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Kevin Zumbrun

Identifiers

  • name variant Kevin Zumbrun 0.60 · backfill

Papers (114)

  1. A Sturm Liouville theorem for quadratic operator pencils math.CA · 2019 · author #2
  2. Spectral stability of hydraulic shock profiles math.AP · 2018 · author #3
  3. Spectral Stability of Inviscid Roll Waves math.AP · 2018 · author #5
  4. Nonlinear stability of source defects in oscillatory media math.AP · 2018 · author #4
  5. Convergence as period goes to infinity of spectra of periodic traveling waves toward essential spectra of a homoclinic limit math.AP · 2018 · author #2
  6. A singular local minimizer for the volume constrained minimal surface problem in a nonconvex domain math.AP · 2017 · author #2
  7. Existence and stability of steady compressible Navier-Stokes solutions on a finite interval with noncharacteristic boundary conditions math.AP · 2017 · author #2
  8. Euler vs. Lagrange: The role of coordinates in practical Evans-function computations math.AP · 2017 · author #4
  9. Balanced flux formulations for multidimensional Evans function computations for viscous shocks math.AP · 2017 · author #4
  10. Reverse norms and L infinity exponential decay for a class of degenerate evolution systems arising in kinetic theory math.AP · 2017 · author #2
  11. Turing patterns in parabolic systems of conservation laws and numerically observed stability of periodic waves math.AP · 2017 · author #3
  12. L infinity resolvent bounds for steady Boltzmann's equation math.AP · 2016 · author #1
  13. Invariant manifolds for a class of degenerate evolution equations and structure of kinetic shock layers math.AP · 2016 · author #1
  14. Center manifolds for a class of degenerate evolution equations and existence of small amplitude kinetic shocks math.AP · 2016 · author #2
  15. Recent results on stability of planar detonations math.AP · 2016 · author #1
  16. Diffusive stability of spatially periodic solutions of the Brusselator model math.AP · 2016 · author #2
  17. A calculus proof of the Cram\'er-Wold theorem math.PR · 2016 · author #2
  18. Stable manifolds for a class of degenerate evolution equations and exponential decay of kinetic shocks math.DS · 2016 · author #2
  19. On nonlinear stabilization of linearly unstable maps math.DS · 2016 · author #3
  20. Pointwise nonlinear stability of nonlocalized modulated periodic reaction-diffusion waves math.AP · 2016 · author #2
  21. Multidimensional stability of large-amplitude Navier-Stokes shocks math.AP · 2016 · author #3
  22. Numerical proof of stability of viscous shock profiles math.AP · 2016 · author #2
  23. Note on the stability of viscous roll-waves physics.flu-dyn · 2015 · author #5
  24. Block-diagonalization of ODEs in the semiclassical limit and $C^\omega$ vs. $C^\infty$ stationary phase math.CA · 2015 · author #3
  25. Periodic-coefficient damping estimates, and stability of large-amplitude roll waves in inclined thin film flow math.AP · 2015 · author #3
  26. Stability of viscous St. Venant roll-waves: from onset to infinite-Froude number limit math.AP · 2015 · author #5
  27. O(2) Hopf bifurcation of viscous shock waves in a channel math.AP · 2014 · author #3
  28. High-frequency stability of multidimensional ZND detonations math.AP · 2013 · author #3
  29. Viscous hyperstabilization of detonation waves in one space dimension math.AP · 2013 · author #4
  30. Nonlinear stability of source defects in the complex Ginzburg-Landau equation math.AP · 2013 · author #4
  31. Stability of viscous weak detonation waves for Majda's model math.AP · 2013 · author #4
  32. Entropy criteria and stability of extreme shocks: a remark on a paper of Leger and Vasseur math.AP · 2013 · author #2
  33. Stability of viscous detonations for Majda's model math.AP · 2013 · author #3
  34. Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability math.AP · 2012 · author #3
  35. Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations math.AP · 2012 · author #4
  36. Viscous boundary layers in hyperbolic-parabolic systems with Neumann boundary conditions math.AP · 2012 · author #4
  37. Quasi-gradient systems, modulational dichotomies, and stability of spatially periodic patterns math.AP · 2012 · author #3
  38. Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation math.AP · 2012 · author #5
