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Daniel Gomez
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The Linear Stability of Symmetric Spike Patterns for a Bulk-Membrane Coupled Gierer--Meinhardt Model
D Gomez, MJ Ward, J Wei
SIAM Journal on Applied Dynamical Systems 18 (2), 729-768, 2019
252019
Asymptotic analysis of narrow escape problems in nonspherical three-dimensional domains
D Gomez, AF Cheviakov
Physical Review E 91 (1), 012137, 2015
172015
Stable and unstable periodic spiky solutions for the Gray–Scott system and the Schnakenberg system
D Gomez, L Mei, J Wei
Journal of Dynamics and Differential Equations 32, 441-481, 2020
162020
Pattern forming systems coupling linear bulk diffusion to dynamically active membranes or cells
D Gomez, S Iyaniwura, F Paquin-Lefebvre, MJ Ward
Philosophical Transactions of the Royal Society A 379 (2213), 20200276, 2021
112021
Multi-spike solutions to the fractional Gierer-Meinhardt system in a one-dimensional domain
D Gomez, J Wei, W Yang
arXiv preprint arXiv:2102.00569, 2021
72021
An Asymptotic Analysis of Localized Three-Dimensional Spot Patterns for the Gierer--Meinhardt Model: Existence, Linear Stability, and Slow Dynamics
D Gomez, MJ Ward, J Wei
SIAM Journal on Applied Mathematics 81 (2), 378-406, 2021
72021
Multi-spike patterns in the Gierer–Meinhardt system with a nonzero activator boundary flux
D Gomez, J Wei
Journal of Nonlinear Science 31, 1-41, 2021
52021
Hopf bifurcation from spike solutions for the weak coupling Gierer–Meinhardt system
D Gomez, L Mei, J Wei
European Journal of Applied Mathematics 32 (1), 113-145, 2021
52021
Design of rotating resonant magnetic perturbation coil system in the STOR-M tokamak
S Elgriw, J Adegun, M Patterson, A Rohollahi, D Basu, M Nakajima, ...
Fusion Engineering and Design 123, 148-152, 2017
52017
On isospectral deformations of an inhomogeneous string
K Colville, D Gomez, J Szmigielski
Communications in Mathematical Physics 348, 771-802, 2016
52016
A non-singular integral equation formulation of permeable semi-infinite hydraulic fractures driven by shear-thinning fluids
D Gomez
University of British Columbia, 2016
42016
The Canada day theorem
D Gomez, H Lundmark, J Szmigielski
arXiv preprint arXiv:1206.4138, 2012
42012
Spike Solutions to the Supercritical Fractional Gierer–Meinhardt System
D Gomez, M De Medeiros, J Wei, W Yang
Journal of Nonlinear Science 34 (1), 24, 2024
22024
Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system
D Gomez, J Wei, Z Yang
Physica D: Nonlinear Phenomena 448, 133720, 2023
12023
Boundary layer solutions in the Gierer–Meinhardt system with inhomogeneous boundary conditions
D Gomez, L Mei, J Wei
Physica D: Nonlinear Phenomena 429, 133071, 2022
12022
Existence and Stability of a Boundary Layer with an Interior Spike in the Singularly Perturbed Shadow Gierer-Meinhardt System
D Gomez, J Wei
arXiv preprint arXiv:2308.09620, 2023
2023
First Hitting Time of a One-Dimensional Levy Flight to Small Targets
D Gomez, SD Lawley
arXiv preprint arXiv:2307.06274, 2023
2023
Front propagation in the shadow wave-pinning model
D Gomez, KY Lam, Y Mori
Journal of Mathematical Biology 86 (5), 72, 2023
2023
An analysis of localized patterns in some novel reaction diffusion models
D Gomez
University of British Columbia, 2020
2020
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Articles 1–19