Asymptotic behavior of solutions of a model derived from the 1-D Keller–Segel model on the half line
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4189
Abstract: In this paper, we are interested in a model derived from the 1-D Keller-Segel model on the half line x > as follows: ut−lux−uxx=−β(uvx)x,x>0,t>0,λv−vxx=u,x>0,t>0,lu(0,t)+ux(0,t)=vx(0,t)=0,t>0,u(x,0)=u0(x),x>0, where l is a constant. Under the conserved boundary condition, we study… read more here.
Keywords: model derived; model half; half line; segel model ... See more keywords
Similarity Solutions for Keller‐Segel model with fractional diffusion of cells
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6122
Abstract: In this paper, the similarity method has been used to solve fractional Keller‐Segel model where the diffusion is represented by a nonlocal fractional Laplace operator. In order to verify the results, fractional centred difference method… read more here.
Keywords: keller segel; solutions keller; diffusion; segel model ... See more keywords
On mean-field limits and quantitative estimates with a large class of singular kernels: Application to the Patlak–Keller–Segel model
Sign Up to like & getrecommendations! Published in 2019 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2019.09.007
Abstract: In this note, we propose a new relative entropy combination of the methods developed by P.--E. Jabin and Z.~Wang [Inventiones (2018)] and by S. Serfaty [Proc. Int. Cong. of Math, (2018) and references therein] to… read more here.
Keywords: mean field; segel model; patlak keller; quantitative estimates ... See more keywords
Traveling concentration pulses of bacteria in a generalized Keller–Segel model
Sign Up to like & getrecommendations! Published in 2019 at "New Journal of Physics"
DOI: 10.1088/1367-2630/ab4522
Abstract: We formulate the Smoluchowski equation for a run-and-tumble particle. It includes the mean tumble rate in a chemical field, for which we derive a Markovian response theory. Using a multipole expansion and a reaction-diffusion equation… read more here.
Keywords: segel model; model; generalized keller; keller segel ... See more keywords
Analysis of Keller-Segel model with Atangana-Baleanu fractional derivative
Sign Up to like & getrecommendations! Published in 2018 at "Filomat"
DOI: 10.2298/fil1816633d
Abstract: The new definition of the fractional derivative was defined by Atangana and Baleanu in 2016. They used the generalized Mittag-Leffler function with the non-singular and non-local kernel. Further, their version provides all properties of fractional… read more here.
Keywords: atangana baleanu; segel model; fractional derivative; keller segel ... See more keywords