207 Publications (Page 4 of 9)
2010
2$-modified characteristic Fredholm determinants, Hill's method, and the periodic Evans function of GardneZumbrun, Kevin2010-11-25.
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A LOCAL GREEDY ALGORITHM AND HIGHER-ORDER EXTENSIONS FOR GLOBAL NUMERICAL CONTINUATION OF ANALYTICALLY VARYING SUBSPACESZumbrun, KevinQuarterly of Applied Mathematics, vol. 68, (no. 3), pp. 561, 20100901.
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A numerical stability investigation of strong ZND detonations for Majda's modelBarker, Blake and Zumbrun, Kevin2010-11-06.
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Conditional Stability of Unstable Viscous Shock Waves in Compressible Gas Dynamics and MHDZumbrun, KevinArchive for Rational Mechanics and Analysis, vol. 198, (no. 3), pp. 1056, 20101200.
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Convergence of Hill's method for nonselfadjoint operatorsJohnson, Mathew A⋅Johnson, Mathew A⋅Zumbrun, Kevin and Zumbrun, Kevin2010-09-20.
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Erratum to: Stability and Asymptotic Behavior of Periodic Traveling Wave Solutions of Viscous Conservation Laws in Several DimensionsOh, Myunghyun and Zumbrun, KevinArchive for Rational Mechanics and Analysis, vol. 196, (no. 1), pp. 23, 2010-04-00.
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Existence and Stability of Noncharacteristic Boundary Layers for the Compressible Navier–Stokes and Viscous MHD EquationsGuès, Olivier⋅Métivier, Guy⋅Williams, Mark and Zumbrun, KevinArchive for Rational Mechanics and Analysis, vol. 197, (no. 1), pp. 87, 2010-07-00.
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Existence and stability of steady states of a reaction convection diffusion equation modeling microtubule formationYarahmadian, Shantia⋅Yarahmadian, Shantia⋅Yarahmadian, Shantia⋅Barker, Blake⋅Barker, Blake⋅Barker, Blake⋅Zumbrun, Kevin⋅Zumbrun, Kevin⋅Zumbrun, Kevin⋅Shaw, Sidney L⋅Shaw, Sidney L and Shaw, Sidney L2010-04-11.
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Long-Time Stability of Multi-Dimensional Noncharacteristic Viscous Boundary LayersNguyen, Toan and Zumbrun, KevinCommunications in Mathematical Physics, vol. 299, (no. 1), pp. 44, 20101000.
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Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic caseJohnson, Mathew A⋅Johnson, Mathew A⋅Zumbrun, Kevin and Zumbrun, KevinJournal of Differential Equations, vol. 249, (no. 5), pp. 1240, 2010.
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Nonlinear Stability of Semidiscrete Shocks for Two-Sided SchemesBeck, Margaret⋅Beck, Margaret⋅Hupkes, Hermen J⋅Hupkes, Hermen Jan⋅Sandstede, Björn⋅Sandstede, Björn⋅Zumbrun, Kevin and Zumbrun, KevinSIAM Journal on Mathematical Analysis, vol. 42, (no. 2), pp. 903, 2010-01-00.
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Nonlinear Stability of Time-Periodic Viscous ShocksBeck, Margaret⋅Beck, Margaret⋅Sandstede, Björn⋅Sandstede, Björn⋅Zumbrun, Kevin and Zumbrun, KevinArchive for Rational Mechanics and Analysis, vol. 196, (no. 3), pp. 1076, 20100600.
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Nonlinear stability of viscous roll wavesJohnson, Mathew⋅Johnson, Mathew⋅Zumbrun, Kevin⋅Zumbrun, Kevin⋅Noble, Pascal and Noble, Pascal2010-02-03.
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One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamicsBarker, Blake⋅Barker, B.⋅Humpherys, Jeffrey⋅Humpherys, J.⋅Zumbrun, K. and Zumbrun, KevinJournal of Differential Equations, vol. 249, (no. 9), pp. 2213, 2010.
