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chemotaxisOrganisation
Colloq. Math. (to appear)We study the global existence and space-time asymptotics of solutions for a class of nonlocal parabolic semilinear equations. Our models include the Nernst-Planck and the Debye-Hukel drift-diffusion systems as well as parabolic-elliptic systems of chemotaxis. In the case of a model of self-gravitating particles, we also give a result on the finite time blow up of solutions with localized and oscillating complex-valued initial data, using a method by S. Montgomery-Smith
In this paper we study a simple non-local semilinear parabolic equation with Neumann boundary condit...
25 pages. Second version revised according to referee's remark. To appear in Studia Math.Internation...
25 pages. Second version revised according to referee's remark. To appear in Studia Math.Internation...
Colloq. Math. (to appear)We study the global existence and space-time asymptotics of solutions for a...
Pré-tirageFor a specific choice of the diffusion, the parabolic-elliptic Patlak-Keller-Segel system ...
44 pages, 2 figuresThis paper is devoted to the analysis of the classical Keller-Segel system over $...
44 pages, 2 figuresThis paper is devoted to the analysis of the classical Keller-Segel system over $...
44 pages, 2 figuresThis paper is devoted to the analysis of the classical Keller-Segel system over $...
44 pages, 2 figuresThis paper is devoted to the analysis of the classical Keller-Segel system over $...
19 pagesInternational audienceAbstract: This paper is devoted to the analysis of non-negative soluti...
44 pages, 2 figuresThis paper is devoted to the analysis of the classical Keller-Segel system over $...
summary:We show a locally uniform bound for global nonnegative solutions of the system $u_t=\Delta u...
summary:We show a locally uniform bound for global nonnegative solutions of the system $u_t=\Delta u...
summary:We investigate stationary solutions and asymptotic behaviour of solutions of two boundary va...
We consider the evolution of the density and temperature of athree-dimensional cloud of self-interac...
In this paper we study a simple non-local semilinear parabolic equation with Neumann boundary condit...
25 pages. Second version revised according to referee's remark. To appear in Studia Math.Internation...
25 pages. Second version revised according to referee's remark. To appear in Studia Math.Internation...
Colloq. Math. (to appear)We study the global existence and space-time asymptotics of solutions for a...
Pré-tirageFor a specific choice of the diffusion, the parabolic-elliptic Patlak-Keller-Segel system ...
44 pages, 2 figuresThis paper is devoted to the analysis of the classical Keller-Segel system over $...
44 pages, 2 figuresThis paper is devoted to the analysis of the classical Keller-Segel system over $...
44 pages, 2 figuresThis paper is devoted to the analysis of the classical Keller-Segel system over $...
44 pages, 2 figuresThis paper is devoted to the analysis of the classical Keller-Segel system over $...
19 pagesInternational audienceAbstract: This paper is devoted to the analysis of non-negative soluti...
44 pages, 2 figuresThis paper is devoted to the analysis of the classical Keller-Segel system over $...
summary:We show a locally uniform bound for global nonnegative solutions of the system $u_t=\Delta u...
summary:We show a locally uniform bound for global nonnegative solutions of the system $u_t=\Delta u...
summary:We investigate stationary solutions and asymptotic behaviour of solutions of two boundary va...
We consider the evolution of the density and temperature of athree-dimensional cloud of self-interac...
In this paper we study a simple non-local semilinear parabolic equation with Neumann boundary condit...
25 pages. Second version revised according to referee's remark. To appear in Studia Math.Internation...
25 pages. Second version revised according to referee's remark. To appear in Studia Math.Internation...
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