Zobrazeno 1 - 10
of 41
pro vyhledávání: '"J. C. Tzou"'
Publikováno v:
Nonlinearity. 36:2473-2513
For a bounded 2D planar domain Ω, we investigate the impact of domain geometry on oscillatory translational instabilities of N-spot equilibrium solutions for a singularly perturbed Schnakenberg reaction-diffusion system with activator-inhibitor diff
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 150:202-240
We use geometric microlocal methods to compute an asymptotic expansion of mean first arrival time for Brownian particles on Riemannian manifolds. This approach provides a robust way to treat this problem, which has thus far been limited to very speci
Autor:
Leo Tzou, J. C. Tzou
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 19:2500-2529
Motivated by the model proposed by Gandhi et al. in [J. R. Soc. Interface, 15 (2018), 20180508], we propose a two-component reaction-advection-diffusion model for vegetation density and soil water ...
Autor:
Leo Tzou, J. C. Tzou
Publikováno v:
Nonlinearity. 33:643-674
For the Schnakenberg activator-inhibitor model on a torus, in the singularly perturbed regime of small activator to inhibitor diffusivity ratio , we derive a reduced ODE describing the influence of curvature on the the slow drift dynamics of a single
Autor:
J. C. Tzou, Brian Wetton
Publikováno v:
AIMS Mathematics, Vol 4, Iss 6, Pp 1796-1804 (2019)
We consider the optimal covering of the unit square by N circles. By optimal, we mean the covering that can be done with N circles of minimum radius. Equivalently, we study the problem of the optimal placement of N points such that the maximum over a
Publikováno v:
European Journal of Applied Mathematics. 30:791-828
In the singular perturbation limit ε → 0, we analyse the linear stability of multi-spot patterns on a bounded 2-D domain, with Neumann boundary conditions, as well as periodic patterns of spots centred at the lattice points of a Bravais lattice in
Autor:
J. C. Tzou, Michael J. Ward
Publikováno v:
Physica D: Nonlinear Phenomena. 373:13-37
Spot patterns, whereby the activator field becomes spatially localized near certain dynamically-evolving discrete spatial locations in a bounded multi-dimensional domain, is a common occurrence for two-component reaction–diffusion (RD) systems in t
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 17:982-1022
For three specific singularly perturbed two-component reaction diffusion systems in a bounded two-dimensional domain admitting localized multispot patterns, we provide a detailed analysis of the pa...
Publikováno v:
European Journal of Applied Mathematics. 28:1015-1055
For certain singularly perturbed two-component reaction–diffusion systems, the bifurcation diagram of steady-state spike solutions is characterized by a saddle-node behaviour in terms of some parameter in the system. For some such systems, such as
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 16:294-336
On a bounded three-dimensional domain $\Omega$, a hybrid asymptotic-numerical method is employed to analyze the existence, linear stability, and slow dynamics of localized quasi-equilibrium multispot patterns of the Schnakenberg activator-inhibitor m