The Stability and Slow Dynamics of Localized Spot Patterns for the 3-D Schnakenberg Reaction-Diffusion Model
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Publication:2967806
DOI10.1137/16M108121XzbMath1434.35019MaRDI QIDQ2967806
Shuangquan Xie, Michael J. Ward, Theodore Kolokolnikov, Justin C. Tzou
Publication date: 2 March 2017
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Asymptotic expansions of solutions to PDEs (35C20) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
Related Items (14)
Continuation and bifurcation in nonlinear PDEs - algorithms, applications, and experiments ⋮ Oscillatory translational instabilities of spot patterns in the Schnakenberg system on general 2D domains ⋮ Spots, traps, and patches: asymptotic analysis of localized solutions to some linear and nonlinear diffusive systems ⋮ The stability and slow dynamics of spot patterns in the 2D Brusselator model: the effect of open systems and heterogeneities ⋮ Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system ⋮ Spike solutions to the supercritical fractional Gierer-Meinhardt system ⋮ Asymptotic and Numerical Analysis of a Stochastic PDE Model of Volume Transmission ⋮ Critical exponent of a simple model of spot replication ⋮ Refined stability thresholds for localized spot patterns for the Brusselator model in ⋮ Spot patterns of the Schnakenberg reaction–diffusion system on a curved torus ⋮ Weakly Nonlinear Analysis of Peanut-Shaped Deformations for Localized Spots of Singularly Perturbed Reaction-Diffusion Systems ⋮ Analysis of Spot Patterns on a Coordinate-Invariant Model for Vegetation on a Curved Terrain ⋮ An Asymptotic Analysis of Localized Three-Dimensional Spot Patterns for the Gierer--Meinhardt Model: Existence, Linear Stability, and Slow Dynamics ⋮ Stabilizing a homoclinic stripe
Uses Software
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