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Patlak-Keller-Segel system

The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in $\RR^d$, $d \ge 3$

The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in $\RR^d$, $d \ge 3$

... elliptic Keller-Segel system (also referred to as the Patlak-Keller-Segel system or the Smoluchowski-Poisson equation in astrophysics) which corresponds to the choice τ = ...

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Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model

Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model

... PKS system and its critical mass The Patlak-Keller-Segel system [39, 27] is one of the simplest models of chemotaxis, describing the evolution of the population density of a cell colony ...

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A finite volume scheme for a Keller-Segel model with additional cross-diffusion

A finite volume scheme for a Keller-Segel model with additional cross-diffusion

... (Patlak-) Keller-Segel system, suggested by Patlak in 1953 [31] and Keller and Segel in 1970 ...parabolic-elliptic Keller-Segel equations read as ...

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Infinite time blow-up in the Keller-Segel system: existence and stability

Infinite time blow-up in the Keller-Segel system: existence and stability

... Patlak-Keller-Segel model in a disk. SIAM J. Math. Anal. 40 (2008/09), no. 5, 1852-1881. [18] E. F. Keller; L. A. Segel, Initiation of slide mold aggregation viewed as an instability. ...

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Existence and stability of infinite time blow-up in the Keller-Segel system

Existence and stability of infinite time blow-up in the Keller-Segel system

... The Patlak-Keller-Segel model [ 43 , 35 ] is used in mathematical biology to describe the motion of mono-cellular organisms, like Dictyostelium Discoideum, which move ran- domly but experience a ...

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Existence and stability of infinite time blow-up in the Keller-Segel system

Existence and stability of infinite time blow-up in the Keller-Segel system

... The Patlak-Keller-Segel model [ 43 , 35 ] is used in mathematical biology to describe the motion of mono-cellular organisms, like Dictyostelium Discoideum, which move ran- domly but experience a ...

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GANIL RF system

GANIL RF system

... The same studies have been made on the 1 : 4 model as for the SSC resonators, Compared with the calcu- lations, minor modifications have been included in the stem length an[r] ...

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A complete resolution of the Keller maximum clique problem

A complete resolution of the Keller maximum clique problem

... DIMACS hosted a challenge for Cliques, Colouring and Satisfiability in 1993 [12]. The repository for the challenge included a simple clique algorithm written by David Johnson, and a collection of benchmark clique ...

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Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders

Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders

... to Keller-Lieb-Thirring spectral estimates for Schr¨ odinger operators on infinite cylinders: the absolute value of the ground state level is bounded by a function of a norm of the ...

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Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders

Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders

... J.B. Keller in [11] and later rediscovered by ...the Keller- Lieb-Thirring inequality, and to [6] for its use in the context of Caffarelli-Kohn-Nirenberg ...

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L'insoumise : Helen Keller, ou, Le trajet de soi vers l'autre : essai sur l'appropriation du langage et analyse heuristique d'une pratique interdisciplinaire

L'insoumise : Helen Keller, ou, Le trajet de soi vers l'autre : essai sur l'appropriation du langage et analyse heuristique d'une pratique interdisciplinaire

... L'interdisciplinarité étant reliée historiquement au courant de la performance , la perspective heuristique me semble constituer un écrin pertinent pour étudier cette [r] ...

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Knowledge Management System as a Sociotechnical System

Knowledge Management System as a Sociotechnical System

... Management System (CKMS) defined as follows: “A Collaborative Knowledge Management System (CKMS) is an integrated systems tool that enables collaboration between its users and its components” ...the ...

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2015 — Anomaly detection system using system calls for android smartphone system

2015 — Anomaly detection system using system calls for android smartphone system

... extract system features used in the process of detecting anomaly ...smartphone system, collects the data describing the system state, such as the amount of free RAM, the number of running processes, ...

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A new McKean-Vlasov stochastic interpretation of the parabolic-parabolic Keller-Segel model: The two-dimensional case

A new McKean-Vlasov stochastic interpretation of the parabolic-parabolic Keller-Segel model: The two-dimensional case

... the Keller-Segel system in the two- dimensional setting if the parameter χ is ...the system, its behaviour has been completely understood. That is, the system exhibits the “threshold” ...

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A new McKean-Vlasov stochastic interpretation of the parabolic-parabolic Keller-Segel model: The one-dimensional case

A new McKean-Vlasov stochastic interpretation of the parabolic-parabolic Keller-Segel model: The one-dimensional case

... particle system appear to be effective for arbitrary value of χ, it seems interesting to validate our probabilistic approach in the one-dimensional ...deterministic system (1) and the stochastic dynamics ...

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Mean-field limit of a particle approximation of the one-dimensional parabolic--parabolic Keller-Segel model without smoothing

Mean-field limit of a particle approximation of the one-dimensional parabolic--parabolic Keller-Segel model without smoothing

... particle system related to ( 2 ...particle system is well–posed and propagates chaos to the unique weak solution of ( 2 ...-particle system in order to obtain uniform in N bounds for moments of the ...

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Analysis of singularities in elliptic equations : the Ginzburg-Landau model of superconductivity, the Lin-Ni-Takagi problem, the Keller-Segel model of chemotaxis, and conformal geometry

Analysis of singularities in elliptic equations : the Ginzburg-Landau model of superconductivity, the Lin-Ni-Takagi problem, the Keller-Segel model of chemotaxis, and conformal geometry

... The key in Ginzburg-Landau analysis has proven to be a vortex ball construction providing both approximation of the vorticity and lower bound.. In 3D started by [ABO05, BJOS12] but not q[r] ...

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THI safety system

THI safety system

... RESPONSE TIME To measure the response time, the beam is tuned to lose 4µAe in SSC1. We cut the beam by the chopper and we set the threshold to 2µAe. The beam is then sent through the cyclotron, and the safety ...

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Designing resource-aware distriubted system based on system level containers

Designing resource-aware distriubted system based on system level containers

... 1 Presenter Inti Gonzalez-Herrera is a Ph.D. Student at the University of Rennes 1, where he is a member of the DiverSE INRIA research team. He received his M.Sc. degree in 2010 from the University of Las Villas, Cuba. ...

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Building as a system.

Building as a system.

... Its sizes and characteristics are defined by its location within the building. Following this thought, the cores were designed as a system of growth with interchangeable elem[r] ...

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