Bob Jenkins

Postdoctoral research associate

Department of Mathematics

University of Arizona

rjenkins at math dot arizona dot edu


Published Papers

1. Jenkins, R., Liu, J., Perry, P., Sulem, C., "Soliton resolution for the derivative nonlinear Schrödinger equation", (submitted to Comm. Math. Phys. arXiv:1710.03819)

2. Jenkins, R., Liu, J., Perry, P., Sulem, C., "Global well-posedness for the derivative nonlinear Schrödinger equation", (submitted to Comm. in PDE. arXiv:1710.03810)

3. Jenkins, R., McLaughlin, K., "Dynamic behavior of the roots of the Taylor polynomails of the Riemann xi function with growing degree", 28 pages (accepted Const. Approx. arXiv:1609.05965).

4. Borghese, M., Jenkins, R., McLaughlin, K. "Long time asymptotic behavior of the focusing nonlinear Schrödinger equation", 38 pages (accepted to Inst. H. Poincaré Anal. Non Linéaire arXiv: 1604.07436).

5. Buckingham, R., Jenkins, R., Miller P., "Semiclassical soliton ensembles for the three wave resonant interaction equations", Comm. Math. Phys.  354 (2017), n.3, 1015-1100.

6. Cuccagna, S., Jenkins, R., "On the asymptotic stability of N-soliton solutions of the defocusing nonlinear Schrödinger equation", Comm. Math. Phys. 343 (2016) n.3, 921-969.

7. Jenkins, R. "Regularization of a sharp shock by the defocusing nonlinear Schrödinger equation", Nonlinearity 28 (2015) n.7 2131-2180.

8. Jenkins, R., McLaughlin, K., "The semiclassical limit of the focusing NLS for a familyt of non-analytic inital data", CPAM  67 (2014) n.2 246-320.

9. Jenkins, R., Baik, J., "Limiting distributions of maximal crossing and nestings of Poissonized random matchings", Ann. Probab. 41 (2013), n.6 4359-4406.

10. Jenkins, R., "Semiclassical asymptotics of the focusing nonlinear Schrödinger equation for square barrier initial data",  (Thesis) Advisor: Ken McLaughlin

To Appear Soon

11. Jenkins, R., Tovbis, A., "Generation of multiphase waves from a barrier potential in the semiclassical limit of the focusing nonlinear Schrodinger equation".

12. Buckingham, R., Jenkins, R., Miller, P., "Semiclassical soliton ensembles for the three wave resonant interaction equations: asymptotic behavior for small time".

13. Buckingham, R., Jenkins, R., Miller, P., “Semiclassical soliton ensembles of the nonlinear Schr ̈odinger equation approximating compactly supported initial data”.

14. Jenkins, R., McLaughlin, K., Pounder, K., "The inverse spectral problem for nearly singular Jacobi matrices and applications to the finite Toda lattice".

15. Borghese, M., Gibney, J., Jenkins, R., McLaughlin, K., Pounder, K., "A survey of various methods for the efficient numerical computation of the Hilbert transform".

16. Jenkins, R., Pounder K., "A family of discrete orthogonal polynomials on the circle: application to the Ablowitz-Ladik shock interactioin problem".