Existence and asymptotic behavior of global smooth solution for \(p\)-system with damping and boundary effect
From MaRDI portal
Publication:844989
DOI10.1016/j.na.2009.10.046zbMath1190.35142OpenAlexW2041816089MaRDI QIDQ844989
Publication date: 5 February 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.10.046
Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Blow-up in context of PDEs (35B44)
Related Items (8)
Large time behavior for the system of compressible adiabatic flow through porous media in \(\mathbb{R}^3\) ⋮ Time decay of solutions for compressible isentropic non-Newtonian fluids ⋮ Space-time decay rate of high-order spatial derivative of solution for 3D compressible Euler equations with damping ⋮ Space-time decay rate of the compressible adiabatic flow through porous media in \({\mathbb{R}}^3\) ⋮ The 3D non-isentropic compressible Euler equations with damping in a bounded domain ⋮ Decay of the 3D quasilinear hyperbolic equations with nonlinear damping ⋮ Initial boundary value problem for the 3D quasilinear hyperbolic equations with nonlinear damping ⋮ Existence and asymptotic behavior of global smooth solution for p‐system with nonlinear damping and fixed boundary effect
Cites Work
- Unnamed Item
- Unnamed Item
- \(L^{p}\)-decay rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping
- Convergence rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping on quadrant
- Existence of global smooth solution to the initial boundary value problem for \(p\)-system with damping
- Global smooth solution of Cauchy problems for a class of quasilinear hyperbolic systems
- Development of singularities in the motion of materials with fading memory
- Formation of singularities in three-dimensional compressible fluids
- Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
- Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
- Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation
- Nonlinear diffusive phenomena of nonlinear hyperbolic systems
- Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping
- Convergence rate for compressible Euler equations with damping and vacuum
- Existence of global smooth solutions for Euler equations with symmetry. II
- Asymptotic behavior of solutions for \(p\)-system with relaxation
- 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
- Initial boundary value problem for the system of compressible adiabatic flow through porous media
- Convergence to strong nonlinear diffusion waves for solutions to \(p\)-system with damping on quadrant
- Darcy's law as long-time limit of adiabatic porous media flow
- Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum
- On the Diffusive Profiles for the System of Compressible Adiabatic Flow through Porous Media
- Formation of singularities in one-dimensional nonlinear wave propagation
- Periodic vibrations of systems governed by nonlinear partial differential equations
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
- Some existence theorems for hyperbolic systems of partial differential equations in two independent variables
- Convergence to strong nonlinear diffusion waves for solutions of \(p\)-system with damping
This page was built for publication: Existence and asymptotic behavior of global smooth solution for \(p\)-system with damping and boundary effect
