Asymptotic behaviors of solutions of quasilinear hyperbolic equations with linear damping. II
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Publication:1590092
DOI10.1006/jdeq.2000.3793zbMath0962.35124OpenAlexW1983316458MaRDI QIDQ1590092
Publication date: 5 June 2001
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.2000.3793
Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)
Related Items (14)
Convergence rates to asymptotic profile for solutions of quasilinear hyperbolic equations with nonlinear damping ⋮ Convergence to strong nonlinear diffusion waves for solutions to \(p\)-system with damping on quadrant ⋮ \(L^{p}\)-decay rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping ⋮ Long-time behavior of solutions to the \(M_1\) model with boundary effect ⋮ CONVERGENCE RATES TO ASYMPTOTIC PROFILE FOR SOLUTIONS OF QUASILINEAR HYPERBOLIC EQUATIONS WITH LINEAR DAMPING ⋮ Asymptotic stability of diffusion wave for a semilinear wave equation with damping ⋮ Convergence to nonlinear diffusion waves for solutions of \(p\)-system with time-dependent damping ⋮ \(L^p\) convergence rates of solutions for \(n\)-dimensional quasilinear damped wave equation ⋮ Best asymptotic profile for linear damped \(p\)-system with boundary effect ⋮ Boundary effect on asymptotic behavior of solutions to the \(p\)-system with time-dependent damping ⋮ Nonlinear diffusion waves for hyperbolic \(p\)-system with nonlinear damping ⋮ Optimal decay rates of solutions to hyperbolic conservation laws with damping ⋮ Existence and asymptotic behavior of global smooth solution for p‐system with nonlinear damping and fixed boundary effect ⋮ Convergence to nonlinear diffusion waves for solutions of \(M_1\) model
Cites Work
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- Existence and non-existence of global smooth solutions for quasilinear hyperbolic systems
- Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
- Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
- Boundary effect on asymptotic behaviour of solutions to the \(p\)-system with linear damping
- Nonlinear diffusive phenomena of nonlinear hyperbolic systems
- Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping
- Nonlinear stability of strong planar rarefaction waves for the relaxation approximation of conservation laws in several space dimensions
- Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
- A system of hyperbolic conservation laws with frictional damping
- Construction and qualitative behavior of the solution of the perturbated Riemann problem for the system of one-dimensional isentropic flow with damping
- Nonlinear diffusive phenomena of solutions for the system of compressible adiabatic flow through porous media
- Compressible flow with damping and vacuum
- Initial boundary value problem for the system of compressible adiabatic flow through porous media
- Existence and non-existence of global smooth solutions for \(p\)-system with relaxation
- \(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping
- On the Diffusive Profiles for the System of Compressible Adiabatic Flow through Porous Media
- Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws
- A class of similarity solutions of the nonlinear diffusion equation
- Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms
- Pointwise convergence to shock waves for viscous conservation laws
- Convergence to nonlinear diffusion waves for solutions of the initial boundary problem to the hyperbolic conservation laws with damping
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