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On the modulation equations and stability of periodic generalized Korteweg–de Vries waves via Bloch decompositionsJohnson, Mathew A⋅Johnson, Mathew A⋅Zumbrun, Kevin⋅Zumbrun, Kevin⋅Bronski, Jared C and Bronski, Jared CPhysica D: Nonlinear Phenomena, vol. 239, (no. 23), pp. 2065, 2010.
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Stability and Asymptotic Behavior of Periodic Traveling Wave Solutions of Viscous Conservation Laws in Several DimensionsOh, Myunghyun and Zumbrun, KevinArchive for Rational Mechanics and Analysis, vol. 196, (no. 1), pp. 20, 2010-04-00.
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Stability of Isentropic Navier–Stokes Shocks in the High-Mach Number LimitHumpherys, Jeffrey⋅Lafitte, Olivier and Zumbrun, KevinCommunications in Mathematical Physics, vol. 293, (no. 1), pp. 36, 2010-01-00.
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STABILITY OF NONCHARACTERISTIC BOUNDARY LAYERS IN THE STANDING-SHOCK LIMITZumbrun, KevinTransactions of the American Mathematical Society, vol. 362, (no. 12), pp. 6424, 20101201.
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Stability of Periodic Kuramoto-Sivashinsky WavesBarker, Blake⋅Barker, Blake⋅Johnson, Mathew A⋅Johnson, Mathew A⋅Noble, Pascal⋅Noble, Pascal⋅Rodrigues, L. Miguel⋅Rodrigues, L. Miguel⋅Zumbrun, Kevin and Zumbrun, Kevin2010-12-21.
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Stability of radiative shock profiles for hyperbolic–elliptic coupled systemsNguyen, Toan⋅Nguyen, Toan⋅Plaza, Ramon G⋅Plaza, Ramón G⋅Zumbrun, Kevin and Zumbrun, KevinPhysica D: Nonlinear Phenomena, vol. 239, (no. 8), pp. 453, 2010.
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Stability of Scalar Radiative Shock ProfilesLattanzio, Corrado⋅Mascia, Corrado⋅Nguyen, Toan⋅Plaza, Ramón G and Zumbrun, KevinSIAM Journal on Mathematical Analysis, vol. 41, (no. 6), pp. 2206, 2010-01-00.
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The refined inviscid stability condition and cellular instability of viscous shock wavesZumbrun, KevinPhysica D: Nonlinear Phenomena, vol. 239, (no. 13), pp. 1180-1187, 2010.
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The Resistive State in a Superconducting Wire: Bifurcation from the Normal StateRubinstein, Jacob⋅Rubinstein, Jacob⋅Rubinstein, Jacob⋅Sternberg, Peter⋅Sternberg, Peter⋅Sternberg, Peter⋅Zumbrun, Kevin⋅Zumbrun, Kevin and Zumbrun, KevinArchive for Rational Mechanics and Analysis, vol. 195, (no. 1), pp. 158, 20100100.
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Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev–Petviashvili EquationJohnson, Mathew⋅Johnson, Mathew A⋅Zumbrun, Kevin and Zumbrun, KevinSIAM Journal on Mathematical Analysis, vol. 42, (no. 6), pp. 2702, 2010-01-00.
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Whitham averaged equations and modulational stability of periodic traveling waves of a hyperbolic-parabolic balance lawBarker, Blake⋅Barker, Blake⋅Barker, Blake⋅Johnson, Mathew⋅Johnson, Mathew⋅Johnson, Mathew⋅Noble, Pascal⋅Noble, Pascal⋅Noble, Pascal⋅Rodrigues, L.Miguel⋅Rodrigues, L.Miguel⋅Rodrigues, L.Miguel⋅Zumbrun, Kevin⋅Zumbrun, Kevin and Zumbrun, KevinJournées Équations aux dérivées partielles, pp. 24, 2010-00-00.
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