  39. Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit math.AP · 2012 · author #4
  40. Nonlocalized modulation of periodic reaction diffusion waves: The Whitham equation math.AP · 2011 · author #4
  41. Nonlocalized modulation of periodic reaction diffusion waves: Nonlinear stability math.AP · 2011 · author #4
  42. Toward nonlinear stability of sources via a modified Burgers equation math.AP · 2011 · author #4
  43. The Erpenbeck high frequency instability theorem for ZND detonations math-ph · 2011 · author #3
  44. Stability of Periodic Kuramoto-Sivashinsky Waves math.AP · 2010 · author #5
  45. $2$-modified characteristic Fredholm determinants, Hill's method, and the periodic Evans function of Gardne math.SP · 2010 · author #1
  46. A numerical stability investigation of strong ZND detonations for Majda's model math.NA · 2010 · author #2
  47. Efficient numerical stability analysis of detonation waves in ZND math.NA · 2010 · author #2
  48. Convergence of Hill's method for nonselfadjoint operators math.NA · 2010 · author #2
  49. Whitham Averaged Equations and Modulational Stability of Periodic Traveling Waves of a Hyperbolic-Parabolic Balance Law math.AP · 2010 · author #5
  50. High-frequency asymptotics and 1-D stability of ZND detonations in the small-heat release and high-overdrive limits math.AP · 2010 · author #1
  51. Metastability of solitary roll wave solutions of the St. Venant equations with viscosity math.AP · 2010 · author #4
  52. Existence and stability of viscoelastic shock profiles math.AP · 2010 · author #3
  53. Existence and stability of steady states of a reaction convection diffusion equation modeling microtubule formation math.AP · 2010 · author #3
  54. Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction diffusion equations math.AP · 2010 · author #2
  55. On the Modulation Equations and Stability of Periodic GKdV Waves via Bloch Decompositions math.AP · 2010 · author #2
  56. Nonlinear stability of viscous roll waves math.AP · 2010 · author #2
  57. Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case math.AP · 2010 · author #2
  58. Nonlinear stability of periodic traveling wave solutions of viscous conservation laws in dimensions one and two math.AP · 2009 · author #2
  59. Existence and stability of viscous shock profiles for 2-D isentropic MHD with infinite electrical resistivity math.AP · 2009 · author #3
  60. Rigorous Justification of the Whitham Modulation Equations for the Generalized Korteweg-de Vries Equation math.AP · 2009 · author #2
  61. Instantaneous shock location and one-dimensional nonlinear stability of viscous shock wave math.AP · 2009 · author #1
  62. Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev-Petviashvili Equation math.AP · 2009 · author #2
  63. Existence of quasilinear relaxation shock profiles math.AP · 2009 · author #3
  64. Stability of radiative shock profiles for hyperbolic-elliptic coupled systems math.AP · 2009 · author #3
  65. Nash--Moser iteration and singular perturbations math.AP · 2009 · author #2
  66. Existence and sharp localization in velocity of small-amplitude Boltzmann shocks math.AP · 2009 · author #2
  67. Stability of detonations in the ZND limit math.AP · 2009 · author #1
  68. One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamic math.AP · 2009 · author #3
  69. Stability of scalar radiative shock profiles math.AP · 2009 · author #5
  70. The refined inviscid stability condition and cellular instability of viscous shock waves math.AP · 2009 · author #1
  71. Numerical error analysis for Evans function computations: a numerical gap lemma, centered-coordinate methods, and the unreasonable effectiveness of continuous orthogonalization math.NA · 2009 · author #1
  72. Conditional stability of unstable viscous shock waves in compressible gas dynamics and MHD math.AP · 2009 · author #1
  73. Existence of semilinear relaxation shocks math.AP · 2009 · author #2
  74. Transition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutions math.AP · 2008 · author #2
  75. Center stable manifolds for quasilinear parabolic pde and conditional stability of nonclassical viscous shock waves math.AP · 2008 · author #1
  76. Conditional stability of unstable viscous shocks math.AP · 2008 · author #1
