Natalie E Sheils
Natalie E Sheils
School of Mathematics, University of Minnesota
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Cited by
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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
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
The linear KdV equation with an interface
B Deconinck, NE Sheils, DA Smith
Communications in Mathematical Physics 347 (2), 489-509, 2016
Interface problems for dispersive equations
NE Sheils and, B Deconinck
Studies in Applied Mathematics 134 (3), 253-275, 2015
Heat equation on a network using the Fokas method
NE Sheils, DA Smith
Journal of Physics A: Mathematical and Theoretical 48 (33), 335001, 2015
Heat conduction on the ring: Interface problems with periodic boundary conditions
NE Sheils, B Deconinck
Applied Mathematics Letters 37, 107-111, 2014
Multilayer diffusion in a composite medium with imperfect contact
NE Sheils
Applied Mathematical Modelling 46, 450-464, 2017
The time-dependent Schr\" odinger equation with piecewise constant potentials
NE Sheils, B Deconinck
arXiv preprint arXiv:1709.02450, 2017
Initial‐to‐Interface Maps for the Heat Equation on Composite Domains
NE Sheils, B Deconinck
Studies in Applied Mathematics 137 (1), 140-154, 2016
Interface problems using the Fokas method
NE Sheils
Dispersive Lamb systems
P Olver, N Sheils
arXiv preprint arXiv:1710.05814, 2017
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
Revivals and Fractalisation in the Linear Free Space Schr\" odinger Equation
PJ Olver, NE Sheils, DA Smith
arXiv preprint arXiv:1812.08637, 2018
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
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