THE ZERO DIFFUSION LIMIT FOR NONLINEAR HYPERBOLIC SYSTEM WITH DAMPING AND DIFFUSION
From MaRDI portal
Publication:3605778
DOI10.1142/S0219891608001696zbMath1169.35308MaRDI QIDQ3605778
Publication date: 24 February 2009
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) First-order nonlinear hyperbolic equations (35L60) A priori estimates in context of PDEs (35B45) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for second-order parabolic systems (35K45)
Related Items (7)
Unique solvability and zero diffusion limits of global large solution for a nonlinear hyperbolic system with damping and diffusion ⋮ Boundary layer of Hsieh's equation with conservative nonlinearity ⋮ Vanishing diffusion limit and boundary layers for a nonlinear hyperbolic system with damping and diffusion ⋮ Boundary layer effects for the nonlinear evolution equations with the vanishing diffusion limit ⋮ Global well-posedness and zero diffusion limit of classical solutions to 3D conservation laws arising in chemotaxis ⋮ A note on boundary layer of a nonlinear evolution system with damping and diffusions ⋮ Convergence rates of vanishing diffusion limit on nonlinear hyperbolic system with damping and diffusion
Cites Work
- Optimal \(L^{p}(1\leq p \leq \infty)\) rates of decay to linear diffusion waves for nonlinear evolution equations with ellipticity and dissipation
- 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
- 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
- Optimal decay rates to diffusion wave for nonlinear evolution equations with ellipticity
- Optimal decay rates of solutions to dissipative 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
- Dynamics of Perturbed Wavetrain Solutions to the Ginzburg-Landau Equation
- On partial differential equations related to Lorenz system
- Deterministic Nonperiodic Flow
- Dissipative Nonlinear Evolution Equations and Chaos
This page was built for publication: THE ZERO DIFFUSION LIMIT FOR NONLINEAR HYPERBOLIC SYSTEM WITH DAMPING AND DIFFUSION