  77. Stability and asymptotic behavior of periodic traveling wave solutions of viscous conservation laws in several dimensions math.AP · 2008 · author #2
  78. Nonlinear stability of time-periodic viscous shocks math.AP · 2008 · author #3
  79. A local greedy algorithm and higher order extensions for global numerical continuation of analytically varying subspaces math.NA · 2008 · author #1
  80. Asymptotic Behavior of Multidimensional Scalar Relaxation Shocks math.AP · 2008 · author #2
  81. Stability of noncharacteristic boundary layers in the standing shock limit math.AP · 2008 · author #1
  82. Long-time stability of multi-dimensional noncharacteristic viscous boundary layers math-ph · 2008 · author #2
  83. Existence and stability of noncharacteristic boundary-layers for the compressible Navier-Stokes and viscous MHD equations math.AP · 2008 · author #4
  84. Long-time stability of large-amplitude noncharacteristic boundary layers for hyperbolic--parabolic systems math.AP · 2008 · author #2
  85. Spectral stability of weak relaxation shock profiles math.AP · 2008 · author #2
  86. Derivatives of (Modified) Fredholm Determinants and Stability of Standing and Traveling Waves math.AP · 2008 · author #3
  87. Pointwise Green function bounds and long-time stability of large-amplitude noncharacteristic boundary layers math.AP · 2008 · author #2
  88. The resistive state in a superconducting wire: Bifurcation from the normal state math-ph · 2007 · author #3
  89. Stability of strong ideal-gas shock layers math-ph · 2007 · author #3
  90. Spectral stability of noncharacteristic isentropic Navier-Stokes boundary layers math.AP · 2007 · author #4
  91. Stability of isentropic viscous shock profiles in the high-Mach number limit math.AP · 2007 · author #3
  92. Stability of viscous shocks in isentropic gas dynamics math.AP · 2007 · author #4
  93. Stability of undercompressive viscous shock profiles of hyperbolic--parabolic systems math.AP · 2007 · author #2
  94. Hopf bifurcation of viscous shock wave solutions of compressible Navier-Stokes equations and MHD math.AP · 2006 · author #2
  95. Galloping instability of viscous shock waves math.AP · 2006 · author #2
  96. Nonclassical multidimensional viscous and inviscid shocks math.AP · 2006 · author #4
  97. Viscous Boundary Value Problems for Symmetric Systems with Variable Multiplicities math.AP · 2006 · author #4
  98. Pointwise Green function bounds and stability of combustion waves math.AP · 2006 · author #4
  99. Low-frequency stability analysis of periodic traveling-wave solutions of viscous conservation laws in several dimensions math.AP · 2005 · author #2
  100. Sharp pointwise bounds for perturbed viscous shock waves math.AP · 2005 · author #3
  101. Uniform stability estimates for constant-coefficient symmetric hyperbolic boundary value problems math.AP · 2005 · author #4
  102. An efficient shooting algorithm for Evans function calculations in large systems math.NA · 2005 · author #2
  103. Stability of undercompressive shock profiles math.AP · 2004 · author #2
  104. Hyperbolic Boundary Value Problems for Symmetric Systems with Variable Multiplicities math.AP · 2004 · author #2
  105. Planar stability critera for viscous shock waves of systems with real viscosity math.AP · 2004 · author #1
  106. Stability of large-amplitude shock waves of compressible Navier--Stokes equations math-ph · 2003 · author #1
  107. A stability index for detonation waves in Majda's model for reacting flow math.AP · 2003 · author #2
  108. On the One-dimensional Stability of Viscous Strong Detonation Waves math.AP · 2003 · author #2
  109. Symmetrizers and Continuity of Stable Subspaces for Parabolic-Hyperbolic Boundary Value Problems math.AP · 2003 · author #2
  110. Stability of periodic solutions of conservation laws with viscosity: Analysis of the Evans function math.AP · 2002 · author #2
  111. An Evans function approach to spectral stability of small-amplitude shock profiles math.AP · 2002 · author #2
  112. Stability of viscous shock profiles for dissipative symmetric hyperbolic-parabolic systems math.AP · 2001 · author #2
  113. Pointwise Green's function bounds and stability of relaxation shocks math.AP · 2001 · author #2
  114. The Obstacle Problem for Functions of Least Gradient math.AP · 1998 · author #2

Mentions

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Frequent Coauthors