Equivalence of low frequency stability conditions for multidimensional detonations in three models of combustion

No abstract is available for this paper.

• Publication year

  2005

• Venue

  Indiana University Mathematics Journal

• Publication date

  Unknown publication date

• Fields of study

  Mathematics, Physics, Engineering

• Identifiers
  DOI 10.1512/IUMJ.2005.54.2685
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Stability of Multidimensional Viscous Shocks

  2007cited by this paper
• Navier–Stokes regularization of multidimensional Euler shocks

  2006cited by this paper
• Existence and Stability of Multidimensional Shock Fronts in the Vanishing Viscosity Limit

  2005cited by this paper
• Evaluation of the Lopatinski Determinant for Multi-dimensional Euler Equations

  2005cited by this paper
• Large Viscous Boundary Layers For Noncharacteristic Nonlinear Hyperbolic Problems

  2005influential reference
• Multidimensional viscous shocks II: The small viscosity limit

  2004cited by this paper
• Multidimensional viscous shocks I: Degenerate symmetrizers and long time stability

  2004cited by this paper
• Global entropy solutions to exothermically reacting, compressible Euler equations

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

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

  2003cited by this paper
• Advances in the Theory of Shock Waves

  2001cited by this paper
• Boundary Layer Stability¶in Real Vanishing Viscosity Limit

  2001cited by this paper
• Multidimensional Stability of Planar Viscous Shock Waves

  2001cited by this paper
• Detonatlve travelling waves for combustions

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

  1999influential reference
• The multi-dimensional stability of weak-heat-release detonations

  1999cited by this paper
• The gap lemma and geometric criteria for instability of viscous shock profiles

  1998influential reference
• Stability of bright solitary-wave solutions to perturbed nonlinear Schro

  1998cited by this paper
• Multidimensional Linear Stability of a Detonation Wave at High Activation Energy

  1997cited by this paper
• Stability, instability and chaos: An introduction to the theory of nonlinear differential equations

  1996cited by this paper
• Theoretical and numerical structure of unstable detonations

  1995cited by this paper
• A geometric singular perturbation analysis of detonation and deflagration waves

  1993influential reference
• Theoretical and numerical structure for unstable two-dimensional detonations

  1992cited by this paper
• Theoretical and numerical structure for unstable one-dimensional detonations

  1991cited by this paper
• Calculation of linear detonation instability: one-dimensional instability of plane detonation

  1990cited by this paper
• The existence and behavior of viscous structure for plane detonation waves

  1989cited by this paper
• On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws

  1988influential reference
• One‐dimensional detonation stability: The spectrum for infinite activation energy

  1988cited by this paper
• Theoretical and numerical structure for reacting shock waves

  1986cited by this paper
• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation

  1985cited by this paper
• Compressible fluid flow and systems of conservation laws in several space variables

  1984cited by this paper
• On the detonation of a combustible gas

  1983cited by this paper
• The stability of multi-dimensional shock fronts

  1983cited by this paper
• The existence of multidimensional shock fronts

  1983cited by this paper
• A Theory for Spontaneous Mach Stem Formation in Reacting Shock Fronts, I. The Basic Perturbation Analysis

  1983cited by this paper
• The stability of multidimensional shock fronts

  1983cited by this paper
• Introduction to the theory of linear partial differential equations

  1982cited by this paper
• Theory of unstable one-dimensional detonations

  1982cited by this paper
• Detonation: Theory and Experiment

  1979cited by this paper
• Initial boundary value problems for hyperbolic systems

  1970influential reference
• Nonlinear Theory of Unstable Two‐Dimensional Detonation

  1967cited by this paper
• Perturbation theory for linear operators

  1966cited by this paper
• Detonation Stability for Disturbances of Small Transverse Wavelength

  1966cited by this paper
• Flow Calculations for Pulsating One‐Dimensional Detonations

  1966cited by this paper
• Stability and Asymptotic Behavior of Differential Equations

  1965cited by this paper
• STABILITY OF IDEALIZED ONE-REACTION DETONATIONS

  1964cited by this paper
• Steady Detonations in Idealized Two‐Reaction Systems

  1964cited by this paper
• Hydrodynamic and Hydromagnetic Stability. By S. CHANDRASEKHAR. Clarendon Press: Oxford University Press, 1961. 652 pp. £5. 5s.

  1962cited by this paper
• Stability of Step Shocks

  1962cited by this paper
• Stability of Steady‐State Equilibrium Detonations

  1962cited by this paper
• Supersonic Flow and Shock Waves

  1949cited by this paper

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  2024cites this paper
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  2024cites this paper
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  2023cites this paper
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  2023cites this paper
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  2023cites this paper
• Pointwise space–time estimates for compressible Navier–Stokes equations for a reacting mixture

  2022cites this paper
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  2022cites this paper
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  2021cites this paper
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  2020cites this paper
• Global well-posedness and time-decay estimates for compressible Navier-Stokes equations with reaction diffusion

  2020cites this paper
• Global spherically symmetric flows for a viscous radiative and reactive gas in an exterior domain

  2019cites this paper
• Spectral Stability of Inviscid Roll Waves

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

  2018cites this paper
• Stability of Hydraulic Shock Profiles

  2018cites this paper
• Recent Results on Stability of Planar Detonations

  2016cites this paper
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  2013cites this paper
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  2013cites this paper
• ENTROPY SOLUTIONS OF A CHAPMAN–JOUGUET COMBUSTION MODEL

  2012cites this paper
• Stability of ZND detonations for Majda’s model

  2012cites this paper
• Stability and Dynamics of Viscous Shock Waves

  2011cites this paper
• Stability of Detonation Profiles in the ZND Limit

  2011influential citation
• The Erpenbeck High Frequency Instability Theorem for Zeldovitch–von Neumann–Döring Detonations

  2011cites this paper
• High-Frequency Asymptotics and One-Dimensional Stability of Zel’dovich–von Neumann–Döring Detonations in the Small-Heat Release and High-Overdrive Limits

  2011influential citation
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  2010cites this paper
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  2010cites this paper
• Symmetric solutions to multi-dimensional conservation laws

  2010cites this paper
• A numerical stability investigation of strong ZND detonations for Majda's model

  2010cites this paper
• Stability of detonations in the ZND limit

  2009cites this paper
• 2 Se p 20 06 Galloping instability of viscous shock waves

  2008cites this paper
• Transition to Longitudinal Instability of Detonation Waves is Generically Associated with Hopf Bifurcation to Time-Periodic Galloping Solutions

  2008cites this paper
• Existence and stability of curved multidimensional detonation fronts

  2007influential citation
• Pointwise Green function bounds and stability of combustion waves

  2006influential citation
• Galloping instability of viscous shock waves

  2006influential citation