textabstractIn this paper we develop a stability theory for spatially periodic patterns on R. Our approach is valid for a class of singularly perturbed reaction-diffusion equations that can be represented by the generalized Gierer-Meinhardt equations as 'normal form'. These equations exhibit a large variety of spatially periodic patterns. We construct an Evans functio
Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly pert...
Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly pert...
Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly pert...
AbstractWe consider a spatially homogeneous system of reaction-diffusion equation defined on the int...
In this article, a general geometric singular perturbation framework is developed to study the impac...
In this article, a general geometric singular perturbation framework is developed to study the impac...
In this article, a general geometric singular perturbation framework is developed to study the impac...
In this thesis, the existence and stability of pulse solutions in two-component, singularly perturbe...
The linear stability of steady-state periodic patterns of localized spots in R2 for the two-componen...
AbstractWe apply the perturbation method and the Implicit Function Theorem to study the persistence ...
AbstractIn many circumstances, a pulse to a partial differential equation (PDE) on the real line is ...
AbstractA new approach to the study of steady states with periodic pattern in coupled reaction-diffu...
In this paper we present the construction of stable stationary solutions in reaction-diffusion syste...
We revisit a homogeneous reaction-diffusion Turing model subject to the Neumann boundary conditions ...
In this paper we introduce a novel generic destabilization mechanism for (reversible) spatially peri...
Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly pert...
Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly pert...
Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly pert...
AbstractWe consider a spatially homogeneous system of reaction-diffusion equation defined on the int...
In this article, a general geometric singular perturbation framework is developed to study the impac...
In this article, a general geometric singular perturbation framework is developed to study the impac...
In this article, a general geometric singular perturbation framework is developed to study the impac...
In this thesis, the existence and stability of pulse solutions in two-component, singularly perturbe...
The linear stability of steady-state periodic patterns of localized spots in R2 for the two-componen...
AbstractWe apply the perturbation method and the Implicit Function Theorem to study the persistence ...
AbstractIn many circumstances, a pulse to a partial differential equation (PDE) on the real line is ...
AbstractA new approach to the study of steady states with periodic pattern in coupled reaction-diffu...
In this paper we present the construction of stable stationary solutions in reaction-diffusion syste...
We revisit a homogeneous reaction-diffusion Turing model subject to the Neumann boundary conditions ...
In this paper we introduce a novel generic destabilization mechanism for (reversible) spatially peri...
Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly pert...
Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly pert...
Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly pert...