2 hyperbolic conservation laws	1996	Changjiang Zhu
+	Global solutions for a hyperbolic conservation system of three equations	2024	Yun‐guang Lu
+	Study of the global solutions for nonlinear conservation laws	1982	Ching-Hua Wang Li Caizhong
+	Envelope and classification of global structures of solutions for a class of two-dimensional conservation laws	2016	Guangwen Cao Kai Hu Xiaozhou Yang
+	Envelope and Classification of Global Structures of Solutions for a Class of Two-dimensional Conservation Laws	2016	Gao-wei Cao Kai Kai H. Hu Xiaozhou Yang
+	Well-posedness for general 2x2 systems of conservation laws	2004	Fabio Ancona Andrea Marson
+	The Riemann problem for 2 x 2 hyperbolic systems of conservation laws	2010	Hiroki Owa
+	The Cauchy problem for a class of 2×2 nonstrictly hyperbolic systems	1992	Marcelo M. Santos Hermano Frid
+	Weak Stability in the Global L 1 -Norm for Systems of Hyperbolic Conservation Laws	1990	Blake Temple
+	A class of nonlinear hyperbolic problems with global solutions	1993	Piero DʼAncona Sergio Spagnolo
+	Global structure stability of Riemann solutions for general hyperbolic systems of conservation laws in the presence of a boundary	2007	Zhiqiang Shao
+ PDF Chat	Global Solutions of a General Hyperbolic Navier-Stokes Equations	2025	Ruihong Ji Jingna Li Ling Tian Jiahong Wu
+	The Riemann problem for 2×2 hyperbolic systems of conservation laws	2010	宏樹應和
+	Existence and asymptotic behavior of solutions to 2 ∗ 2 hyperbolic quadratic conservation laws with small viscosity	1991	Yun‐guang Lu Huijiang Zhao
+	GLOBAL SMOOTH SOLUTIONS TO CAUCHY PROBLEMS FOR MULTIDIMENSIONAL QUASILINEAR HYPERBOLIC SYSTEMS	1992	Dechun Tan Tong Keun Chang
+	THE GLOBAL SMOOTH SOLUTION FOR HIGH-DIMENSIONAL HYPERBOLIC SYSTEMS	1994	Zhiming Hu Tong Zhang

Works That Cite This (193)

Action	Title	Year	Authors
+	Introduction	2020	Edwige Godlewski Pierre-Arnaud Raviart
+	Source Terms	2020	Edwige Godlewski Pierre-Arnaud Raviart
+	Nonlinear Hyperbolic Systems in One Space Dimension	2020	Edwige Godlewski Pierre-Arnaud Raviart
+ PDF Chat	Fractional regularity for conservation laws with discontinuous flux	2023	Shyam Sundar Ghoshal Stéphane Junca Akash Parmar
+ PDF Chat	CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME AND STABILITY FOR CONSERVATION LAWS WITH A DISCONTINUOUS SPACE-TIME DEPENDENT FLUX	2004	Kenneth H. Karlsen John D. Towers
+	The Solution of Nonstrictly Hyperbolic Conservation Laws May Be Hard to Compute	1995	Aslak Tveito Ragnar Winther
+ PDF Chat	Vanishing Viscosity and Backward Euler Approximations for Conservation Laws with Discontinuous Flux	2019	Graziano Guerra Wen Shen
+	Rotational degeneracy of hyperbolic systems of conservation laws	1991	Heinrich Freistühler
+ PDF Chat	A Numerical Method for a System of Equations Modelling one-Dimensional three-Phase Flow in a Porous Medium	1989	Tore Gimse
+	Hyperbolic conservation laws with umbilic degeneracy, I	1995	Gui‐Qiang Chen Pui Tak Kan

Works Cited by This (6)

Action	Title	Year	Authors
+	A system of non-strictly hyperbolic conservation laws arising in elasticity theory	1980	Barbara Lee Keyfitz Herbert C. Kranzer
+	Hyperbolic systems of conservation laws II	1957	Peter D. Lax
+	Solutions in the large for nonlinear hyperbolic systems of equations	1965	James Glimm
+ PDF Chat	Global solution for an initial boundary value problem of a quasilinear hyperbolic system	1968	Takaaki Nishida
+	Shock Waves and Entropy	1971	Peter D. Lax
+	Contributions to Nonlinear Functional Analysis	1971