The stability of travelling fronts for general scalar viscous balance law

DOI10.1016/j.jmaa.2004.12.042zbMath1073.35112OpenAlexW1999277523MaRDI QIDQ1773322

Yaping Wu, Xiuxia Xing

Publication date: 28 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.042

zbMATH Keywords

ExistenceAsymptotic stabilitySpectral analysisWeighted spacesShooting methodsPhase plane methodSmooth monotone waves

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25)

Related Items (6)

Discontinuous traveling wave entropy solutions for a sedimentation-consolidation model ⋮ Diffusive and inviscid traveling waves of the Fisher equation and nonuniqueness of wave speed ⋮ Discontinuous traveling waves for scalar hyperbolic-parabolic balance law ⋮ Orbital instability of periodic waves for scalar viscous balance laws ⋮ Vanishing diffusion limits for planar fronts in bistable models with saturation ⋮ Existence and spectral instability of bounded spatially periodic traveling waves for scalar viscous balance laws

Cites Work

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• Geometric theory of semilinear parabolic equations
• On the stability of waves of nonlinear parabolic systems
• On the stability of travelling waves in weighted \(L^ \infty\) spaces
• Continuity in finite time of entropy solutions for nonconvex conservation laws with reaction term
• Pointwise semigroup methods and stability of viscous shock waves
• Stability of travelling waves for non‐convex scalar viscous conservation laws
• Travelling wave solutions for a balance law
• Qualitative behavior of conservation laws with reaction term and nonconvex flux

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