Convergence rates of vanishing diffusion limit on nonlinear hyperbolic system with damping and diffusion
DOI10.1063/1.4751283zbMath1379.35180OpenAlexW2028462888MaRDI QIDQ2872297
Publication date: 14 January 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4751283
Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Diffusion processes (60J60) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for second-order parabolic systems (35K45)
Related Items (3)
Cites Work
- Global decaying solution to dissipative nonlinear evolution equations with ellipticity
- Boundary layer for nonlinear evolution equations with damping and diffusion
- Decay rates of solutions to the Cauchy problem for dissipative nonlinear evolution equations
- Asymptotic behavior of solution to nonlinear evolution equations with damping
- Properties of global decaying solution to the Cauchy problem of nonlinear evolution equations
- Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
- Nonlinear stability for dissipative nonlinear evolution equations with ellipticity
- Gradient estimation on Navier-Stokes equations
- Global smooth solutions to the spatially periodic Cauchy problem for dissipative nonlinear evolution equations
- Asymptotic behavior of solutions for \(p\)-system with relaxation
- Decay rates of solutions to dissipative nonlinear evolution equations with ellipticity
- Asymptotics of dissipative nonlinear evolution equations with ellipticity: different end states
- Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
- Boundary layers for the Navier-Stokes equations of compressible fluids
- Optimal decay rates to diffusion wave for nonlinear evolution equations with ellipticity
- Asymptotic profile of solutions to nonlinear dissipative evolution system with ellipticity
- Convergence to diffusion waves for nonlinear evolution equations with ellipticity and damping, and with different end states
- THE ZERO DIFFUSION LIMIT FOR NONLINEAR HYPERBOLIC SYSTEM WITH DAMPING AND DIFFUSION
- Dynamics of Perturbed Wavetrain Solutions to the Ginzburg-Landau Equation
- On partial differential equations related to Lorenz system
- Zero-viscosity limit of the linearized Navier-Stokes equations for a compressible viscous fluid in the half-plane
- On the cauchy problem for certain system of semilinear parabolic equations
- Deterministic Nonperiodic Flow
- Dissipative Nonlinear Evolution Equations and Chaos
- Boundary Layers for the Navier–Stokes Equations of Compressible Heat-Conducting Flows with Cylindrical Symmetry
- Large time profile of solutions for a dissipative nonlinear evolution system with conservational form
This page was built for publication: Convergence rates of vanishing diffusion limit on nonlinear hyperbolic system with damping and diffusion
