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2021 journal article
Geometric singular perturbation theory analysis of an epidemic model with spontaneous human behavioral change
JOURNAL OF MATHEMATICAL BIOLOGY, 82(6).
2021 article
MORE TRAVELING WAVES IN THE HOLLING-TANNER MODEL WITH WEAK DIFFUSION
Manukian, V., & Schecter, S. (2021, October). DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B.
2018 journal article
Stability of combustion waves in a simplified gas-solid combustion model in porous media
2016 journal article
Stability of Concatenated Traveling Waves
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 28(3-4), 867β896.
2016 journal article
The entry-exit function and geometric singular perturbation theory
JOURNAL OF DIFFERENTIAL EQUATIONS, 260(8), 6697β6715.
2015 journal article
Stability of concatenated traveling waves: Alternate approaches
JOURNAL OF DIFFERENTIAL EQUATIONS, 259(7), 3144β3177.
2015 journal article
Travelling waves in the Holling-Tanner model with weak diffusion
2014 journal article
Combustion waves and Riemann solutions in light porous foam
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 11(2), 295β328.
2014 journal article
Morse theory for Lagrange multipliers and adiabatic limits
JOURNAL OF DIFFERENTIAL EQUATIONS, 257(12), 4277β4318.
2013 journal article
GASLESS COMBUSTION FRONTS WITH HEAT LOSS
SIAM JOURNAL ON APPLIED MATHEMATICS, 73(3), 1303β1326.
2013 journal article
Stability of Traveling Waves in Partly Parabolic Systems
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 8(5), 31β47.
2012 journal article
DAFERMOS REGULARIZATION OF A DIFFUSIVE-DISPERSIVE EQUATION WITH CUBIC FLUX
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 32(12), 4069β4110.
2010 journal article
Heteroclinic Orbits in Slow-Fast Hamiltonian Systems with Slow Manifold Bifurcations
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 22(4), 629β655.
2010 journal article
STABILITY OF TRAVELING WAVES FOR A CLASS OF REACTION-DIFFUSION SYSTEMS THAT ARISE IN CHEMICAL REACTION MODELS
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 42(6), 2434β2472.
2010 journal article
Stability of Gasless Combustion Fronts in One-Dimensional Solids
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 198(3), 981β1030.
2009 journal article
Persistence of Rarefactions under Dafermos Regularization: Blow-Up and an Exchange Lemma for Gain-of-Stability Turning Points
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 8(3), 822β853.
2009 journal article
Travelling waves for a thin liquid film with surfactant on an inclined plane
NONLINEARITY, 22(1), 85β122.
2008 journal article
Exchange lemmas 1: Deng's lemma
JOURNAL OF DIFFERENTIAL EQUATIONS, 245(2), 392β410.
2008 journal article
Exchange lemmas 2: General Exchange Lemma
JOURNAL OF DIFFERENTIAL EQUATIONS, 245(2), 411β441.
2006 journal article
Combustion fronts in a porous medium with two layers
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 18(3), 615β665.
2006 journal article
Eigenvalues of self-similar solutions of the dafermos regularization of a system of conservation laws via geometric singular perturbation theory
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 18(1), 53β101.
2004 journal article
Computation of Riemann solutions using the Dafermos regularization and continuation
Discrete and Continuous Dynamical Systems, 10(4), 965β986.
2004 journal article
Existence of Dafermos profiles for singular shocks
Journal of Differential Equations, 205(1), 185β210.
2003 journal article
Oxidation heat pulses in two-phase expansive flow in porous media
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 54(1), 48β83.
2003 journal article
Stability of self-similar solutions of the Dafermos regularization of a system of conservation laws
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 35(4), 884β921.
2002 journal article
Traveling-wave solutions of convection-diffusion systems by center manifold reduction
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 49(1), 35β59.
2002 journal article
Undercompressive shock waves and the Dafermos regularization
NONLINEARITY, 15(4), 1361β1377.
2001 journal article
Geometric singular perturbation analysis of oxidation heat pulses for two-phase flow in porous media
BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA, 32(3), 237β270.
1999 journal article
Codimension-one Riemann solutions: Classical missing rarefaction cases
JOURNAL OF DIFFERENTIAL EQUATIONS, 157(2), 247β318.
1997 journal article
An organizing center for wave bifurcation in multiphase flow models
SIAM Journal on Applied Mathematics, 57(5), 1189β1215.