Alternate Evans Functions and Viscous Shock Waves

No abstract is available for this paper.

• Publication year

  2001

• Venue

  SIAM Journal on Mathematical Analysis

• Publication date

  Unknown publication date

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1137/S0036141099361834
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Errata to: 'Pointwise semigroup methods and stability of viscous shock waves'

  2002cited by this paper
• La transition vers l’instabilité pour les ondes de choc multi-dimensionnelles

  2001cited by this paper
• Numerical Investigation of Examples of Unstable Viscous Shock Waves

  2001cited by this paper
• Viscous and inviscid stability of multidimensional planar shock fronts

  1999cited by this paper
• Hodge duality and the Evans function

  1999cited by this paper
• Stability of bright solitary-wave solutions to perturbed nonlinear Schro

  1998cited by this paper
• THE EVANS FUNCTION AND GENERALIZED MELNIKOV INTEGRALS

  1998cited by this paper
• The gap lemma and geometric criteria for instability of viscous shock profiles

  1998cited by this paper
• Stability of pulses on optical fibers with phase-sensitive amplifiers

  1997cited by this paper
• STABILITY OF TRAVELING WAVES FOR NONCONVEX SCALAR VISCOUS CONSERVATION-LAWS

  1993cited by this paper
• Eigenvalues, and instabilities of solitary waves

  1992cited by this paper
• The stability of homoclinic pulses: a generalisation of Evans's method

  1992cited by this paper
• A stability index for steady state solutions of boundary value problems for parabolic systems

  1991cited by this paper
• TRAVELING WAVES OF A PERTURBED DIFFUSION EQUATION ARISING IN A PHASE FIELD MODEL

  1990cited by this paper
• A topological invariant arising in the stability analysis of travelling waves.

  1990cited by this paper
• Geometric Theory of Semilinear Parabolic Equations

  1989cited by this paper
• Stable viscosity matrices for systems of conservation laws

  1985cited by this paper
• Systems of a Hyperbolic-Parabolic Composite Type, with Applications to the Equations of Magnetohydrodynamics

  1984cited by this paper
• Stability of the travelling wave solution of the FitzHugh-Nagumo system

  1984cited by this paper
• Nerve Axon Equations: III Stability of the Nerve Impulse

  1972cited by this paper
• Nerve Axon Equations: II Stability at Rest

  1972cited by this paper

• Admissibility of discontinuities in the solutions of a hyperbolic 2 × 2 system of conservation laws

  2025cites this paper
• Traveling Wave Solution for a Hyperbolic Differential Equation

  2024cites this paper
• Characteristic Boundary Layers for Mixed Hyperbolic‐Parabolic Systems in One Space Dimension and Applications to the Navier‐Stokes and MHD Equations

  2018cites this paper
• Evans function computation for the stability of travelling waves

  2018cites this paper
• Spectra and Stability of Spatially Periodic Pulse Patterns II: The Critical Spectral Curve

  2018cites this paper
• Analyse numérique de systèmes hyperboliques-dispersifs

  2017influential citation
• An overview on the approximation of boundary Riemann problems through physical viscosity

  2016cites this paper
• The relative entropy method for the stability of intermediate shock waves; the rich case

  2016cites this paper
• Numerical proof of stability of viscous shock profiles

  2016cites this paper
• An overview on the approximation of boundary Riemann problems through physical viscosity

  2016cites this paper
• Periodic pulse solutions to slowly nonlinear reaction-diffusion systems

  2016cites this paper
• Multi-dimensional Systems of Conservation Laws: An Introductory Lecture

  2014cites this paper
• The Evans Function for Sturm–Liouville Operators on the Real Line

  2013cites this paper
• The Evans Function for nth-Order Operators on the Real Line

  2013cites this paper
• Asymptotic stability and modulation of periodic wavetrains

  2013cites this paper
• Computing the refined stability condition

  2012cites this paper
• Stability of Gasless Combustion Fronts in One-Dimensional Solids

  2010cites this paper
• Evans Function Computation

  2009cites this paper
• Algebraic dichotomies with an application to the stability of Riemann solutions of conservation laws

  2009cites this paper
• Existence and Stability of Noncharacteristic Boundary Layers for the Compressible Navier–Stokes and Viscous MHD Equations

  2008influential citation
• On the shock wave spectrum for isentropic gas dynamics with capillarity

  2008cites this paper
• Stability of Viscous Shocks in Isentropic Gas Dynamics

  2007cites this paper
• Problèmes hyperboliques à coefficients discontinus et pénalisation de problèmes hyperboliques

  2007cites this paper
• Study of the linear ablation growth rate for the quasi isobaric model of Euler equations with thermal conductivity

  2007cites this paper
• Discrete Shock Profiles: Existence and Stability

  2007cites this paper
• Shock waves in gas dynamics.

