Stephen Schecter

Works (30)

Updated: July 7th, 2023 21:17

2021 journal article

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

JOURNAL OF MATHEMATICAL BIOLOGY, 82(6).

By: S. Schecter n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Epidemiological modeling; Entry-exit function; Geometric singular perturbation theory; Imitation dynamics; Evolutionary game theory
MeSH headings : Behavior; Biological Evolution; Epidemics; Game Theory; Humans; Models, Biological
Source: Web Of Science
Added: May 24, 2021

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.

By: V. Manukian* & S. Schecter n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Geometric singular perturbation theory; traveling wave; compactifica-tion; prey-predator model; diffusive Holling-Tanner model; blow-up
Source: Web Of Science
Added: November 23, 2021

2018 journal article

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

By: F. Ozbagโ€‰* & S. Schecter n

co-author countries: Tรผrkiye ๐Ÿ‡น๐Ÿ‡ท United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: travelling wave; stability; combustion waves; porous media
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Stability of Concatenated Traveling Waves

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

By: X. Lin n & S. Schecter n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Interaction of waves; Reaction-diffusion equation; Spatial dynamics; Laplace transform; Exponential dichotomy in trace space
Source: Web Of Science
Added: August 6, 2018

2016 journal article

The entry-exit function and geometric singular perturbation theory

JOURNAL OF DIFFERENTIAL EQUATIONS, 260(8), 6697โ€“6715.

By: P. De Maesschalckโ€‰* & S. Schecter n

co-author countries: Belgium ๐Ÿ‡ง๐Ÿ‡ช United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Entry-exit function; Geometric singular perturbation theory; Bifurcation delay; Blow-up; Turning point
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Stability of concatenated traveling waves: Alternate approaches

JOURNAL OF DIFFERENTIAL EQUATIONS, 259(7), 3144โ€“3177.

By: X. Lin n & S. Schecter n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Traveling wave; Stability; Spatial dynamics; Laplace transform; Exponential dichotomy
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Travelling waves in the Holling-Tanner model with weak diffusion

By: A. Ghazaryan*, V. Manukian* & S. Schecter n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: geometric singular perturbation theory; travelling front; periodic wave train; predator-prey model; diffusive Holling-Tanner model; entry-exit function
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Combustion waves and Riemann solutions in light porous foam

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 11(2), 295โ€“328.

co-author countries: Brazil ๐Ÿ‡ง๐Ÿ‡ท Netherlands ๐Ÿ‡ณ๐Ÿ‡ฑ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Traveling wave; Riemann problem; filtration combustion; combustion in porous media; ignition; extinction
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Morse theory for Lagrange multipliers and adiabatic limits

JOURNAL OF DIFFERENTIAL EQUATIONS, 257(12), 4277โ€“4318.

By: S. Schecter n & G. Xu*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Morse homology; Geometric singular perturbation theory; Exchange lemma; Adiabatic limit
Source: Web Of Science
Added: August 6, 2018

2013 journal article

GASLESS COMBUSTION FRONTS WITH HEAT LOSS

SIAM JOURNAL ON APPLIED MATHEMATICS, 73(3), 1303โ€“1326.

By: A. Ghazaryan, S. Schecter* & P. Simon

author keywords: geometric singular perturbation theory; traveling wave; Evans function; stability
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Stability of Traveling Waves in Partly Parabolic Systems

MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 8(5), 31โ€“47.

By: A. Ghazaryan*, Y. Latushkin* & S. Schecter n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: traveling wave; spectral stability; linear stability; nonlinear stability; exponential weights
Source: Web Of Science
Added: August 6, 2018

2012 journal article

DAFERMOS REGULARIZATION OF A DIFFUSIVE-DISPERSIVE EQUATION WITH CUBIC FLUX

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 32(12), 4069โ€“4110.

By: S. Schecter* & M. Taylor

author keywords: Riemann solution; undercompressive shock wave; geometric singular perturbation theory; exponential dichotomy
Source: Web Of Science
Added: August 6, 2018

2010 journal article

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

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 22(4), 629โ€“655.

By: S. Schecter n & C. Sourdis*

co-author countries: Chile ๐Ÿ‡จ๐Ÿ‡ฑ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Geometric singular perturbation theory; Blow-up; Pitchfork bifurcation; Transcritical bifurcation
Source: Web Of Science
Added: August 6, 2018

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), 2434โ€“2472.

