Traveling Waves in a Thin Film with Surfactant (International Conference on Dynamics in Perturbations on the Occasion of Freddy Dumortier's 60th Birthday, University of Hasselt, Belgium, April 23 - 27, 2007)
Stability of Patterns (10th Workshop on Partial Differential Equations, IMPA, Rio de Janeiro, August 7, 2007)
Exchange Lemmas (IMA New Directions Short Course: Invariant Objects in Dynamical Systems and their Applications, Minneapolis, June 20 - July 1, 2011)
Loss of Normal Hyperbolicity (IMA New Directions Short Course: Invariant Objects in Dynamical Systems and their Applications, Minneapolis, June 20 - July 1, 2011)
Structurally Stable Riemann Solutions
(with B. Plohr and D. Marchesin, J. Differential Eqs. 126 (1996), 303-354)
(pdf file)
An Organizing Center for Wave Bifurcation in Multiphase Flow
Models (with B. Plohr and D. Marchesin, SIAM J. Appl. Math. 57 (1997),
1189-1215) (pdf file)
Codimension-One Riemann Solutions: Missing
Rarefactions in Transitional Wave Groups (Advances in Differential Equations 5 (2000), 929-975)
doi: 10.1023/A:1015126703505(pdf file)
Classification of Codimension-One Riemann Solutions
(with B. Plohr and D. Marchesin, J. Dynam. Differential Equations 13 (2001), 523-588)
doi: 10.1023/A:1016634307145(pdf file)
Traveling-Wave Solutions of Convection-Diffusion
Equations by Center Manifold Reduction (Nonlinear Analysis: Theory, Methods & Applications 49 (2002), 35-59)
doi: 10.1016/S0362-546X(01)00097-9(pdf file)
Geometric Singular Perturbation Analysis of Oxidation Heat Pulses for Two-Phase Flow in Porous Media (with D. Marchesin, Bulletin of the Brazilian Mathematical Society 32 (2002), 237-270)
doi: 10.1007/BF01233667(ps file)
Oxidation Heat Pulses in Two-Phase Expansive Flow in Porous Media (with D. Marchesin, ZAMP 54 (2003), 48 - 83)
doi: 10.1007/PL00012634(pdf file)
Steam Condensation Waves in Water-Saturated Porous Rock (with J. Bruining and D. Marchesin, Qual. Theory Dyn. Syst. 4 (2003), 205 - 231)
doi: 10.1007/BF02970859(pdf file)
Stability of Self-Similar Solutions of the Dafermos Regularization of a System of Conservation Laws (with X.-B. Lin, SIAM J. Math. Anal. 35 (2003), 884-921)
doi: 10.1137/S0036141002405029(pdf file)
Computation of Riemann Solutions Using the Dafermos Regularization and Continuation (with B. Plohr and D. Marchesin, Discrete Contin. Dyn. Syst. 10 (2004), 965-986)
doi: 10.3934/dcds.2004.10.965(pdf file)
Composite Waves in the Dafermos Regularization (with P. Szmolyan, J. Dynam. Differential Equations 16 (2004), 847 - 867) doi: 10.1007/s10884-004-6698-2(pdf file)
Eigenvalues of Self-Similar Solutions of the Dafermos Regularization of a System of Conservation Laws via Geometric Singular Perturbation Theory (J. Dynam. Differential Equations 18 (2006), 53 - 101) doi: 10.1007/s10884-005-9000-3(pdf file)
Combustion Fronts in a Porous Medium with Two Layers (with J. C. da Mota, J. Dynam. Differential Equations 18 (2006), 615 - 665) doi: 10.1007/s10884-006-9019-0(pdf file)
Persistence of Rarefactions under Dafermos Regularization: Blow-up and an Exchange Lemma for Gain-of-Stability Turning Points (with Peter Szmolyan, SIAM J. Appl. Dyn. Syst. 8 (2009), 822 -853) doi: 10.1137/080715305(pdf file)
