Add to ORKGWe consider a diffusion-chemotaxis-growth system which models patten fomation by a bacterial colony.In the cace of spatial dimension one we prove that theinitial-boundary value problem for the system has a unique solution on the entire time interval(0,+∞),and that the solution remains bounded. Moreover,it is shown that the solution tends to a trivial steady state as t→+∞
A differential equation describing the chemotactic migration of a bacterial population in a fixed ex...
(Communicated by the associate editor name) Abstract. We study the system8>>< ct + u · ∇c =...
We consider a reaction-diffusion system modeling chemotaxis, which describes the situation of two sp...
We consider a diffusion-chemotaxis-growth system which models patten fomation by a bacterial colony....
We consider an initial-boundary value problem for reaction-diffusion equations coupled with the Kell...
We study a modified version of an initial-boundary value problem describing the formation of colony ...
AbstractThis paper deals with the Keller–Segel model{ut=Δu−χ∇⋅(u∇v),x∈Ω,t>0,vt=Δv−uv,x∈Ω,t>0, under ...
AbstractThis paper is concerned with the asymptotic behavior of the solution for a coupled system of...
A new continuum model for the growth of a single species biofilm is proposed. The geometry of the bi...
Abstract. This paper is devoted to a study of the asymptotic behaviour of solutions of a chemotaxis ...
In this article, we consider a free boundary problem for a reaction diffusion equation which descri...
We consider a nonlinear PDEs system of two equations of Parabolic–Elliptic type with chemotactic ter...
We consider a nonlinear PDEs system of two equations of Parabolic–Elliptic type with chemotactic ter...
We consider non-negative solution of a chemotaxis system with non constant chemotaxis sensitivity fu...
We consider the initial-boundary value problem for the coupled Navier-Stokes-Keller-Segel-Fisher-Kol...
A differential equation describing the chemotactic migration of a bacterial population in a fixed ex...
(Communicated by the associate editor name) Abstract. We study the system8>>< ct + u · ∇c =...
We consider a reaction-diffusion system modeling chemotaxis, which describes the situation of two sp...
We consider a diffusion-chemotaxis-growth system which models patten fomation by a bacterial colony....
We consider an initial-boundary value problem for reaction-diffusion equations coupled with the Kell...
We study a modified version of an initial-boundary value problem describing the formation of colony ...
AbstractThis paper deals with the Keller–Segel model{ut=Δu−χ∇⋅(u∇v),x∈Ω,t>0,vt=Δv−uv,x∈Ω,t>0, under ...
AbstractThis paper is concerned with the asymptotic behavior of the solution for a coupled system of...
A new continuum model for the growth of a single species biofilm is proposed. The geometry of the bi...
Abstract. This paper is devoted to a study of the asymptotic behaviour of solutions of a chemotaxis ...
In this article, we consider a free boundary problem for a reaction diffusion equation which descri...
We consider a nonlinear PDEs system of two equations of Parabolic–Elliptic type with chemotactic ter...
We consider a nonlinear PDEs system of two equations of Parabolic–Elliptic type with chemotactic ter...
We consider non-negative solution of a chemotaxis system with non constant chemotaxis sensitivity fu...
We consider the initial-boundary value problem for the coupled Navier-Stokes-Keller-Segel-Fisher-Kol...
A differential equation describing the chemotactic migration of a bacterial population in a fixed ex...
(Communicated by the associate editor name) Abstract. We study the system8>>< ct + u · ∇c =...
We consider a reaction-diffusion system modeling chemotaxis, which describes the situation of two sp...