We consider the shadow system of the Gierer-Meinhardt system in a smooth bounded domain Ω ⊂ RN: At = 2∆A−A+ Apξq, x ∈ Ω, t> 0, τ |Ω|ξt = −|Ω|ξ + 1ξs ΩA r dx, t> 0 with Robin boundary conditio
The present thesis is concerned with the problem of proving the existence of optimal domains for fun...
In the limit of small activator diffusivity ε, and in a bounded domain in R N with N = 1 or N = 2 un...
A fundamental example of reaction-diffusion system exhibiting Turing type pattern formation is the G...
We consider the shadow system of the Gierer-Meinhardt system in a smooth bounded domain RN,At=2A−A+,...
In the limit of small activator diusivity, the stability of a one-spike solution to the shadow Giere...
Abstract. In this paper we study the stability of the single internal spike so-lution of the shadow ...
this paper is to study oscillatory-type instabilities that occur for spike-type solutions of the lim...
We consider the following shadow system of the Gierer-Meinhardt system with saturation:⎧⎪⎨ At = 2∆A−...
We study a coupled bulk–surface Allen–Cahn system with an affine linear transmission condition, that...
A well-known system of partial differential equations, known as the Gierer-Meinhardt system, has bee...
AbstractLet B be a two-dimensional ball with radius R. Let (u(x,y),ξ) be a nonconstant steady state ...
Abstract. We study the Gierer-Meinhardt system in one dimension in the limit of large reaction rates...
We prove the existence of unique weak solutions to an extension of a Cahn-Hilliard model proposed re...
Abstract. Numerical computations often show that the Gierer-Meinhardt system has stable solutions wh...
The stability properties of an N-spike equilibrium solution to a simpli ed form of the GiererMeinha...
The present thesis is concerned with the problem of proving the existence of optimal domains for fun...
In the limit of small activator diffusivity ε, and in a bounded domain in R N with N = 1 or N = 2 un...
A fundamental example of reaction-diffusion system exhibiting Turing type pattern formation is the G...
We consider the shadow system of the Gierer-Meinhardt system in a smooth bounded domain RN,At=2A−A+,...
In the limit of small activator diusivity, the stability of a one-spike solution to the shadow Giere...
Abstract. In this paper we study the stability of the single internal spike so-lution of the shadow ...
this paper is to study oscillatory-type instabilities that occur for spike-type solutions of the lim...
We consider the following shadow system of the Gierer-Meinhardt system with saturation:⎧⎪⎨ At = 2∆A−...
We study a coupled bulk–surface Allen–Cahn system with an affine linear transmission condition, that...
A well-known system of partial differential equations, known as the Gierer-Meinhardt system, has bee...
AbstractLet B be a two-dimensional ball with radius R. Let (u(x,y),ξ) be a nonconstant steady state ...
Abstract. We study the Gierer-Meinhardt system in one dimension in the limit of large reaction rates...
We prove the existence of unique weak solutions to an extension of a Cahn-Hilliard model proposed re...
Abstract. Numerical computations often show that the Gierer-Meinhardt system has stable solutions wh...
The stability properties of an N-spike equilibrium solution to a simpli ed form of the GiererMeinha...
The present thesis is concerned with the problem of proving the existence of optimal domains for fun...
In the limit of small activator diffusivity ε, and in a bounded domain in R N with N = 1 or N = 2 un...
A fundamental example of reaction-diffusion system exhibiting Turing type pattern formation is the G...