RESEARCH INFORMATION:
J. Douglas Wright
Associate Professor/Associate Department Head
Department of Mathematics
Drexel University

Curriculum Vitae
REFEREED PUBLICATIONS:
  1. A. Hoffman & J. Wright. "Nanopteron solutions of diatomic Fermi-Pasta-Ulam-Tsingou lattices with small mass-ratio"
    Accepted by Physica D in 2017.[arXiv]
  2. 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. [arXiv]
  3. G. Medvedev & J. Wright. "Stability of twisted states in the continuum Kuramoto model"
    SIAM Journal of Applied Dynamical Systems, v. 1, 188-203 (2017). [SIADS]
  4. D. Ambrose & J. Wright. "Nonexistence of small doubly periodic solutions for dispersive equations"
    Analysis & PDE, v. 9, 15-42 (2016). [A&PDE]
  5. B. Akers, D. Ambrose, K. Pond, & J. Wright. "Overturned internal capillary-gravity waves"
    Eur. J. Mech. B Fluids, v. 57, 143-151 (2016). [EJMBF]
  6. A. Vainchtein, Y. Starosvetsky, J. Wright & R. Perline. "Solitary waves in diatomic chains"
    Physical Review E, v. 93, 042210 (2016). [PRE]
  7. 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). [AIHPCNLA]
  8. 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). [CRMASP]
  9. 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 (2014). [MMS]
  10. B. Akers, D. Ambrose & J. Wright. "Gravity perturbed Crapper waves"
    Proceedings of the Royal Society A, v. 470, no. 2161, 20130526 (2014). [PROCRSOCA]
  11. 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). [OE]
  12. 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). [IFB]
  13. 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). [IUMJ]
  14. 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). [PROCAMERMATHSOC]
  15. 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). [JFA]
  16. J. Wright. "On the spectrum of the superposition of separated potentials"
    DCDS-B, v. 18, no.1, 273-281 (2013). [DCDSB]
  17. D. Ambrose, G. Simpson, J. Wright & D. Yang. "Ill-posedness of degenerate dispersive equations"
    Nonlinearity, v. 25, 2655-2689 (2012). [Nonlinearity]
  18. D. Spirn & J. Wright. "Linear dispersive decay estimates for the 3+1 dimensional water wave equation with surface tension"
    Canadian Mathematical Bulletin, v. 55, no. 1, 176-187 (2012). [CMB]
  19. A. Hoffman & J. Wright. "Exit manifolds for lattice differential equations"
    Proceedings of the Royal Society Edinburgh: Section A, v. 140, no. 1, 77-92 (2011). [PROCA]
  20. D. Ambrose & J. Wright. "Preservation of support and positivity for solutions of degenerate evolution equations"
    Nonlinearity, v. 23, 607-620 (2010). [Nonlinearity]
  21. J. Wright. "Interactions manifolds for reaction-diffusion equations in two dimensions"
    SIAM Journal of Applied Dynamical Systems. v. 9, 734-768 (2010). [SIADS]
  22. J. Wright. "Separating dissipative pulses---the exit manifold"
    Journal of Dynamics and Differential Equations, v. 21, no. 2, 315-328 (2009). [JDDE]
  23. 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). [CMS]
  24. A. Scheel & J. Wright. "Colliding dissipative pulses---the shooting manifold"
    Journal of Differential Equations, v. 245, no. 1, 59-79 (2008). [JDE]
  25. J. Wright & A. Scheel. "Solitary waves and their linear stability in weakly coupled KdV equations"
    ZAMP, v. 58, no. 4, 535-570 (2007). [ZAMP]
  26. 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). [MRL]
  27. J. Wright. "Corrections to the KdV approximation for water waves"
    SIAM Journal on Mathematical Analysis, v. 37, no. 4, 1161-1206 (2005). [SIMA]
  28. C. Wayne & J. Wright. "Higher order modulation equations for a Boussinesq equation"
    SIAM Journal of Applied Dynamical Systems, v. 1, 271-302 (2002). [SIADS]
THESIS:
The National Science Foundation has generously funded my research with the following grants:
  1. J. Wright (PI). "Wave propagation in heterogeneous nonlinear dispersive systems"
    NSF DMS- 1511488. 9/15-8/18.
  2. J. Wright (PI). "Degenerate dispersive effects in partial and lattice differential equations"
    NSF DMS-1105635. 9/11-8/15.
  3. R. Hicks (PI) & J. Wright (Co-PI). "Distributions for optical design"
    NSF DMS-0908299. 7/09-6/13.
  4. J. Wright (PI). "Dynamics and interactions of free fluid interfaces"
    NSF DMS-0807738. 9/08-8/12.