Add to ORKGWe rigorously prove results on spiky patterns for the Gierer-Meinhardt system with a large number of jump discontinuities in the diffusion coefficient of the inhibitor. Using numerical computations in combination with a Turing-type instability analysis, this system has been investigated by Benson, Maini and Sherratt
AbstractNumerical computations often show that the Gierer–Meinhardt system has stable solutions whic...
We consider the Gierer-Meinhardt system with small inhibitor diffusivity, very small activator diffu...
In the limit of small activator diffusivity ", a formal asymptotic analysis is used to derive a...
The original publication is available at http://www.springerlink.com/content/vw2m382276u4g814/We rig...
Abstract. We rigorously prove results on spiky patterns for the Gierer-Meinhardt system [5] with a l...
We study the Gierer-Meinhardt system in one dimension in the limit of large reaction rates. First we...
A well-known system of partial differential equations, known as the Gierer-Meinhardt system, has bee...
A well-known system of partial differential equations, known as the Gierer-Meinhardt system, has bee...
We consider the Gierer-Meinhardt system with a for the activator. Such an equation exhibits a typica...
Abstract. Numerical computations often show that the Gierer-Meinhardt system has stable solutions wh...
The dynamical behavior of spike-type solutions to a simplied form of the Gierer-Meinhardt activator-...
In this thesis we analyse three different reaction-diffusion models These are: the Gray-Scott model...
In this paper, we rigorously prove the existence and stability of multiple-peaked patterns for the...
In the limit of small activator diffusivity ε, and in a bounded domain in R N with N = 1 or N = 2 un...
The motion of a one-spike solution to a simplified form of the Gierer--Meinhardt activator-inhibitor...
AbstractNumerical computations often show that the Gierer–Meinhardt system has stable solutions whic...
We consider the Gierer-Meinhardt system with small inhibitor diffusivity, very small activator diffu...
In the limit of small activator diffusivity ", a formal asymptotic analysis is used to derive a...
The original publication is available at http://www.springerlink.com/content/vw2m382276u4g814/We rig...
Abstract. We rigorously prove results on spiky patterns for the Gierer-Meinhardt system [5] with a l...
We study the Gierer-Meinhardt system in one dimension in the limit of large reaction rates. First we...
A well-known system of partial differential equations, known as the Gierer-Meinhardt system, has bee...
A well-known system of partial differential equations, known as the Gierer-Meinhardt system, has bee...
We consider the Gierer-Meinhardt system with a for the activator. Such an equation exhibits a typica...
Abstract. Numerical computations often show that the Gierer-Meinhardt system has stable solutions wh...
The dynamical behavior of spike-type solutions to a simplied form of the Gierer-Meinhardt activator-...
In this thesis we analyse three different reaction-diffusion models These are: the Gray-Scott model...
In this paper, we rigorously prove the existence and stability of multiple-peaked patterns for the...
In the limit of small activator diffusivity ε, and in a bounded domain in R N with N = 1 or N = 2 un...
The motion of a one-spike solution to a simplified form of the Gierer--Meinhardt activator-inhibitor...
AbstractNumerical computations often show that the Gierer–Meinhardt system has stable solutions whic...
We consider the Gierer-Meinhardt system with small inhibitor diffusivity, very small activator diffu...
In the limit of small activator diffusivity ", a formal asymptotic analysis is used to derive a...