Boundary effect on asymptotic behaviour of solutions to the \(p\)-system with linear damping
From MaRDI portal
Publication:1303852
DOI10.1006/jdeq.1998.3598zbMath0933.35121OpenAlexW2064155568MaRDI QIDQ1303852
Publication date: 19 March 2000
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1998.3598
Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)
Related Items
Asymptotic Stability of Diffusion Waves of a Quasi-Linear Hyperbolic-Parabolic Model for Vasculogenesis, Optimal convergence rates to diffusion waves for solutions of \(p\)-system with damping on quadrant, Frequency-localization Duhamel principle and its application to the optimal decay of dissipative systems in low dimensions, Initial-boundary value problem for p-system with damping in half space, Asymptotic behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping, Convergence to strong nonlinear diffusion waves for solutions to \(p\)-system with damping on quadrant, The 3D compressible Euler equations with damping in a bounded domain, Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant, \(L^{p}\)-decay rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping, Half space problem for Euler equations with damping in 3-D, Large time behavior for the system of compressible adiabatic flow through porous media in \(\mathbb{R}^3\), Large time behavior and pointwise estimates for compressible Euler equations with damping, Long-time behavior of solutions to the \(M_1\) model with boundary effect, Stability of aerostatic equilibria in porous medium flows, Half space problem of the system of compressible adiabatic flow through porous media in multi-D, The \(L^{p}\)--\(L^{q}\) estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media, Large time behavior of a hyperbolic-parabolic model of vasculogenesis, Singularity formation for the inhomogeneous nonlinear wave equation with damping, The optimal large time behavior of 3D quasilinear hyperbolic equations with nonlinear damping, Convergence to diffusion waves for solutions of 1D Keller–Segel model, Stability of planar diffusion wave for nonlinear evolution equation, Asymptotic behavior of the 3D compressible Euler equations with nonlinear damping and slip boundary condition, Initial boundary value problem for the system of compressible adiabatic flow through porous media, Convergence to diffusion waves for solutions of Euler equations with time-depending damping on quadrant, \(L^{1}\)-convergence rates to the Barenblatt solution for the damped compressible Euler equations, \(L_p\)-convergence rate to nonlinear diffusion waves for \(p\)-system with damping, Convergence to diffusion waves of the solutions for benjamin-bona-mahony-burgers equations, Asymptotic profile of a parabolic-hyperbolic system with boundary effect arising from tumor angiogenesis, Convergence to nonlinear diffusion waves for solutions of Euler-Korteweg equations with damping, Initial-boundary value problem of a parabolic-hyperbolic system arising from tumor angiogenesis, Convergence to nonlinear diffusion waves for solutions of \(p\)-system with time-dependent damping, Well-posedness of the IBVP for 2-D Euler equations with damping, Global existence and long-time behavior of solutions to the full compressible Euler equations with damping and heat conduction in \(\mathbb{R}^3\), Convergence rates to nonlinear diffusion waves for weak entropy solutions to \(p\)-system with damping, A note on boundary layer of a nonlinear evolution system with damping and diffusions, Convergence to strong nonlinear diffusion waves for solutions of \(p\)-system with damping, Convergence to the Barenblatt solution for the compressible Euler equations with damping and vacuum, Best asymptotic profile for linear damped \(p\)-system with boundary effect, On the isothermal compressible Euler equations with frictional damping, \(L ^1\) convergence to the Barenblatt solution for compressible Euler equations with damping, Initial-boundary value problem of Euler equations with damping in \(\mathbb{R}_+^n\), Asymptotic Behavior of Solutions to Euler Equations with Time-Dependent Damping in Critical Case, Boundary effect on asymptotic behavior of solutions to the \(p\)-system with time-dependent damping, Optimal \(L^p\)-\(L^q\)-type decay rates of solutions to the three-dimensional nonisentropic compressible Euler equations with relaxation, Convergence to strong nonlinear diffusion waves for solutions to \(p\)-system with damping, Nonlinear diffusion waves for hyperbolic \(p\)-system with nonlinear damping, Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis, Stability of rarefaction wave for viscous vasculogenesis model, Nonlinear stability of phase transition steady states to a hyperbolic–parabolic system modeling vascular networks, Asymptotic behaviors of solutions of quasilinear hyperbolic equations with linear damping. II, Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum, Existence and asymptotic behavior of global smooth solution for p‐system with nonlinear damping and fixed boundary effect, Stability of planar diffusion wave for the quasilinear wave equation with nonlinear damping
Cites Work
- Unnamed Item
- Asymptotic behavior for scalar viscous conservation laws with boundary effect
- Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
- Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation
- Nonlinear diffusive phenomena of nonlinear hyperbolic systems
- Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping
- Propagation of a stationary shock layer in the presence of a boundary
- Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
- Nonlinear diffusive phenomena of solutions for the system of compressible adiabatic flow through porous media
- Asymptotic stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas with boundary
- A class of similarity solutions of the nonlinear diffusion equation
- Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
- Convergence to nonlinear diffusion waves for solutions of the initial boundary problem to the hyperbolic conservation laws with damping
- Global asymptotics toward the rarefaction wave for solutions of viscous 𝑝-system with boundary effect
- Global Existence of Solutions for the System of Compressible Adiabatic Flow through Porous Media