Stephen Schecter

Schecter, S. (2021). Geometric singular perturbation theory analysis of an epidemic model with spontaneous human behavioral change. JOURNAL OF MATHEMATICAL BIOLOGY, 82(6). https://doi.org/10.1007/s00285-021-01605-2

Manukian, V., & Schecter, S. (2021, October). MORE TRAVELING WAVES IN THE HOLLING-TANNER MODEL WITH WEAK DIFFUSION. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B. https://doi.org/10.3934/dcdsb.2021256

Ozbag, F., & Schecter, S. (2018). Stability of combustion waves in a simplified gas-solid combustion model in porous media. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 376(2117). https://doi.org/10.1098/rsta.2017.0185

Lin, X.-B., & Schecter, S. (2016). Stability of Concatenated Traveling Waves. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 28(3-4), 867–896. https://doi.org/10.1007/s10884-015-9428-z

De Maesschalck, P., & Schecter, S. (2016). The entry-exit function and geometric singular perturbation theory. JOURNAL OF DIFFERENTIAL EQUATIONS, 260(8), 6697–6715. https://doi.org/10.1016/j.jde.2016.01.008

Lin, X.-B., & Schecter, S. (2015). Stability of concatenated traveling waves: Alternate approaches. JOURNAL OF DIFFERENTIAL EQUATIONS, 259(7), 3144–3177. https://doi.org/10.1016/j.jde.2015.04.015

Ghazaryan, A., Manukian, V., & Schecter, S. (2015). Travelling waves in the Holling-Tanner model with weak diffusion. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 471(2177). https://doi.org/10.1098/rspa.2015.0045

Chapiro, G., Marchesin, D., & Schecter, S. (2014). Combustion waves and Riemann solutions in light porous foam. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 11(2), 295–328. https://doi.org/10.1142/s021989161450009x

Schecter, S., & Xu, G. (2014). Morse theory for Lagrange multipliers and adiabatic limits. JOURNAL OF DIFFERENTIAL EQUATIONS, 257(12), 4277–4318. https://doi.org/10.1016/j.jde.2014.08.018

Ghazaryan, A., Schecter, S., & Simon, P. L. (2013). GASLESS COMBUSTION FRONTS WITH HEAT LOSS. SIAM JOURNAL ON APPLIED MATHEMATICS, 73(3), 1303–1326. https://doi.org/10.1137/110854540

Ghazaryan, A., Latushkin, Y., & Schecter, S. (2013). Stability of Traveling Waves in Partly Parabolic Systems. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 8(5), 31–47. https://doi.org/10.1051/mmnp/20138503

Schecter, S., & Taylor, M. R. (2012). DAFERMOS REGULARIZATION OF A DIFFUSIVE-DISPERSIVE EQUATION WITH CUBIC FLUX. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 32(12), 4069–4110. https://doi.org/10.3934/dcds.2012.32.4069

Schecter, S., & Sourdis, C. (2010). Heteroclinic Orbits in Slow-Fast Hamiltonian Systems with Slow Manifold Bifurcations. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 22(4), 629–655. https://doi.org/10.1007/s10884-010-9171-4

Ghazaryan, A., Latushkin, Y., & Schecter, S. (2010). 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. https://doi.org/10.1137/100786204

Ghazaryan, A., Latushkin, Y., Schecter, S., & Souza, A. J. (2010). Stability of Gasless Combustion Fronts in One-Dimensional Solids. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 198(3), 981–1030. https://doi.org/10.1007/s00205-010-0358-y

Schecter, S., & Szmolyan, P. (2009). 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. https://doi.org/10.1137/080715305

Manukian, V., & Schecter, S. (2009). Travelling waves for a thin liquid film with surfactant on an inclined plane. NONLINEARITY, 22(1), 85–122. https://doi.org/10.1088/0951-7715/22/1/006

Schecter, S. (2008). Exchange lemmas 1: Deng's lemma. JOURNAL OF DIFFERENTIAL EQUATIONS, 245(2), 392–410. https://doi.org/10.1016/j.jde.2007.08.011

Schecter, S. (2008). Exchange lemmas 2: General Exchange Lemma. JOURNAL OF DIFFERENTIAL EQUATIONS, 245(2), 411–441. https://doi.org/10.1016/j.jde.2007.10.021

Da Mota, J. C., & Schecter, S. (2006). Combustion fronts in a porous medium with two layers. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 18(3), 615–665. https://doi.org/10.1007/s10884-006-9019-0

Schecter, S. (2006). 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. https://doi.org/10.1007/s10884-005-9000-3

Schecter, S., Plohr, B. J., & Marchesin, D. (2004). Computation of Riemann solutions using the Dafermos regularization and continuation. Discrete and Continuous Dynamical Systems, 10(4), 965–986. https://doi.org/10.3934/dcds.2004.10.965

Schecter, S. (2004). Existence of Dafermos profiles for singular shocks. Journal of Differential Equations, 205(1), 185–210. https://doi.org/10.1016/j.ide.2004.06.013

Marchesin, D., & Schecter, S. (2003). Oxidation heat pulses in two-phase expansive flow in porous media. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 54(1), 48–83. https://doi.org/10.1007/pl00012634

Lin, X. B., & Schecter, S. (2003). Stability of self-similar solutions of the Dafermos regularization of a system of conservation laws. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 35(4), 884–921. https://doi.org/10.1137/S0036141002405029

Schecter, S. (2002). Traveling-wave solutions of convection-diffusion systems by center manifold reduction. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 49(1), 35–59. https://doi.org/10.1016/s0362-546x(01)00097-9

Schecter, S. (2002). Undercompressive shock waves and the Dafermos regularization. NONLINEARITY, 15(4), 1361–1377. https://doi.org/10.1088/0951-7715/15/4/318

Schecter, S., & Marchesin, D. (2001). 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. https://doi.org/10.1007/bf01233667

Schecter, S. (1999). Codimension-one Riemann solutions: Classical missing rarefaction cases. JOURNAL OF DIFFERENTIAL EQUATIONS, 157(2), 247–318. https://doi.org/10.1006/jdeq.1998.3590

Marchesin, D., Plohr, B. J., & Schecter, S. (1997). An organizing center for wave bifurcation in multiphase flow models. SIAM Journal on Applied Mathematics, 57(5), 1189–1215. https://doi.org/10.1137/s0036139995280683