J. Douglas Wright
Associate Professor/Associate Department Head
Department of Mathematics
A. Hoffman & J. Wright. "Nanopteron solutions of diatomic Fermi-Pasta-Ulam-Tsingou lattices
with small mass-ratio"
Accepted by Physica D in 2017.[arXiv]
T. Faver & J. Wright. "Exact diatomic Fermi-Pasta-Ulam-Tsingou
solitary waves with optical band ripples at infinity"
Accepted (subject to revisions) by SIAM Journal on Mathematical Analysis in 2016.
G. Medvedev & J. Wright. "Stability of twisted states in the continuum
SIAM Journal of Applied Dynamical Systems, v. 1, 188-203 (2017).
D. Ambrose & J. Wright. "Nonexistence of small doubly periodic
solutions for dispersive equations"
Analysis & PDE, v. 9, 15-42 (2016).
B. Akers, D. Ambrose, K. Pond, & J. Wright. "Overturned internal
Eur. J. Mech. B Fluids, v. 57, 143-151 (2016).
A. Vainchtein, Y. Starosvetsky, J. Wright & R. Perline. "Solitary
waves in diatomic chains"
Physical Review E, v. 93, 042210 (2016).
D. Ambrose, W. Strauss & J. Wright. "Global bifurcation theory for
periodic traveling interfacial gravity-capillary waves"
Ann. Inst. H. Poincare Anal. Non Lineaire, v. 33, 1081-1101 (2016).
- D. Ambrose & J. Wright. "Non-existence of
small-amplitude doubly periodic waves for dispersive equations"
C. R. Math. Acad. Sci. Paris, v. 352, 597-602 (2014).
- J. Gaison, S. Moskow, J. Wright and Q. Zhang. "Approximation of polyatomic FPU lattices by KdV equations"
Multiscale Modeling & Simulation, v. 12, no. 3, 953-995
B. Akers, D. Ambrose & J. Wright. "Gravity perturbed Crapper waves"
Proceedings of the Royal Society A, v. 470, no. 2161, 20130526 (2014).
- R. Hicks, S. Rody & J. Wright. "Bundle separation, obstructions to perfect imaging and other qualitative aspects of simultaneous multiple surface design"
Optical Engineering, v. 53, no. 3, 031309 (2013).
- B. Akers, D. Ambrose & J. Wright. "Traveling waves from the arclength parameterization: vortex sheets with surface tension"
Interfaces and Free Boundaries, v. 15, no. 3, 359-380 (2013).
- D. Ambrose & J. Wright. "Dispersion vs. anti-diffusion: well-posedness
in variable coefficient and quasilinear equations of KdV-type"
Indiana University Mathematics Journal, v. 62, no. 4, 1237-1281 (2013).
D. Ambrose & J. Wright.
"Traveling waves and weak solutions for an equation with degenerate dispersion"
Proceedings of the American Mathematical Society, v. 141, 3825-3838 (2013).
R. Chen, J. Marzuola, D. Spirn & J. Wright.
"On the regularity of the flow map for the gravity-capillary equations"
Journal of Functional Analysis, v. 264, 752-782 (2013).
J. Wright. "On the spectrum of the superposition of separated potentials"
DCDS-B, v. 18, no.1, 273-281 (2013).
D. Ambrose, G. Simpson, J. Wright & D. Yang. "Ill-posedness of degenerate dispersive equations"
Nonlinearity, v. 25, 2655-2689 (2012).
- D. Spirn & J. Wright.
"Linear dispersive decay estimates
for the 3+1 dimensional water wave equation with surface
Canadian Mathematical Bulletin, v. 55, no. 1, 176-187 (2012).
A. Hoffman & J. Wright. "Exit manifolds for lattice differential equations"
Proceedings of the Royal Society Edinburgh: Section A, v. 140, no. 1,
D. Ambrose & J. Wright.
"Preservation of support and positivity for solutions of
degenerate evolution equations"
Nonlinearity, v. 23, 607-620 (2010).
"Interactions manifolds for reaction-diffusion equations in two dimensions"
SIAM Journal of Applied Dynamical Systems. v. 9, 734-768 (2010).
J. Wright. "Separating dissipative pulses---the exit manifold"
Journal of Dynamics and Differential Equations, v. 21, no. 2, 315-328 (2009).
D. Spirn & J. Wright.
"Linear dispersive decay estimates for vortex sheets with surface tension"
Communications in Mathematical Sciences, v. 7, no. 3, 521-547 (2009).
A. Scheel & J. Wright.
"Colliding dissipative pulses---the shooting manifold"
Journal of Differential Equations, v. 245, no. 1, 59-79 (2008).
J. Wright & A. Scheel.
"Solitary waves and their linear stability in weakly coupled KdV equations"
ZAMP, v. 58, no. 4, 535-570 (2007).
J. Colliander, S. Raynor, C. Sulem & J. Wright.
"Ground state mass concentration in the L2 critical nonlinear Schrodinger
equation below H1"
Mathematical Research Letters, v. 12, no. 2-3, 357-375 (2005).
"Corrections to the KdV approximation for water waves"
SIAM Journal on Mathematical Analysis, v. 37, no. 4, 1161-1206 (2005).
C. Wayne & J. Wright.
"Higher order modulation equations for a Boussinesq equation"
SIAM Journal of Applied Dynamical Systems, v. 1, 271-302 (2002).
- "Corrections to the KdV approximation for water waves." [thesis]
The National Science Foundation has generously funded my research
with the following grants:
J. Wright (PI). "Wave propagation in heterogeneous nonlinear
NSF DMS- 1511488. 9/15-8/18.
J. Wright (PI). "Degenerate dispersive effects in partial and lattice differential equations"
R. Hicks (PI) & J. Wright (Co-PI). "Distributions for optical design"
J. Wright (PI). "Dynamics and interactions of free fluid interfaces"