Stephen Schecter

Geometric singular perturbation theory analysis of an epidemic model with spontaneous human behavioral change

JOURNAL OF MATHEMATICAL BIOLOGY, 82(6).

MORE TRAVELING WAVES IN THE HOLLING-TANNER MODEL WITH WEAK DIFFUSION

Manukian, V., & Schecter, S. (2021, October). DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B.

Stability of combustion waves in a simplified gas-solid combustion model in porous media

Stability of Concatenated Traveling Waves

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 28(3-4), 867–896.

The entry-exit function and geometric singular perturbation theory

JOURNAL OF DIFFERENTIAL EQUATIONS, 260(8), 6697–6715.

Stability of concatenated traveling waves: Alternate approaches

JOURNAL OF DIFFERENTIAL EQUATIONS, 259(7), 3144–3177.

Travelling waves in the Holling-Tanner model with weak diffusion

Combustion waves and Riemann solutions in light porous foam

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 11(2), 295–328.

Morse theory for Lagrange multipliers and adiabatic limits

JOURNAL OF DIFFERENTIAL EQUATIONS, 257(12), 4277–4318.

GASLESS COMBUSTION FRONTS WITH HEAT LOSS

SIAM JOURNAL ON APPLIED MATHEMATICS, 73(3), 1303–1326.

Stability of Traveling Waves in Partly Parabolic Systems

MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 8(5), 31–47.

DAFERMOS REGULARIZATION OF A DIFFUSIVE-DISPERSIVE EQUATION WITH CUBIC FLUX

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 32(12), 4069–4110.

Heteroclinic Orbits in Slow-Fast Hamiltonian Systems with Slow Manifold Bifurcations

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 22(4), 629–655.

STABILITY OF TRAVELING WAVES FOR A CLASS OF REACTION-DIFFUSION SYSTEMS THAT ARISE IN CHEMICAL REACTION MODELS

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 42(6), 2434–2472.

Stability of Gasless Combustion Fronts in One-Dimensional Solids

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 198(3), 981–1030.

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), 822–853.

Travelling waves for a thin liquid film with surfactant on an inclined plane

NONLINEARITY, 22(1), 85–122.

Exchange lemmas 1: Deng's lemma

JOURNAL OF DIFFERENTIAL EQUATIONS, 245(2), 392–410.

Exchange lemmas 2: General Exchange Lemma

JOURNAL OF DIFFERENTIAL EQUATIONS, 245(2), 411–441.

Combustion fronts in a porous medium with two layers

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 18(3), 615–665.

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), 53–101.

Computation of Riemann solutions using the Dafermos regularization and continuation

Discrete and Continuous Dynamical Systems, 10(4), 965–986.

Existence of Dafermos profiles for singular shocks

Journal of Differential Equations, 205(1), 185–210.

Oxidation heat pulses in two-phase expansive flow in porous media

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 54(1), 48–83.

Stability of self-similar solutions of the Dafermos regularization of a system of conservation laws

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 35(4), 884–921.

Traveling-wave solutions of convection-diffusion systems by center manifold reduction

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 49(1), 35–59.

Undercompressive shock waves and the Dafermos regularization

NONLINEARITY, 15(4), 1361–1377.

Geometric singular perturbation analysis of oxidation heat pulses for two-phase flow in porous media

BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA, 32(3), 237–270.

Codimension-one Riemann solutions: Classical missing rarefaction cases

JOURNAL OF DIFFERENTIAL EQUATIONS, 157(2), 247–318.

An organizing center for wave bifurcation in multiphase flow models

SIAM Journal on Applied Mathematics, 57(5), 1189–1215.