  2007cites this paper
• STABILITY OF TRAVELLING WAVES WITH ALGEBRAIC DECAY FOR n-DEGREE FISHER-TYPE EQUATIONS

  2006cites this paper
• Slow Eigenvalues of Self-similar Solutions of the Dafermos Regularization of a System of Conservation Laws: an Analytic Approach

  2006cites this paper
• Waves in Systems of Conservation Laws: Large vs Small Scales

  2006cites this paper
• The Boundary Riemann Solver Coming from the Real Vanishing Viscosity Approximation

  2006cites this paper
• A sharp stability criterion for propagating phase boundaries in Korteweg's model

  2006cites this paper
• Eigenvalues of Self-Similar Solutions of the Dafermos Regularization of a System of Conservation Laws via Geometric Singular Perturbation Theory

  2006cites this paper
• Spectral Stability of Periodic Solutions of Viscous Conservation Laws: Large Wavelength Analysis

  2005cites this paper
• Stability of Large-Amplitude Shock Profiles of General Relaxation Systems

  2005cites this paper
• An efficient shooting algorithm for Evans function calculations in large systems

  2005cites this paper
• Evans Functions, Jost Functions, and Fredholm Determinants

  2005cites this paper
• Stability of spatially periodic pulse patterns in a class of singularly perturbed reaction-diffusion equations.

  2005cites this paper
• A Robust Numerical Method to Study Oscillatory Instability of Gap Solitary Waves

  2004cites this paper
• Stability of undercompressive shock profiles

  2004cites this paper
• Planar Stability Criteria for Viscous Shock Waves of Systems with Real Viscosity

  2004cites this paper
• Stability of Large-Amplitude Viscous Shock Profiles of Hyperbolic-Parabolic Systems

  2004cites this paper
• Stability of small‐amplitude shock profiles of symmetric hyperbolic‐parabolic systems

  2004cites this paper
• AN EVANS FUNCTION APPROACH TO SPECTRAL STABILITY OF SMALL-AMPLITUDE SHOCK PROFILES

  2004cites this paper
• Green's function pointwise estimates for the modified Lax-Friedrichs scheme

  2003cites this paper
• Pointwise Green Function Bounds for Shock Profiles of Systems with Real Viscosity

  2003cites this paper
• A stability index for detonation waves in Majda’s model for reacting flow

  2003cites this paper
• A Lax shock profile satisfying a sufficient condition of spectral instability

  2003cites this paper
• One-Dimensional Stability of Viscous Strong Detonation Waves

  2003cites this paper
• Stability of Self-Similar Solutions of the Dafermos Regularization of a System of Conservation Laws

  2003cites this paper
• Constructing the symplectic Evans matrix using maximally analytic individual vectors

  2003cites this paper
• Stability of Large-Amplitude Shock Waves of Compressible Navier–Stokes Equations

  2003cites this paper
• SPECTRAL ENERGY METHODS AND THE STABILITY OF SHOCK WAVES

  2003cites this paper
• Stability of Periodic Solutions¶of Conservation Laws with Viscosity:¶Analysis of the Evans Function

  2002cites this paper
• Stability of Semi-Discrete Shock Profiles by Means of an Evans Function in Infinite Dimensions

  2002influential citation
• Generic types and transitions in hyperbolic initial–boundary-value problems

  2002cites this paper
• Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework

  2002cites this paper
• Inviscid boundary conditions and stability of viscous boundary layers

  2001cites this paper
• Multidimensional Stability of Planar Viscous Shock Waves

  2001cites this paper
• Stability of one‐dimensional boundary layers by using Green's functions

  2001cites this paper
• Sur la stabilité des couches limites de viscosité

  2001cites this paper
• On the stability of large amplitude semi-discrete shock profiles by means of an Evans function in infinite dimensions

  2001cites this paper
• Pointwise Green's function bounds and stability of relaxation shocks

  2001cites this paper
• Linear stability of shock profiles for systems of conservation laws with semi-linear relaxation

  2001cites this paper
• Linear stability of propagating phase boundaries in capillary fluids

  2001cites this paper
• Boundary layer stability in realvanishing viscosity limitDenis Serre

  2000cites this paper
• Weak (in)stability of Propagating Liquid-vapor Interfaces in Capillary Uids Contents 1 Subsonic Phase Transitions in Capillary Uids 3 2 One-dimensional Stability 7

  2000cites this paper
• On the Stability of Propagating Liquid-vapor Interfaces in Capillary Uids

  year unknowncites this paper
• Nonlinear Stability of Semi-discrete Shock Waves

  year unknowncites this paper