By: A. Ghazaryan, Y. Latushkin & S. Schecter*

author keywords: traveling wave; nonlinear stability; reaction-diffusion system; degenerate diffusion matrix; weighted norm; combustion
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Stability of Gasless Combustion Fronts in One-Dimensional Solids

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 198(3), 981โ€“1030.

By: A. Ghazaryan*, Y. Latushkin*, S. Schecter n & A. Souza*

co-author countries: Brazil ๐Ÿ‡ง๐Ÿ‡ท United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Web Of Science
Added: August 6, 2018

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), 822โ€“853.

By: S. Schecter* & P. Szmolyan*

co-author countries: Austria ๐Ÿ‡ฆ๐Ÿ‡น
author keywords: conservation laws; Riemann problem; geometric singular perturbation theory; loss of normal hyperbolicity; blow-up
Source: Web Of Science
Added: August 6, 2018

2009 journal article

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

NONLINEARITY, 22(1), 85โ€“122.

By: V. Manukian* & S. Schecter*

Source: Web Of Science
Added: August 6, 2018

2008 journal article

Exchange lemmas 1: Deng's lemma

JOURNAL OF DIFFERENTIAL EQUATIONS, 245(2), 392โ€“410.

By: S. Schecter n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: geometric singular perturbation theory; normally hyperbolic invariant manifold
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Exchange lemmas 2: General Exchange Lemma

JOURNAL OF DIFFERENTIAL EQUATIONS, 245(2), 411โ€“441.

By: S. Schecter n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: geometric singular perturbation theory; normally hyperbolic invariant manifold
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Combustion fronts in a porous medium with two layers

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 18(3), 615โ€“665.

By: J. Da Motaโ€‰* & S. Schecter n

co-author countries: Brazil ๐Ÿ‡ง๐Ÿ‡ท United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: reaction-diffusion-convection system; traveling wave; nonhyperbolic equilibrium; geometric singular perturbation theory; Melnikov integral
Source: Web Of Science
Added: August 6, 2018

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), 53โ€“101.

By: S. Schecter n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: conservation law; Dafermos regularization; eigenfunction; eigenvalue; geometric singular perturbation theory; Riemann problem; stability
Source: Web Of Science
Added: August 6, 2018

2004 journal article

Computation of Riemann solutions using the Dafermos regularization and continuation

Discrete and Continuous Dynamical Systems, 10(4), 965โ€“986.

By: S. Schecter*, B. Plohr & D. Marchesin

Source: NC State University Libraries
Added: August 6, 2018

2004 journal article

Existence of Dafermos profiles for singular shocks

Journal of Differential Equations, 205(1), 185โ€“210.

By: S. Schecter

Source: NC State University Libraries
Added: August 6, 2018

2003 journal article

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

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 54(1), 48โ€“83.

By: D. Marchesin & S. Schecter*

author keywords: combustion; porous media; multiphase flow; conservation laws
Source: Web Of Science
Added: August 6, 2018

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), 884โ€“921.

By: X. Lin* & S. Schecter*

author keywords: conservation law; Riemann problem; Dafermos regularization; stability; spectrum; singular perturbation
Source: Web Of Science
Added: August 6, 2018

2002 journal article

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

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 49(1), 35โ€“59.

By: S. Schecter n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: convection-diffusion systems; nonconservation form; traveling waves; shock waves; center manifold reduction
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Undercompressive shock waves and the Dafermos regularization

NONLINEARITY, 15(4), 1361โ€“1377.

By: S. Schecter n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Web Of Science
Added: August 6, 2018

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), 237โ€“270.

By: S. Schecter n & D. Marchesin

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: combustion; porous medium; multiphase flow; conservation laws
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Codimension-one Riemann solutions: Classical missing rarefaction cases

JOURNAL OF DIFFERENTIAL EQUATIONS, 157(2), 247โ€“318.

By: S. Schecter n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: conservation law; Riemann problem; viscous profile
Source: Web Of Science
Added: August 6, 2018

1997 journal article

An organizing center for wave bifurcation in multiphase flow models

SIAM Journal on Applied Mathematics, 57(5), 1189โ€“1215.

By: D. Marchesin, B. Plohr & S. Schecter*

Source: NC State University Libraries
Added: August 6, 2018