Asymptotic Behavior of Solutions of Quasilinear Hyperbolic Equations with Linear Damping

Kenji Nishihara

Type: Article

Publication Date: 1997-07-01

Citations: 127

DOI: https://doi.org/10.1006/jdeq.1997.3268

View Publication

Locations

Journal of Differential Equations - View

Similar Works

Action	Title	Year	Authors
+	Asymptotic Behaviors of Solutions of Quasilinear Hyperbolic Equations with Linear Damping II	2000	Huijiang Zhao
+	CONVERGENCE RATES TO ASYMPTOTIC PROFILE FOR SOLUTIONS OF QUASILINEAR HYPERBOLIC EQUATIONS WITH LINEAR DAMPING	2011	Shifeng Geng
+	Boundary effects and large-time behaviour for quasilinear equations with nonlinear damping	2015	Shifeng Geng Lina Zhang
+	Convergence Rates to Asymptotic Profile for Solutions of Quasilinear Hyperbolic Equations with Nonlinear Damping	2016	Shi-feng Geng Zhen Zhen Wang
+	Asymptotics for some semilinear hyperbolic equations with non-autonomous damping	2011	Alexandre Cabot Pierre Frankel
+	Exponential decay of solutions of some quasilinear hyperbolic equations with linear damping	1984	Kenji Nishihara
+ PDF Chat	Asymptotic limit and decay estimates for a class of dissipative linear hyperbolic systems in several dimensions	2019	Thinh T. Nguyen
+	Asymptotic stability of some quasilinear parabolic equations in divergence form. L∞ results	1977	Min Tang
+ PDF Chat	Asymptotic behavior of solutions to quasilinear hyperbolic equations with nonlinear damping	2003	Hailiang Li Katarzyna Saxton
+	Asymptotic limit and decay estimates for a class of dissipative linear hyperbolic systems in several dimensions	2017	Thinh T. Nguyen
+	Asymptotic limit and decay estimates for a class of dissipative linear hyperbolic systems in several dimensions	2017	Thinh T. Nguyen
+	Stability of solutions of quasilinear parabolic equations	2003	Giuseppe Maria Coclite Helge Holden
+ PDF Chat	Decay of the 3D Quasilinear Hyperbolic Equations with Nonlinear Damping	2017	Hongjun Qiu Yinghui Zhang
+	Decay properties of solutions of some quasilinear hyperbolic equations with strong damping	1993	Kenji Nishihara
+	Understanding of quasilinear hyperbolic systems through the investigation of their asymptotic solutions	2024	Nie Dayong
+	Stability of solutions of quasilinear parabolic equations	2005	Giuseppe Maria Coclite Helge Holden
+ PDF Chat	Decay of solutions of a nonlinear hyperbolic system in noncylindrical domain	1993	Tânia Nunes Rabello
+	Asymptotic behavior of solutions to the damped quasilinear equation ∂2∂t2 u(x, t) + γ∂u∂t (x, t) − ∂∂xσ ∂u∂x (x, t)) = 0	1982	Frederick Bloom
+ PDF Chat	Decay estimation in nonlinear hyperbolic system of conservation laws	2010	Zaihong Jiang Ying Wang
+	Asymptotic stability of Solutions to Quasilinear Damped Wave Equations with Variable Sources	2024	Xiaoxin Yang Xiulan Wu Jiabao Zhuang

Works That Cite This (120)

Action	Title	Year	Authors
+	L-Convergence Rate to Nonlinear Diffusion Waves for p-System with Damping	2000	Kenji Nishihara Weike Wang Tong Yang
+	Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity	2017	Motohiro Sobajima Yuta Wakasugi
+ PDF Chat	Convergence rates to nonlinear diffusion waves for $p$-system with nonlinear damping on quadrant	2008	Mina Jiang Changjiang Zhu
+ PDF Chat	Selfsimilar profiles in large time asymptotics of solutions to damped wave equations	2000	Grzegorz Karch
+	Resonance effects for linear wave equations with scale invariant oscillating damping	2024	Marina Ghisi Massimo Gobbino
+	Diffusion phenomenon for indirectly damped hyperbolic systems coupled by velocities in exterior domains	2020	Lassaad Aloui Amal Arama
+	Asymptotic behavior of solutions to bipolar Euler–Poisson equations with time-dependent damping	2019	Haitong Li Jingyu Li Ming Mei Kai‐Jun Zhang
+	Convergence to nonlinear diffusion waves for solutions of p-system with time-dependent damping	2017	Haitong Li Jingyu Li Ming Mei Kaijun Zhang
+	Best asymptotic profile for linear damped p-system with boundary effect	2010	Hongfang Ma Ming Mei
+ PDF Chat	Diffusion phenomena for partially dissipative hyperbolic systems	2019	Jens Wirth

Works Cited by This (4)

Action	Title	Year	Authors
+ PDF Chat	Global Existence and Asymptotics of the Solutions of the Second-Order Quasilinear Hyperbolic Equations with the First-Order Dissipation	1977	Akitaka Matsumura
+	Convergence Rates to Nonlinear Diffusion Waves for Solutions of System of Hyperbolic Conservation Laws with Damping	1996	Kenji Nishihara
+	Time decay of solutions to degenerate Kirchhoff type equation	1998	Tetsu Mizumachi
+ PDF Chat	Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping	1992	Ling Hsiao Tai-Ping Liu