Optimal decay rates of solutions to hyperbolic conservation laws with damping
DOI10.1007/s00033-021-01657-wzbMath1484.85031OpenAlexW4200050877WikidataQ114852538 ScholiaQ114852538MaRDI QIDQ2070045
Publication date: 21 January 2022
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01657-w
Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65) Gravitational energy and conservation laws; groups of motions (83C40) Euler-Maclaurin formula in numerical analysis (65B15) Euler-Poisson-Darboux equations (35Q05) Radiative transfer in astronomy and astrophysics (85A25) Propagation of singularities; initial value problems on manifolds (58J47) Green's functions for elliptic equations (35J08)
Cites Work
- Unnamed Item
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- Convergence rates to asymptotic profile for solutions of quasilinear hyperbolic equations with nonlinear damping
- \(L^{p}\)-decay rates to nonlinear diffusion waves for \(p\)-system with nonlinear damping
- An asymptotic preserving relaxation scheme for a moment model of radiative transfer
- Nonlinear diffusion waves for hyperbolic \(p\)-system with nonlinear damping
- Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
- On the asymptotic behavior of solutions of semi-linear wave equations
- 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
- The \(L^{p}\)--\(L^{q}\) estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media
- Convergence rate for compressible Euler equations with damping and vacuum
- Asymptotic behaviors of solutions of quasilinear hyperbolic equations with linear damping. II
- Convergence to the Barenblatt solution for the compressible Euler equations with damping and vacuum
- 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
- Analysis of the \(M 1\) model: well-posedness and diffusion asymptotics
- 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
- Existence and asymptotic behavior of \(C^1\) solutions to the multi-dimensional compressible Euler equations with damping
- Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum
- Best Asymptotic Profile for Hyperbolicp-System with Damping
- Boundary effects and large-time behaviour for quasilinear equations with nonlinear damping
- Asymptotics toward the diffusion wave for a one-dimensional compressible flow through porous media
- Convergence to strong nonlinear diffusion waves for solutions of \(p\)-system with damping
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