Dept of Mathematics and Statistics
Email: Benjamin Akers
PhD in Mathematics, University of Wisconsin-Madison, 2008
MA in Mathematics, University of Wisconsin-Madison, 2005
BS in Mathematics, Pennsylvania State University, 2003
Nonlinear wave models in boundary value problems; traveling and solitary waves; the existence and stability of, as well as numerical methods for, coherent structures in nonlinear wave equations. Perturbation methods for eigenvalue problems.
FLUID DYNAMICS
NONLINEAR WAVES
APPLIED MATHEMATICS
NUMERICAL ANALYSIS
1) B. Akers, D.M. Ambrose and J.D. Wright, Traveling waves from the arclength parameterization: Vortex sheets with surface tension, Accepted to Interfaces and Free Boundaries.
2) B. Akers and D.P. Nicholls, Spectral Stability of Deep Two-dimensional Gravity-Capillary Water Waves, Stud. Appl. Math. 130(2), 81-107, (2013)
3) B. Akers and D.P. Nicholls, Spectral Stability of Deep Two-dimensional Gravity Water Waves : Repeated Eigenvalues, SIAM J. Appl. Math., 72(2), 689-711, (2012)
4) B. Akers, Surfactant influence on water wave packets, Stud. Appl. Math. 129(1), 91-102, (2012)
5) B. Akers and Wenxuan Gao, Wilton ripples in weakly nonlinear model equations, Commun. Math. Sci., 10(3), 1015-1024, (2012)
6) B. Akers, The generation of capillary-gravity solitary waves by a surface pressure forcing, Math. Comp. Sim., 82 958-967, (2012)
7) B. Akers and P.A. Milewski, Dynamics of three-dimensional gravity-capillary solitary waves in deep water, SIAM J. Appl. Math. 70(7), 2390-2408, (2010)
8) B. Akers and D.P. Nicholls, Traveling waves with gravity and surface tension, SIAM J. Appl. Math. 70(7), 2373-2389 (2010)
9) B. Akers and P.A. Milewski, A model equation for wavepacket solitary waves arising from capillary-gravity flows, Stud. Appl. Math., 122, 249-274, (2009)
10) B. Akers and P.A. Milewksi, A stability result for solitary waves in nonlinear dispersive equations, Comm. Math. Sci., 6, 791-797, (2008)
11) B. Akers and P.A. Milewski, Model Equations for gravity-capillary waves in deep water, Stud. Appl. Math., 121, 49-69, (2008)
12) B. Akers and O. Bokhove, Hydraulic flow through a channel contraction: multiple steady states. Phys. Fluids., 20, 056601, (2008)
13) B. Akers and A. Belmonte, Impact dynamics of a solid sphere falling into a viscoelastic micellar fluid, J. Non-Newt. Fluid Mech., 135, 97-108, (2006)
14) B. Akers, Shallow water flow through a channel contraction: multiple steady states, Proceedings of the GFD Program, Woods Hole Oceanographic Institution, 97-117, (2005)
15) B. Akers, S. Bohun, P. Gibson, A. Hofinger, M. Lamoureux, J. Lobb, B. Mawby and M. Roberts. General statistical design of an experimental problem for harmonics. Can. Appl. Math. Q., 12(4), 415--437 (2004)