phone: (513) 785 3220
Ph.D. Ohio State University (2005)
M.A. SUNY at Buffalo (1998)
Applied dynamical systems
Homoclinic, heteroclinc and limit cycle bifurcations
Existence and stability of nonlinear waves
Partial and ordinary differential equations
On the traveling waves of Gray-Scott model. (2012)
N. Costanzino, V. Manukian, C.K.R.T Jones, Solitary waves of the regularized short pulse and Ostrovsky equations. SIAM J. Math. Anal. 41 (2009) 2088-2106.
V. Manukian, N. Costanzino, C.K.R.T Jones, B. Sandstede, Existence of multi-pulses of the regularized short-pulse and Ostrovsky equations. J. Dyn. Diff. Equat. 21 (2009) 607-622.
V. Manukian, B. Sandstede, Multi-hump pulses in systems with reflection and phase invariance. J. Differential Equations 247 (2009) 1866-1898.
V. Manukian, S. Schecter, Traveling waves for a thin liquid film with surfactant on an inclined plane. Nonlinearity 22 (2009) 85-122.
Existence and stability of multi-pulses with applications to nonlinear optics. PhD thesis