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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).

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*.

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

*Philosophical Transactions. Mathematical, Physical, and Engineering Sciences.*, *376*(2117), 409–454.

Source: NC State University Libraries

Added: August 6, 2018

2016 journal article

Stability of concatenated traveling waves

*Journal of Dynamics and Differential Equations*, *28*(3-4), 867–896.

Source: NC State University Libraries

Added: August 6, 2018

2016 journal article

The entry-exit function and geometric singular perturbation theory

*Journal of Differential Equations*, *260*(8), 6697–6715.

Source: NC State University Libraries

Added: August 6, 2018

2015 journal article

Stability of concatenated traveling waves: Alternate approaches

*Journal of Differential Equations*, *259*(7), 3144–3177.

Source: NC State University Libraries

Added: August 6, 2018

2015 journal article

Travelling waves in the holling-tanner model with weak diffusion

Source: NC State University Libraries

Added: August 6, 2018

2014 journal article

Combustion waves and Riemann solutions in light porous foam

*Journal of Hyperbolic Differential Equations*, *11*(2), 295–328.

Source: NC State University Libraries

Added: August 6, 2018

2014 journal article

Morse theory for Lagrange multipliers and adiabatic limits

*Journal of Differential Equations*, *257*(12), 4277–4318.

Source: NC State University Libraries

Added: August 6, 2018

2013 journal article

Gasless combustion fronts with heat loss

*SIAM Journal on Applied Mathematics*, *73*(3), 1303–1326.

Source: NC State University Libraries

Added: August 6, 2018

2013 journal article

Stability of traveling waves in partly parabolic systems

*Mathematical Modelling of Natural Phenomena*, *8*(5), 31–47.

Source: NC State University Libraries

Added: August 6, 2018

2012 journal article

Dafermos regularization of a diffusive-dispersive equation with cubic flux

*Discrete and Continuous Dynamical Systems*, *32*(12), 4069–4110.

Source: NC State University Libraries

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), 629–655.

Source: NC State University Libraries

Added: August 6, 2018

2010 journal article

Stability of gasless combustion fronts in one-dimensional solids

*Archive for Rational Mechanics and Analysis*, *198*(3), 981–1030.

Source: NC State University Libraries

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), 2434–2472.

Source: NC State University Libraries

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), 822–853.

Source: NC State University Libraries

Added: August 6, 2018

2009 journal article

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

*Nonlinearity*, *22*(1), 85–122.

Source: NC State University Libraries

Added: August 6, 2018

2008 journal article

Exchange lemmas 1: Deng's lemma

*Journal of Differential Equations*, *245*(2), 392–410.

Source: NC State University Libraries

Added: August 6, 2018

2008 journal article

Exchange lemmas 2: General Exchange Lemma

*Journal of Differential Equations*, *245*(2), 411–441.

Source: NC State University Libraries

Added: August 6, 2018

2006 journal article

Combustion fronts in a porous medium with two layers

*Journal of Dynamics and Differential Equations*, *18*(3), 615–665.

Source: NC State University Libraries

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), 53–101.

Source: NC State University Libraries

Added: August 6, 2018

2004 journal article

Computation of Riemann solutions using the Dafermos regularization and continuation

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

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), 185–210.

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: ZAMP*, *54*(1), 48–83.

Source: NC State University Libraries

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), 884–921.

Source: NC State University Libraries

Added: August 6, 2018

2002 journal article

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

*Nonlinear Analysis*, *49*(1), 35–59.

Source: NC State University Libraries

Added: August 6, 2018

2002 journal article

Undercompressive shock waves and the Dafermos regularization

*Nonlinearity*, *15*(4), 1361–1377.

Source: NC State University Libraries

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), 237–270.

Source: NC State University Libraries

Added: August 6, 2018

1999 journal article

Codimension-one Riemann solutions: Classical missing rarefaction cases

*Journal of Differential Equations*, *157*(2), 247–318.

Source: NC State University Libraries

Added: August 6, 2018

1997 journal article

An organizing center for wave bifurcation in multiphase flow models

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

Source: NC State University Libraries

Added: August 6, 2018