Global existence for systems of parabolic conservation laws in several space variables

David Hoff, Joel Smoller

Type: Article

Publication Date: 1987-06-01

Citations: 35

DOI: https://doi.org/10.1016/0022-0396(87)90192-6

View Publication

Locations

Journal of Differential Equations - View
CiteSeer X (The Pennsylvania State University) - View - PDF
Deep Blue (University of Michigan) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Global existence for a class of viscous systems of conservation laws	2019	Luca Alasio Stefano Marchesani
+ PDF Chat	Global existence to the Cauchy problem for hyperbolic conservation laws with an isolated umbilic point	2013	Elisabetta Felaco Bruno Rubino Rosella Sampalmieri
+	Study of the global solutions for nonlinear conservation laws	1982	Ching-Hua Wang Li Caizhong
+ PDF Chat	Solutions for a nonstrictly hyperbolic and genuinely nonlinear system	2023	Xianting Wang Yun‐guang Lu Qing‐You Sun Changfeng Xue
+	A non-local theory of generalized entropy solutions of the Cauchy problem for a class of hyperbolic systems of conservation laws	1999	E. Yu. Panov
+	On the Global Existence for a Class of Compressible Non-Newtonian Fluids with Inhomogeneous Boundary Data	2024	Joriah Muhammad
+ PDF Chat	Energy dissipation admissibility condition for conservation law systems admitting singular solutions	2022	Marko Nedeljkov Sanja Ružičić
+	Global smooth solution of multi-dimensional non-homogeneous conservation laws＂	2004	YANGXiaozhou ZhangTong
+ PDF Chat	Global stability of weak solutions for a multilayer Saint–Venant model with interactions between layers	2017	Bernard Di Martino Boris Haspot Yohan Penel
+	CNA Working Group, Fall 2008 Systems of Conservation Laws and Viscosity Solutions	2008	Marta Lewicka
+ PDF Chat	Global existence of entropy-weak solutions to the compressible Navier–Stokes equations with non-linear density dependent viscosities	2021	Didier Bresch Alexis Vasseur Cheng Yu
+	GLOBAL SMOOTH SOLUTIONS FOR SYSTEMS OF GAS DYNAMICS WITH THE DISSIPATION	1987	Yongshu Zheng
+	Cauchy problem for a higher order generalized Boussinesq-type equation with hydrodynamical damped term	2015	Huafei Di Yadong Shang
+	Convergence of Approximate Solutions of the Cauchy Problem for a 2×2 Nonstrictly Hyperbolic System of Conservation Laws	1993	Bruno Rubino
+	Hyperbolic systems of conservation laws in one space dimension	2002	Alberto Bressan
+	Two-velocity hydrodynamics in fluid mechanics: global existence for 2D case	2021	Wenke Tan
+	Global Existence of Entropy-Weak Solutions to the Compressible Navier-Stokes Equations with Non-Linear Density Dependent Viscosities	2019	Didier Bresch Alexis Vasseur Cheng Yu
+	Well-posedness for general 2x2 systems of conservation laws	2004	Fabio Ancona Andrea Marson
+ PDF Chat	Global solution of mixed problem for a certain system of nonlinear conservation laws	1977	Alexander Doktor
+	Existence of a global smooth solution for a degenerate problem of the hyperbolic conservation law systems	2024	Hui Shen Wei Xiao

Works That Cite This (34)

Action	Title	Year	Authors
+ PDF Chat	Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations	2013	Mathew A. Johnson Pascal Noble L. Miguel Rodrigues Kevin Zumbrun
+	Decay of Almost Periodic Solutions¶of Conservation Laws	2002	Hermano Frid
+	Pointwise Green function bounds and stability of combustion waves	2006	Gregory D. Lyng Mohammadreza Raoofi Benjamin Texier Kevin Zumbrun
+	Large-Time Behavior of Entropy Solutions of Conservation Laws	1999	Gui‐Qiang Chen Hermano Frid
+	Knowledge representations for the automatic generation of numerical simulators for PDEs	1989	David Balaban J. Garbarini W. Greiman Mark Durst
+	Global Existence and Optimal Temporal Decay Estimates for Systems of Parabolic Conservation Laws. II. The Multidimensional Case	1998	Alan Jeffrey Huijiang Zhao
+ PDF Chat	Galloping instability of viscous shock waves	2008	Benjamin Texier Kevin Zumbrun
+	Nonlinear Stability and Optimal Decay Rate for a Multidimensional Generalized Kuramoto–Sivashinsky System	2000	Huijiang Zhao Shaoqiang Tang
+ PDF Chat	Global well-posedness of solutions to the Cauchy problem of convective Cahn–Hilliard equation	2018	Xiaopeng Zhao
+	A note on the optimal temporal decay estimates of solutions to the Cahn–Hilliard equation	2010	Lian Duan Shuangqian Liu Huijiang Zhao

Works Cited by This (8)

Action	Title	Year	Authors
+	Supersonic Flow and Shock Waves	1976	Richard Courant Kurt Friedrichs
+	On the symmetric form of systems of conservation laws with entropy	1983	Amiram Harten
+ PDF Chat	Supersonic Flow and Shock Waves	1949	M. J. Lighthill
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡
+ PDF Chat	Solutions in the large for certain nonlinear parabolic systems	1985	David Hoff Joel Smoller
+	Partial Differential Equations	1982	Fritz John
+	Partial differential equations	2021	Brent J. Lewis E. Nihan Onder Andrew A. Prudil