DECAY IN CHEMOTAXIS SYSTEMS WITH A LOGISTIC TERM

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DECAY IN CHEMOTAXIS SYSTEMS WITH A LOGISTIC TERM

机译：具有逻辑术语的趋化性系统衰变

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This paper is concerned with a general fully parabolic Keller-Segel system, defined in a convex bounded and smooth domain Omega of R-N; for N epsilon {2, 3}, with coefficients depending on the chemical concentration, perturbed by a logistic source and endowed with homogeneous Neumann boundary conditions. For each space dimension, once a suitable energy function in terms of the solution is defined, we impose proper assumptions on the data and an exponential decay of such energies is established.

机译：本文涉及一般完全抛物线keller-segel系统，其在R-N的凸有限和平滑域Omega中定义; 对于Nε，2,3}，根据化学浓度，由物流源扰动并赋予均匀Neumann边界条件的系数。对于每个空间尺寸，一旦定义了解决方案的合适的能量函数，我们将对数据进行适当的假设，并且建立了这种能量的指数衰减。

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《Industrial and organizational psychology》 |2020年第2期|共12页
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正文语种 eng
中图分类心理学;
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Nonlinear parabolic systems; asymptotic behavior; chemotaxis; PDEs in connection with biology and other natural sciences.;

机译：非线性抛物系统;渐近行为;趋化性;与生物学和其他自然科学有关的PDE。;

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1. DECAY IN CHEMOTAXIS SYSTEMS WITH A LOGISTIC TERM [J] . MONICA MARRAS, STELLA VERNIER-PIRO, GIUSEPPE VIGLIALORO Discrete and continuous dynamical systems▼hSeries S . 2020,第2期

机译：具有逻辑术语的趋化性系统衰变
2. Boundedness and decay behavior in a higher-dimensional quasilinear chemotaxis system with nonlinear logistic source [J] . Zheng Jiashan, Wang Yifu Computers & mathematics with applications . 2016,第10期

机译：具有非线性逻辑源的高维拟线性趋化系统的有界性和衰减行为
3. On the stability of homogeneous steady states of a chemotaxis system with logistic growth term [J] . Chaplain M. A. J., Tello J. I. Applied mathematics letters . 2016,第Null期

机译：具有对数增长项的趋化系统的均质稳态的稳定性
4. Boundedness in a quasilinear parabolic-elliptic repulsion chemotaxis system with logistic source [C] . Yilong Wang International Computer Conference on Wavelet Active Media Technology and Information Processing . 2014

机译：具有逻辑源的拟线性抛物线-椭圆形排斥趋化系统的有界性
5. Qualitative Analysis of a PDE Model for Chemotaxis with Logarithmic Sensitivity and Logistic Growth [D] . Fuster Aguilera, Padi. 2021

机译：对数敏感性和物流生长的趋化性PDE模型的定性分析
6. Logistic Regression of Ligands of Chemotaxis Receptors Offers Clues about Their Recognition by Bacteria [O] . Takashi Sagawa, Ryota Mashiko, Yusuke Yokota, 2017

机译：趋化性受体配体的Logistic回归提供了细菌识别它们的线索
7. On the stability of homogeneous steady states of a chemotaxis system with logistic growth term [O] . Chaplain, Mark Andrew Joseph, Tello, J. I. 2016

机译：具有对数增长项的趋化系统的均匀稳态的稳定性

DECAY IN CHEMOTAXIS SYSTEMS WITH A LOGISTIC TERM

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