Long-time behavior of solutions to a nonlinear hyperbolic relaxation system

Rafael Orive, Enrique Zuazua

Type: Article

Publication Date: 2006-06-01

Citations: 22

DOI: https://doi.org/10.1016/j.jde.2006.04.014

View Publication

Locations

Journal of Differential Equations - View

Similar Works

Action	Title	Year	Authors
+	LARGE TIME BEHAVIOR OF SOLUTIONS TO A SEMILINEAR HYPERBOLIC SYSTEM WITH RELAXATION	2007	Yoshihiro Ueda Shuichi Kawashima
+ PDF Chat	Large time behavior of solutions to a nonlinear hyperbolic relaxation system with slowly decaying data	2020	Ikki Fukuda
+	Large Time Behavior of Solutions to the Nonlinear Hyperbolic Relaxation System with Slowly Decaying Data (Mathematical Analysis in Fluid and Gas Dynamics)	2020	Ikki Fukuda
+	On the large-time behavior of solutions to systems of hyperbolic equations with relaxation	2007	V. V. Palin Е. В. Радкевич
+	WEAKLY NONLINEAR LONG-TIME BEHAVIOR OF SOLUTIONS TO A HYPERBOLIC RELAXATION SYSTEMS	2005	Rafael Orive
+	On the Diffusion Limit of a Hyperbolic Relaxation System	1999	Hailiang Liu
+ PDF Chat	Diffusion limit of a hyperbolic system with relaxation	1998	Shi Jin Hailiang Liu
+	Nonlinear Stability with Decay Rate for Traveling Wave Solutions of a Hyperbolic System with Relaxation	1996	Paulo R. Zingano
+	Large time behavior of solutions to a semilinear hyperbolic system with relaxation(Mathematical Analysis in Fluid and Gas Dynamics)	2007	Yoshihiro Ueda Shuichi Kawashima
+	Long‐time diffusive behavior of solutions to a hyperbolic relaxation system	2001	Hailiang Liu Roberto Natalini
+	Blow-up of a hyperbolic equation of viscoelasticity with supercritical nonlinearities	2016	Yanqiu Guo Mohammad A. Rammaha Sawanya Sakuntasathien
+ PDF Chat	Long time behavior for the visco-elastic damped wave equation in <inline-formula><tex-math id="M1">\begin{document}$\mathbb{R}^n_+$\end{document}</tex-math></inline-formula> and the boundary effect	2018	Linglong Du
+	Zero relaxation limit in slow time scaling for first-order\\ quasi-linear hyperbolic systems	2017	Yue‐Jun Peng
+ PDF Chat	ON THE DISPERSIVE WAVE DYNAMICS OF 2 × 2 RELAXATION SYSTEMS	2012	Peder Aursand Tore Flåtten
+	The Lp Stability of Relaxation Rarefaction Profiles	2001	Hailiang Liu
+	The Asymptotic Behavior of the Hyperbolic Conservation Laws with Relaxation on the Quarter-Plane	1997	Shinya Nishibata Shih‐Hsien Yu
+ PDF Chat	<i>L</i><sup><i>P</i></sup> decay for general hyperbolic-parabolic systems of balance laws	2017	Yanni Zeng
+ PDF Chat	Long-time effect of relaxation for hyperbolic conservation laws	1995	I‐Liang Chern
+	Asymptotic Behavior of a Solution of Relaxation System for Flow in Porous Media	2018	Eduardo Abreu Abel Bustos Wanderson Lambert
+	Hyperbolic Conservation Laws with Relaxation Terms : A Theoretical and Numerical Study	2011	Peder Aursand

Works That Cite This (18)

Action	Title	Year	Authors
+ PDF Chat	Large time behavior of solutions to a nonlinear hyperbolic relaxation system with slowly decaying data	2020	Ikki Fukuda
+ PDF Chat	Global existence and decay of small solutions for quasi-linear second-order uniformly dissipative hyperbolic-hyperbolic systems	2023	Matthias Sroczinski
+	Diffusive relaxation limit of the multi-dimensional Jin-Xin system	2023	Timothée Crin-Barat Ling-Yun Shou
+	Asymptotic profile of solutions for the damped wave equation with a nonlinear convection term	2017	Masakazu Kato Yoshihiro Ueda
+ PDF Chat	Optimal control of hyperbolic type discrete and differential inclusions described by the Laplace operator	2022	Elimhan N. Mahmudov
+	Convergence rates of solutions toward boundary layer solutions for generalized Benjamin–Bona–Mahony–Burgers equations in the half-space	2008	Hui Yin Huijiang Zhao Jongsung Kim
+	On solutions of a nonlinear wave equation derived from brain activity modeling	2010	Mouhamad Jradeh Maı̈tine Bergounioux
+	LARGE TIME BEHAVIOR OF SOLUTIONS TO A SEMILINEAR HYPERBOLIC SYSTEM WITH RELAXATION	2007	Yoshihiro Ueda Shuichi Kawashima
+ PDF Chat	Uniform Asymptotic and Convergence Estimates for the Jin--Xin Model Under the Diffusion Scaling	2018	Roberta Bianchini
+ PDF Chat	Large Time Asymptotics for Partially Dissipative Hyperbolic Systems	2010	Karine Beauchard Enrique Zuazua

Works Cited by This (17)

Action	Title	Year	Authors
+	Long‐time diffusive behavior of solutions to a hyperbolic relaxation system	2001	Hailiang Liu Roberto Natalini
+	On a relaxation approximation of the incompressible Navier-Stokes equations	2003	Yann Brenier Roberto Natalini Marjolaine Puel
+ PDF Chat	Weakly nonlinear large time behavior in scalar convection-diffusion equations	1993	Enrique Zuazua
+	The Lp–Lq estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media	2003	Pierangelo Marcati Kenji Nishihara
+	Global Existence of Smooth Solutions for Partially Dissipative Hyperbolic Systems with a Convex Entropy	2003	Bernard Hanouzet Roberto Natalini
+	Dissipative Structure and Entropy for Hyperbolic Systems of Balance Laws	2004	Shuichi Kawashima Wen‐An Yong
+	Large time behavior for convection-diffusion equations in RN	1991	Miguel Escobedo Enrique Zuazua
+ PDF Chat	Long-time effect of relaxation for hyperbolic conservation laws	1995	I‐Liang Chern
+	Existence and nonexistence of time-global solutions to damped wave equation on half-line	2005	Kenji Nishihara Huijiang Zhao
+ PDF Chat	On the Asymptotic Behavior of Solutions of Semi-linear Wave Equations	1976	Akitaka Matsumura