Preface ....................................................... vii
Vibrations of a damageable string
K.T. Andrews, S. Anderson, R.S.R. Menike, M. Shillor, R.
Swaminathan, and J. Yuzwalk .................................. 1
The coupled PDE system arising in fluid/structure interaction.
Part I: Explicit semigroup generator and its spectral
properties
G. Avalos and R. Triggiani .................................. 15
Existence of the energy-level weak solutions for a nonlinear
fluid-structure interaction model
Viorel Barbu, Zoran Grujic, Irena Lasiecka, and Amjad
Tuffaha ..................................................... 55
Gevrey regularity of solutions to the 3D Navier-Stokes
equations
Animikh Biswas and David Swanson ............................ 83
Stimulus-induced bumps in two-dimensional neural field
theory
Paul C. Bressloff ........................................... 91
Wave problems in unbounded domains: Fredholmness and the
finite section method
Simon N. Chandler-Wilde and Marko Lindner .................. 115
Exotic dynamics in a firing rate model of neural tissue
with threshold accommodation
S. Coombes and M.R. Owen ................................... 123
Embedded models of self-assembly of DNA complexes
Max H. Garzon, Derrel R. Blain, and Michael West ........... 145
A parameter property of integrodifferential equations with
memory
Min He ..................................................... 159
Stochastic models with negative friction for intermittent
rolling of biological mimetics
JoDe М. Lavine, Eugene C. Eckstein, and Jerome
A. Goldstein ............................................... 171
Multi-parameter oscillatory connection functions in neural
field models
J. Angela Hart Murdock ..................................... 177
Front speeds, cut-offs, and desingularization: A brief case
study
Nikola Popovic ............................................. 187
Neural networks can learn to approximate autonomous flows
Jose M. Rodriguez and Max H. Garzon ........................ 197
Rogue waves, non-Gaussian statistics and proximity to
homoclinic data
Constance M. Schober ....................................... 207
Nonlinear stochastic wave equations in  with power-law
nonlinearity and additive space-time noise
Henri Schurz ............................................... 223
The method of Lyapunov functions of two variables
Juan Tolosa ................................................ 243
Analysis of map formation in visual perception
Junmei Zhu ................................................. 273
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