Zobrazeno 1 - 10
of 14 582
pro vyhledávání: '"Volume filling"'
Autor:
Xiaowen, Li, Jingyu, Li
Publikováno v:
Journal of Mathematical Study,57 (2024), pp. 331-357
We are interested in the dynamical behaviors of solutions to a parabolic-parabolic chemotaxis-consumption model with a volume-filling effect on a bounded interval, where the physical no-flux boundary condition for the bacteria and mixed Dirichlet-Neu
Externí odkaz:
http://arxiv.org/abs/2412.09242
Autor:
He, Qingyou, Zhang, Mingyue
We consider the Keller-Segel system with a volume-filling effect and study its incompressible limit. Due to the presence of logistic-type sensitivity, $K=1$ is the critical threshold. When $K>1$, as the diffusion exponent tends to infinity, by suppos
Externí odkaz:
http://arxiv.org/abs/2412.05884
Consider a class of chemotaxis-fluid model incorporating a volume-filling effect in the sense of Painter and Hillen (Can. Appl. Math. Q. 2002; 10(4): 501-543), which is a supercritical parabolic-elliptic Keller-Segel system. As shown by Winkler et al
Externí odkaz:
http://arxiv.org/abs/2410.02214
We study the (generalized) one-dimensional population model developed by Anguige \& Schmeiser [1], which reflects cell-cell adhesion and volume filling under no-flux boundary condition. In this generalized model, depending on the adhesion and volume
Externí odkaz:
http://arxiv.org/abs/2409.05909
We generalize the one-dimensional population model of Anguige \& Schmeiser [1] reflecting the cell-to-cell adhesion and volume filling and classify the resulting equation into the six types. Among these types, we fix one that yields a class of advect
Externí odkaz:
http://arxiv.org/abs/2409.04689
We study the existence of weak solutions for a model of cell invasion into the extracellular matrix (ECM), which consists of a non-linear partial differential equation for the density of cells, coupled with an ordinary differential equation (ODE) des
Externí odkaz:
http://arxiv.org/abs/2407.11228
Autor:
Zuojun Ma
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30816-30837 (2024)
In this paper, the pattern formation of a volume-filling chemotaxis model with bistable source terms was studied. First, it was shown that self-diffusion does not induce Turing patterns, but chemotaxis-driven instability occurs. Then, the asymptotic
Externí odkaz:
https://doaj.org/article/f316f24da0be4fb08c1e667cfdd0591c
Autor:
Botteon, Andrea
Diffuse synchrotron emission in the form of radio halos and radio relics probe the existence of relativistic electrons and magnetic fields in galaxy clusters. These nonthermal components are generated from the dissipation of kinetic energy released b
Externí odkaz:
http://arxiv.org/abs/2409.13856
In this paper, we study an optimal control problem for a coupled non-linear system of reaction-diffusion equations with degenerate diffusion, consisting of two partial differential equations representing the density of cells and the concentration of
Externí odkaz:
http://arxiv.org/abs/2407.07519
Autor:
Crossley, Rebecca M.1 (AUTHOR) rebecca.crossley@maths.ox.ac.uk, Maini, Philip K.1 (AUTHOR), Lorenzi, Tommaso2 (AUTHOR), Baker, Ruth E.1 (AUTHOR)
Publikováno v:
Studies in Applied Mathematics. Nov2023, Vol. 151 Issue 4, p1471-1497. 27p.