Spectral stability of shock-fronted travelling waves under viscous relaxation
DOI10.1007/s00332-023-09941-xarXiv2208.10064OpenAlexW4384339307MaRDI QIDQ6168866
Robert Marangell, Ian Lizarraga
Publication date: 9 August 2023
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.10064
spectrumnonlinear reaction-diffusion equationgeometric singular perturbation theorylinearized operatorviscous relaxation
PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Shock waves and blast waves in fluid mechanics (76L05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Interfacial stability and instability in hydrodynamic stability (76E17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiple time scale dynamics
- Transversal heteroclinic and homoclinic orbits in singular perturbation problems
- Exchange lemmas 2: General exchange Lemma
- Generalized exchange lemmas and orbits heteroclinic to invariant manifolds
- Geometric theory of semilinear parabolic equations
- Geometric singular perturbation theory for ordinary differential equations
- Tracking invariant manifolds with differential forms in singularly perturbed systems
- Stability of the Camassa-Holm solitons
- Relaxation oscillations in \({\mathbb R}^3\)
- Shocks in nonlinear diffusion
- Spectral and dynamical stability of nonlinear waves
- Shock-fronted travelling waves in a reaction-diffusion model with nonlinear forward-backward-forward diffusion
- Travelling wave solutions in a negative nonlinear diffusion-reaction model
- Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
- À propos de canards (Apropos canards)
- Novel solutions for a model of wound healing angiogenesis
- Existence of Infinitely Many Solutions for a Forward Backward Heat Equation
- (In)stability of Travelling Waves in a Model of Haptotaxis
- Spectra and Stability of Spatially Periodic Pulse Patterns: Evans Function Factorization via Riccati Transformation
- Front migration in the nonlinear Cahn-Hilliard equation
- Folds, canards and shocks in advection–reaction–diffusion models
- Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
- Stable Patterns in a Viscous Diffusion Equation
- Stability of Travelling Wave Solutions of Diffusive Predator-Prey Systems
- An integrable shallow water equation with peaked solitons
- The Structure of Internal Layers for Unstable Nonlinear Diffusion Equations
- Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
- A Geometric Approach to Singularly Perturbed Nonlocal Reaction-Diffusion Equations
- Transonic Evaporation Waves in a Spherically Symmetric Nozzle
- Angles in complex vector spaces
This page was built for publication: Spectral stability of shock-fronted travelling waves under viscous relaxation
