Attractors in Inhomogeneous Conservation Laws and Parabolic Regularizations
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Publication:4846109
DOI10.2307/2154808zbMath0831.35103OpenAlexW4251765409MaRDI QIDQ4846109
Publication date: 15 February 1996
Full work available at URL: https://doi.org/10.2307/2154808
global attractorperiodic boundary conditionsgeneralized characteristicsingularly perturbed parabolic equation
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65)
Related Items
Heteroclinic orbits between rotating waves in hyperbolic balance laws ⋮ Attractors of viscous balance laws: Uniform estimates for the dimension ⋮ Initial boundary value problem for 1D scalar balance laws with strictly convex flux ⋮ Large-time behavior for conservation laws with source in a bounded domain ⋮ Hyperbolic conservation laws with stiff reaction terms of monostable type ⋮ Instability of discontinuous traveling waves for hyperbolic balance laws ⋮ Existence and spectral instability of bounded spatially periodic traveling waves for scalar viscous balance laws ⋮ Zero reaction limit for hyperbolic conservation laws with source terms ⋮ Conservation laws with a degenerate source: traveling waves, large-time behavior and zero relaxation limit ⋮ Wave patterns, stability, and slow motions in inviscid and viscous hyperbolic equations with stiff reaction terms
Cites Work
- A Poincaré-Bendixson theorem for scalar reaction diffusion equations
- Infinite-dimensional dynamical systems in mechanics and physics
- Large-time structure of solutions of scalar conservation laws without convexity in the presence of a linear source field
- Large-time behavior in inhomogeneous conservation laws
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