Natalie E Sheils
Natalie E Sheils
School of Mathematics, University of Minnesota
Verified email at umn.edu - Homepage
TitleCited byYear
Global existence for a coupled system of Schrödinger equations with power-type nonlinearities
NV Nguyen, R Tian, B Deconinck, N Sheils
Journal of Mathematical Physics 54 (1), 011503, 2013
382013
Non-steady-state heat conduction in composite walls
B Deconinck, B Pelloni, NE Sheils
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2014
292014
Interface problems for dispersive equations
NE Sheils and, B Deconinck
Studies in Applied Mathematics 134 (3), 253-275, 2015
152015
Heat equation on a network using the Fokas method
NE Sheils, DA Smith
Journal of Physics A: Mathematical and Theoretical 48 (33), 335001, 2015
142015
The linear KdV equation with an interface
B Deconinck, NE Sheils, DA Smith
Communications in Mathematical Physics 347 (2), 489-509, 2016
132016
Heat conduction on the ring: Interface problems with periodic boundary conditions
NE Sheils, B Deconinck
Applied Mathematics Letters 37, 107-111, 2014
132014
Multilayer diffusion in a composite medium with imperfect contact
NE Sheils
Applied Mathematical Modelling 46, 450-464, 2017
62017
Initial‐to‐Interface Maps for the Heat Equation on Composite Domains
NE Sheils, B Deconinck
Studies in Applied Mathematics 137 (1), 140-154, 2016
62016
The time-dependent Schrödinger equation with piecewise constant potentials
NE Sheils, B Deconinck
European Journal of Applied Mathematics, 1-27, 2017
52017
Interface Problems using the Fokas Method
NE Sheils
42015
Entrainment ranges of forced phase oscillators
JP Previte, N Sheils, KA Hoffman, T Kiemel, ED Tytell
Journal of mathematical biology 62 (4), 589-603, 2011
42011
On the spectral stability of solitary wave solutions of the vector nonlinear Schrödinger equation
B Deconinck, NE Sheils, NV Nguyen, R Tian
Journal of Physics A: Mathematical and Theoretical 46 (41), 415202, 2013
32013
Dispersive Lamb Systems
P Olver, N Sheils
arXiv preprint arXiv:1710.05814, 2017
22017
Revivals and Fractalisation in the Linear Free Space Schr\" odinger Equation
PJ Olver, NE Sheils, DA Smith
arXiv preprint arXiv:1812.08637, 2018
2018
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Articles 1–14