Traveling Waves for a Thin Liquid Film with Surfactant on an Inclined Plane (with Vahagn Manukian, Nonlinearity 22 (2009), 85-122) doi: 10.1088/0951-7715/22/1/006(pdf file)
Stability of Gasless Combustion Fronts in One-dimensional
Solids (with Anna Ghazaryan, Yuri Latushkin, and Aparecido J. de Souza, Arch. Ration. Mech. Anal. 198 (2010), 981 - 1030) doi: 10.1007/s00205-010-0358-y(pdf file)
Heteroclinic Orbits in Slow-Fast Hamiltonian Systems with Slow
Manifold Bifurcations (with Christos Sourdis, J. Dynam. Differential Equations 22 (2010), 629 - 655) doi: 10.1007/s10884-010-9171-4(pdf file)
Stability of Traveling Waves for Degenerate Systems of Reaction-Diffusion Equations (with Anna Ghazaryan and Yuri Latushkin, Indiana Univ. Math. J. 60 (2011), 443 - 472) doi: 10.1512/iumj.2011.60.4069(pdf file)
Stability of Traveling Waves for a Class of Reaction-Diffusion Systems
that Arise in Chemical Reaction Models (with Anna Ghazaryan and Yuri Latushkin, SIAM J. Math. Anal. 42 (2010), 2434 - 2472) doi: 10.1137/100786204(pdf file)
Dafermos Regularization of a Diffusive-Dispersive Equation with Cubic Flux (with Monique Richardson Taylor, Discrete Contin. Dyn. Syst. A 32 (2012), 4069 - 4110) doi: 10.3934/dcds.2012.32.4069(pdf file)
How the Talmud Divides an Estate Among Creditors, expository article in Bridging Mathematics, Statistics, Engineering and Technology: Contributions from the Seminar on Mathematical Sciences and Applications, Springer, 2012 doi: 10.1007/978-1-4614-4559-3(pdf file)
Gasless Combustion Fronts with Heat Loss (with Anna Ghazaryan and Peter L. Simon, SIAM J. Appl. Math. 73 (2013), 1303 - 1326) doi: 10.1137/110854540(pdf file)
Stability of Traveling Waves in Partly Parabolic Systems (review article with Anna Ghazaryan and Yuri Latushkin, Math. Model. Nat. Phenom. 8 (2013), 31 - 47) doi: 10.1051/mmnp/20138503(pdf file)
Combustion Waves and Riemann Solutions in Light Porous Foam (with Grigori Chapiro and Dan Marchesin, J. Hyperbolic Differ. Equ. 11 (2014), 295 - 328) doi: 10.1142/S021989161450009X(pdf file)
Morse Theory for Lagrange Multipliers and Adiabatic Limits (with Guangbo Xu, J. Differential Eqs. 257 (2014), 4277 - 4318) doi: 10.1016/j.jde.2014.08.018(pdf file)
Traveling Waves in the Holling-Tanner Model with Weak Diffusion (with Anna Ghazaryan and Vahagn Manukian, Proc. Roy. Soc. London Ser. A 471 (2015): 20150045) doi: 10.1098/rspa.2015.0045(pdf file)
The Entry-Exit Function and Geometric Singular Perturbation Theory (with Peter De Maesschalck, J. Differential Eqs. 260 (2016), 6697 - 6715) doi: 10.1016/j.jde.2016.01.008(pdf file)
Traveling Waves in a Simplified Gas-Solid Combustion Model in Porous Media (with F. Ozbag and G. Chapiro, Adv. Differential Equations 23 (2018), 409 - 454) (pdf file)
Stability of Combustion Waves in a Simplified Gas-Solid Combustion
Model in Porous Media (with F. Ozbag, Philos. Trans. Roy. Soc. A 376 (2018), no. 2117, 20170185, 19 pp.) doi: 10.1098/rsta.2017.0185(pdf file)
More Traveling Waves in the Holling-Tanner Model with Weak Diffusion (with Vahagn Manukian, Discrete Contin. Dyn. Syst. B 27 (2021), 4875 - 4890) doi: 10.3934/dcdsb.2021256(pdf file)
Geometric Singular Perturbation Theory Analysis of an Epidemic Model with Spontaneous Human Behavioral Change (J. Math. Biol. 82 (2021)) doi: 10.1007/s00285-021-01605-2(pdf file)